Answers
Answer:
497 inches²
Step-by-step explanation:
Hi!
I have never done a problem like this in my life but I see exactly how it is meant to be solved. Lets try it out.
Let us first remind ourselves of the formulas we need for this.
Formula for a circle and the formula for a triangle.
Circle :
A = [tex]\pi[/tex] x r²
(or Area = pi x radius²) (Note that [tex]\pi[/tex] = 3.14)
Triangle :
A = b x h x 1/2
(or Area = base x height x 1/2)
Now lets see what the question wants from us and what we are given :
Gives us :
Diameter XY = 30 inches
YZ = 20 inches
XZ = 21 inches
And it wants the total area of the shaded regions to the nearest square inch. (Inches²)
Alright so first lets solve this triangle :
We need to do Base x Height x 1/2 :
Input your numbers given :
Base = 21in
Height = 20in
And lets multiply this out :
Base x Height x 1/2
21 x 20 x 1/2
21 x 20 gives us 420
Now we have :
420 x 1/2
Note that this is literally saying it wants half of 420. So we can actually just make it easier and do :
420/20
This gives us 210.
Great! Now we have the area of the triangle which is 210, this will be important later but for now lets move onto the circle.
Alright so we need radius to solve this but it really doesn't give us much about the circle.
But...
If you take a look at ∠YX you can see that it says 30in. This is actually the diameter of the circle and we can use this to find the radius of the circle.
The radius of a circle is 1/2 of the diameter.
And the diameter of a circle is 2 × the radius.
So in this case to find the radius we can actually take the 30inch diameter and divide it by 2 to find our radius.
30/2
=
15
Radius = 15inches!
Now lets look back to our wonderful circle formula.
A = [tex]\pi[/tex] x r²
or if we write it out :
Area = pi x radius²
So now lets plug in the radius we found and then solve to find the area of this circle.
Area = pi x 15²
(Don't forget the tiny 2 next to the 15!)
Now we can multiply this :
pi x 15²
=
706.858347058
Round to the nearest square inch :
707 inches²
(pi = [tex]\pi[/tex])
So now what we have is the area of both shapes. It is smooth sailing from this point on. Let us recap :
Triangle Area = 210 inches²
Circle Area = 707 inches²
Now we have to find the area of the shaded area which is really simple subtraction.
The shaded area is the circle but the triangle is overlapping this shaded area so all we have to do is subtract the triangles area from the circles area so all that will be left is the shaded area of the circle.
So we do :
Circles area - Triangles area = Our answer
707 - 210 = 497
There we go!
Our answer is 497 inches²
This took a minute I am sorry about that but I hope this helps!
If you have any other questions please let me know.
Related Questions
QUICK HELP PLSSSS
which shape is the cross section of a square pyramid
Answers
Answer:
B
Step-by-step explanation:
when a square pyramid is cross sectioned the shape that will appear is the same as that of the base
3.) Solve 5y +1 <36
Answers
Answer:
y<7
Step-by-step explanation:
Please mark brainliest and have a great day!
Answer: y < 7
Step-by-step explanation:
We can assume that the less than sign is an equals sign and use algebra to isolate y.
[tex]5y+1-1 < 36-1\\ 5y < 35\\\frac{5y}{5} < \frac{35}{5}\\ y < 7[/tex]
We first subtracted 1 from both sides to get rid of the +1.
Then we divided both sides by 5 to isolate y.
20POINTS
help me please
Answers
Answer:
a. 50 students are randomly selected from the school; 11 drive to school
b. 407
Step-by-step explanation:
a. to get an accurate viewing, use random people that share 1 large common denominator (from the same school) that also has to do with the question
b. 11/50 is only between 50 students. make the denominator the same (1850) and multiply the same to the numerator
1850/50 = 37
11/50 x 37 = 407/1850
factorize all the question.
Answers
Answer:
5a(a - 2)
2(a^2 - 4)
(x + 5)(x - 5)
(x - 4)(x^2 + 4x + 16)
(a - 3)(a - 2)
(x^2 + x + 1)(x^2 - x - 1)
Step-by-step explanation:
5a^2 - 10a factor out GCF
5a(a - 2)
2a^2 - 8 factor out GCF
2(a^2 - 4)
x^2 - 25 difference of squares
(x + 5)(x - 5)
x^3 - 64 difference of cubes
(x - 4)(x^2 + 4x + 16)
a^2 - 5a + 6 factors of 6 that add to -5
a^2 - 2a - 3a + 6
a(a - 2) - 3(a - 2)
(a - 3)(a - 2)
x^4 - x^2 - 2x - 1 group last three terms
x^4 + (-x^2 - 2x - 1)
x^4 - (x^2 + 2x + 1) factors of 1 that add to 2
x^4 - (x + 1)(x + 1)
x^4 - (x + 1)^2 difference of squares
(x^2 + (x + 1))(x^2 - (x + 1)) simplify
(x^2 + x + 1)(x^2 - x - 1)
find the equation of the straight line with the following gradient point c) 5, (-1,-3)
Answers
Answer:
y = 5x + 2
Step-by-step explanation:
Standard form of Equation of line: y = mx + c
where m = slope or gradient,
c = y-intercept
From the question we know that:
x = - 1
y = - 3
m = 5
We will substitute these values into the equation to find c.
- 3 = (5)(- 1) + c
- 3 = - 5 + c
c = - 3 + 5 = 2
Therefore the equation of this line is: y = 5x + 2
The formula for the area of a triangle is Area=2(base)(height). Write an
expression for the height of a triangle that has an area equal to 10x²+20x and a
base equal to 20x.
Answers
Answer:
B
Step-by-step explanation:
area = 10x^2 + 20x
base = 20x
10x^2 + 20x = 0.5(20x)(height)
10x^2 + 20x = 10x(height)
(10x^2 + 20x) / 10x = height
[tex]\frac{10x^2 + 20x}{10x} = \frac{10x + 20}{10} = \frac{x + 2}{1} = x + 2[/tex]
The answer is B
What is the quotient?
StartFraction t + 3 Over t + 4 EndFraction divided by (t squared + 7 t + 12)
(t + 3) squared
(t + 4) squared
StartFraction 1 Over (t + 4) squared EndFraction
StartFraction 1 Over (t + 3) squared EndFraction
Answers
The answer choice which represents the quotient of the expression given is; 1/(t+4)².
Which answer choice represents the quotient?It follows from the task content that the quotient which is to be evaluated is;
(t+3)/t+4) ÷ (t²+7t +12)
The quotient can therefore be evaluated as follows;
= (t+3)/t+4) ÷ (t+3)(t+4)
= (t+3)/t+4) × 1/(t+3)(t+4)
= 1/(t+4) × 1/(t+4)
= 1/(t+4)².
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Answer:
c
Step-by-step explanation:
c
help me i kinda stuck
Answers
For the given data,
Mean = 2.12
Median = 2
Mode = 2
Range = 3
Statistics
From the question we are to determine the mean
From the given table
Scoops of Ice cream Male Female Other Total frequencies
1 7 3 3 13
2 8 11 2 21
3 10 1 0 11
4 2 1 1 4
∴ [tex]Mean = \frac{(1 \times 13) + (2 \times 21) +(3 \times 11) + (4 \times 4)}{13 +21+11+4}[/tex]
[tex]Mean = \frac{(13) + (42) +(33) + (16)}{49}[/tex]
[tex]Mean = \frac{104}{49}[/tex]
Mean = 2.12
Median = 2
Mode = 2
Range = 4 - 1 = 3
Hence, for the given data
Mean = 2.12
Median = 2
Mode = 2
Range = 3
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Which of the following equations describes the graph?
Identify a transformation of the function f(x) = x by observing the equation of the function g(x) = x − 90.
The base graph has been shifted down 90 units.
The base graph has been shifted right 90 units.
The base graph has been shifted left 90 units.
The base graph has been shifted up 90 units.
Answers
Using translation concepts, the change of f(x) = x to g(x) = x - 90 can be described as follows:
The base graph has been shifted down 90 units.
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, we have that g(x) = f(x) - 90, that is, the base graph was shifted down 90 units.
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It takes the pit crew 15 seconds to change a
tire. How long is this in minutes?
Answers
Answer:
Hey there :) The answer is 0.25 minutes.
Step-by-step explanation:
1 minute = 60 seconds
So, 15 ÷ 60 = 0.25 minutes
Select the correct answer. malik is baking pumpkin bread and banana bread for friends and family. his pumpkin bread recipe calls for 4 eggs and cups of flour, and his banana bread recipe calls for 1 egg and cups of flour. malik has 14 eggs, 16 cups of flour, and plenty of other ingredients to make multiple loaves. what is one combination of breads malik can bake without getting more ingredients? a. 3 loaves of pumpkin bread and 3 loaves of banana bread b. 1 loaf of pumpkin bread and 9 loaves of banana bread c. 2 loaves of pumpkin bread and 6 loaves of banana bread d. 5 loaves of pumpkin bread and 1 loaf of banana bread
Answers
The correct answer is
2 loaves of pumpkin bread and 6 loaves of banana bread. Option C.
How to find a possible combination of bread?For the solution for the Pumpkin bread:
4 eggs
3 1/2 cups of flour
Banana bread:
1 egg
1 (0.5) cups of flour
Available ingredients:
14 eggs
16 cups of flour
Assume 2 loaves of pumpkin bread and 6 loaves of banana bread
For the solution for the Pumpkin bread:
PB=4 eggs* 2
PB= 8 eggs
PB=3 *0.5 * 2
PB = 7 cups of flour
For the solution of the Banana bread:
BB =1 *6
BB= 6 eggs
For cups
BB= 1 (0.5) * 6
BB= 9 cups of flour
In conclusion, The solution of the Total used ingredients
I=8 + 6
I= 14 eggs
For cups
IC=7 + 9
IC= 16 cups of flour
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Answer:
C 2 loaves of Pb and 6 loaves of BB
Step-by-step explanation:
When a person convicted of a crime appeals a conviction, he or she asks a higher court to examine the trial court's decisions to determine whether the proper procedures were followed.
Answers
The statement when a person convicted of a crime appeals a conviction, he or she asks a higher court to examine the trial court's decisions to determine whether the proper procedures were followed is True.
What is Appeals?Appeal occur when a person convicted of a crime want another court to reverse a decisions or to examine and re-check the judgement or outcome of a trial court outcome because the convicted person was not satisfied with the outcome or the result of the trial court .
Hence, the statement is true because an offender that was convicted of a crime can tend to files an appeal with a higher court or appellate court so as to examine the trial court's decisions.
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The pressure, p, with which water passes through a pipe varies inversely as the square of the pipe's radius, 2. If k is the constant of
variation, which equation represents this situation?
Opr²-k
Op=r²2²+k
Op+r²2²=k
Op=kr²
Answers
The variation equation is p = kr^2
How to determine the variation equation?The variables are give as:
Pressure = P
Radius= r
The direct variation from p to the square of r is represented as:
[tex]p\ \alpha\ r^2[/tex]
Express as an equation
p = kr^2
Where k represents the constant of variation
Hence, the variation equation is p = kr^2
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Answer:
The correct answer is the 3rd option
The data below show the hourly wages earned by six employees. The second column shows the number of years of work experience for each employee. The third column is a binary variable indicating whether or not the employee has completed a training program. For the following questions, you may check your work using a calculator but must show how you set up the expression you are using (i.e. show your work).
wage experience training
8 1 0
20 10 0
10 2 0
12 4 0
16 4 1
14 6 1
a) What are the mean, variance, and standard deviation of wages?
b) What is the mean, variance, and standard deviation of experience?
c) Draw a scatter plot with experience on the horizontal axis and wages on the vertical axis. Draw a straight line that best fits the data points. Based on this line, what is the approximate wage of someone with 0 years of experience?
d) What is the covariance of wages and experience? Is this consistent with the line you drew in part c)? Explain.
e) What is the correlation of wages and experience?
Answers
The approximate wage of someone with 0 years of experience is -4.64
a) What are the mean, variance, and standard deviation of wages?The dataset of wages is
Wages = 8, 20, 10, 12, 16, 14
The mean is calculated as:
Mean = Sum/Count
This gives
Mean = (8+ 20+ 10+ 12+ 16+ 14)/6
Mean = 13.33
The variance is
Variance = ∑(x- mean)²/n-1
This gives
Variance = [(8 - 13.33)^2 + (20 - 13.33)^2 + (10 - 13.33)^2 + (12 - 13.33)^2 + (16 - 13.33)^2 + (14 - 13.33)^2]/5
Evaluate
Variance = 18.67
The standard deviation is
Standard deviation = √Variance
This gives
Standard deviation = √18.67
Evaluate
Standard deviation = 4.32
b) What is the mean, variance, and standard deviation of experience?The dataset of experience is
Wages = 1, 10, 2, 4, 4, 6
The mean is calculated as:
Mean = Sum/Count
This gives
Mean = (1+ 10+ 2+ 4+ 4+ 6)/6
Mean = 4.5
The variance is
Variance = ∑(x- mean)²/n-1
This gives
Variance = [(1 - 4.5)^2 + (10 - 4.5)^2 + (2 - 4.5)^2 + (4 - 4.5)^2 + (4 - 4.5)^2 + (6 - 4.5)^2]/5
Evaluate
Variance = 10.3
The standard deviation is
Standard deviation = √Variance
This gives
Standard deviation = √10.3
Evaluate
Standard deviation = 3.21
c) Draw a scatter plot with experience on the horizontal axis and wages on the vertical axis.See attachment for the scatter plot and the straight line that best fits the data points.
The equation of the straight line is
y = 0.69x - 4.64
The approximate wage of someone with 0 years of experience is
y = 0.69 * 0 - 4.64
Evaluate
y = -4.64
Hence, the approximate wage of someone with 0 years of experience is -4.64
d) What is the covariance of wages and experience?This is calculated as:
Cov(x,y) = ∑(x - x mean)(y - y mean)/N - 1
So, we have:
Cov(x,y) = [(8 - 13.33) * (1 - 4.5) + (20 - 13.33)*(10 - 4.5) + (10 - 13.33)*(2 - 4.5) + (12 - 13.33)*(4 - 4.5) + (16 - 13.33)*(4 - 4.5) + (14 - 13.33)*(6 - 4.5)]/5
Evaluate
Cov(x,y) = 12.80
Hence, the covariance of wages and experience is 12.80
Is this consistent with the line you drew in part c?
Yes it is
e) What is the correlation of wages and experience?Here, we use a graphing calculator.
From the graphing calculator, we have:
r = 0.9231
Hence, the correlation of wages and experience is 0.9231
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A couple quick algebra 1 questions for 50 points!
Only answer if you know the answer, quick shout-out to Dinofish32, tysm for the help!
Answers
Answer:
8. yes; 18
9. no
10. no
11. yes; -9
Step-by-step explanation:
The equation for inverse variation is y = k/x. The constant k will be the product of x and y: k = xy.
8.Products are (-3)(-6) = (2)(9) = (4.5)(4) = 18.
Inverse variation with k = 18.
9.Products are ...
(5)(4) ≠ (10)(8).
Not inverse variation.
10.Products are ...
(2)(25) ≠ (2.5)(16).
Not inverse variation.
11.Products are (3)(-3) = (9)(-1) = (12)(-.75) = -9.
Inverse variation with k = -9.
(2x+5/60-95x-3/30=3/2
Answers
Answer:
x = -0.01685
(Is the equation written correctly? This feels like a very unfortunate number)
Step-by-step explanation:
(2x+5/60-95x-3/30=3/2
2x+(5/60)-95x-(3/30)=3/2
2*(2x+(5/60)-95x-(3/30))=3 [Multiply both sides by 2]
4x+(10/60)-190x-(6/30))=3
(2/30)-186x-(6/30))=3 [Simplify]
-186x-(4/30)=3
-186x=3+(4/30)
-186x=(90/30)+(4/30)
x = (94/30)/(-186)
x = -0.01685
sort the sequence according to whether they are arithmetic gemoentic or neither
Answers
98.3, 94.1, 89.9, 85.7 (Arithmetic)
1, 0, -1, 0 (Neither)
1.75, 3.5, 7, 14 (Geometric)
-1, 1, -1, 1..... (Geometric)
Determining the type of a sequenceAn arithmetic sequence has a common difference
A geometric sequence has a common ratio
Considering the given sequences one after the other:
For 98.3, 94.1, 89.9, 85.7,..........
The common difference, d = 94.1 - 98.3 = -4.2
Therefore, 98.3, 94.1, 89.9, 85.7 is an arithmetic sequence
For 1, 0, -1, 0......
The sequence does not have a common difference or a common ratio. Therefore, it is neither an arithmetic nor geometric sequence
For 1.75, 3.5, 7, 14,.....
The common ratio = 3/1.75 = 2
Therefore, it is a geometric sequnec
For -1, 1, -1, 1.....
The common ratio = 1/-1 = -1
It is a geometric sequence
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Which of the following terms are possible in the domain of a sequence? Select all that apply.
Answers
The terms that are possible on the domain of a sequence are given as follows:
13, 25, 60.
What is a sequence?A sequence is a list containing numbers, that may be related or not. It has a 1st term, 2nd term, and so on until the nth term.
The domain is the indexes of the terms, which starts at one and goes until n, hence the possible numbers are:
13, 25, 60.
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Which is the correct equation of the line for the following graph?
Answers
Answer:
(c) y = -3x +6
Step-by-step explanation:
The equation can be written in slope-intercept form when we know the slope and the y-intercept.
Slope-intercept formThe slope-intercept form of the equation of a line is ...
y = mx +b . . . . . . where m is the slope and b is the y-intercept
Y-interceptThe y-intercept is the y-value where the line crosses the y-axis. It is 6. This eliminates choices A and D, leaving choices ...
y = 3x +6 . . . . . choice By = -3x +6 . . . . .choice CSlopeThe line goes down to the right. This is a negative slope, eliminating choice B.
The equation of the line is y = -3x +6.
__
Additional comment
The line intersects the x-axis at x=2. This means the "rise" of the line is -6 units for a "run" of 2 units. The numerical value of the slope is ...
m = rise/run = -6/2 = -3
Now, we know the parameters of the equation are m=-3, b=6, and the equation of the line is
y =-3x +6
Can someone help me with these problems and show work please !
Answers
The domain of g(x)= 3x^2 is Real number and it's range is {y∈R / y≥0}
The domain of h(x)= -3x^2 is Real number and it's range is {y∈R / y ≤0}
The domain of a function f(x) is the set of all values for which the function is defined, and the domain of a function is the set of all values that f takes on. The domain and range are defined for a relation and are the sets of all x-coordinates and all y-coordinates of ordered pairs.
The graph of f(x)= x^2 is given
We need to find the domain and range of g(x)=3x^2 and h(x)= -3x^2
The Graph of 3x^2 is different from x^2 in terms of plotting
When ,
x= -2 g(x)=12
x=-1 g(x)=3
x=0 g(x)=0
x=1 g(x)=3
x=2 g(x)=12
The Graph of -3x^2 is different from x^2 in terms of plotting
When ,
x= -2 g(x)=-12
x=-1 g(x)= -3
x=0 g(x)=0
x=1 g(x)= -3
x=2 g(x)=-12
Domain of g(x) is R and it's range is {y∈R / y≥0}
Domain of h(x) is R and it's range is {y∈R / y ≤0}
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In AABC, if AB = 14 and BC = 9, AC may be equal to
A. 13
B. 23
C. 25
D. 5
Answers
Answer:
A
Step-by-step explanation:
By the triangle inequality theorem, 5<AC<23.
So, the answer is A.
Which ordered pair comes from the table?
X Y
3 4
4 4
5 2
6 5
A. (4,3)
B. (2,5)
C. (5,6)
D. (6,5)
Answers
The ordered pairs from the options given that is from the table is: D. (6,5).
How to Write an Ordered Pair from a Table?An ordered pair is written in the form, (x, y). The first number in the bracket is the x-value on the table, and the second number is its corresponding y-value form the table.
From the table given, the ordered pairs are: (3, 4), (4, 4), (5, 2), and (6, 5).
The number pair from the table from the given options is: D. (6,5).
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Someone please answer this for me (Algebra 2)
Answers
Using division of fractions, the equivalent expression is:
B. [tex]\frac{4}{d - 6}[/tex].
How to divide fractions?To divide two fractions, we multiply the first by the inverse of the second.
In this problem, we have that:
The first fraction is: [tex]\frac{2d - 6}{d^2 + 2d - 48} = \frac{2(d - 3)}{(d + 8)(d - 6)}[/tex].The second fraction is: [tex]\frac{d - 3}{2d + 16} = \frac{d - 3}{2(d + 8)}[/tex].Applying the multiplication, we have that:
[tex]\frac{2(d - 3)}{(d + 8)(d - 6)} \times \frac{2(d + 8)}{d - 3} = \frac{4}{d - 6}[/tex].
Hence option B is correct.
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Zachary is a salesperson who sells computers at an electronics store. He makes a base pay amount each day and then is paid a commission as a percentage of the total dollar amount the company makes from his sales that day. Let P represent Zachary's total pay on a day on which he sells x dollars worth of computers. The table below has select values showing the linear relationship between x and P. Determine the percentage commission Zachary makes on his daily sales.
Answers
The tabular values can be used to derive the formula relationship between x and P which gives the percentage commission of Zachary as 1%
How can the percentage commission be calculated?From the above table, we have;
P = x × y% + bWhere;
y = The fixed percentage commission Zachary makes
b = Zachary's base pay
Therefore;
105 = 3000 × y + b... (1)110 = 3500 × y + b... (2)125 = 5000 × y + b... (3)Subtracting equation (1) from (2), gives;
110 - 105 = (3500 - 3000) × y + b - b = 0
5 = 500•y
y = 5/500 = 0.01 = 1%
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36a^(4)b^(10)-81a^(16)b^(20) factor the given expression using the difference of squares pls
Answers
The factorized expression using difference of squares is as follows,
9a²b⁵ (2+3a⁶b⁵)(2-3a⁶b⁵)
Difference of Squares
Difference of squares is a factorization method where an expression can be factored as (a + b) (a - b) when considered as the difference of two perfect squares, a²-b². For instance, factoring x²-25 results in (x+5) (x-5). By enlarging the parentheses in (a + b) (a - b), the pattern (a + b) (a - b)=a²-b² is used as the foundation for this technique.
Factorization Using Difference of Squares
Given expression is,
36a⁴b¹⁰ - 81a¹⁶b²⁰
= (6a²b⁵)² - (9a⁸b¹⁰)²
Using square of differences, we have
a² - b² = (a + b) (a - b)
Here, a = 6a²b⁵ and b = 9a⁸b¹⁰
Thus, we get,
(6a²b⁵ + 9a⁸b¹⁰)(6a²b⁵ - 9a⁸b¹⁰)
Further Factorization
We can take out 3 common from both the bracket terms after applying difference of squares
3×3(2a²b⁵ + 3a⁸b¹⁰)(2a²b⁵ - 3a⁸b¹⁰)
= 9(2a²b⁵ + 3a⁸b¹⁰)(2a²b⁵ - 3a⁸b¹⁰)
Further, we can take out a²b⁵ as common from both the bracket terms
= 9a²b⁵ (2+3a⁶b⁵)(2-3a⁶b⁵)
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division of 3 fraction
(2/5 ÷ 3/8 ) ÷ -3/5
Answers
(2/5 x 8/3) x -5/3
= 16/15 x -5/3
= -16/9
Answer is -16/9
Answer:
-16/9
Step-by-step explanation:
( [tex]\frac{2}{5}[/tex] ÷ [tex]\frac{3}{8}[/tex] ) ÷ [tex]-\frac{3}{5}[/tex]
= ( [tex]\frac{2}{5} * \frac{8}{3}[/tex] ) ÷ [tex]-\frac{3}{5}[/tex]
= [tex]\frac{16}{15}[/tex] ÷ [tex]-\frac{3}{5}[/tex]
= [tex]\frac{16}{15} * -\frac{5}{3}[/tex]
= -16/9
18 pieces of furniture by this Saturday. The materials for each bookcase cost him $20.00 and the materials for each TV stand cost him $40.00. He has $600.00 to spend on materials. Andrew makes a profit of $60.00 on each bookcase and a profit of $100.00 for each TV stand. Find how many of each piece of furniture Andrew should make so that he maximizes his profit.
Answers
Andrew should make 6 bookcase and 12 tv stand to maximize his profut $1560.
Given that 18 pieces of furniture is made and the materials for each bookcase cost him $20.00 and the materials for each TV stand cost him $40.00 and he has $600.00 to spend on materials. He makes a profit of $60.00 on each bookcase and a profit of $100.00 for each TV stand.
Let x represent the number of book case and let y represent number of tv stand.
Total number of book case and total number of tv stand is x+y≤18 ......(1)
Total amount of book case and total amount of tv stand is 20x+40y≤600 ......(2)
minimum amount of book case is x≥0 and minimum amount of tv stand is y≥0.
Now, solve the inequality (1) by converting it into equality and substituting x=0 and y=0, we get
x+y=18
When x=0 then
0+y=18
y=18
When y=0 then
x+0=18
x=18
Now, solve the inequality (2) by converting it into equality and substituting x=0 and y=0, we get
20x+40y=600
When x=0 then
20(0)+40y=600
40y=600
y=15
when y=0 then
20x+40(0)=600
20x=600
x=30
Further, we will grph the inequalities and we get feasible region and taking boundary point from graph.
From the graph the vertices of the feasible region is (0,0),(6,12),(0,15) and (18,0)
Further, we will find the maximization profit for the equation Z=60x+100y
When (x,y)=(0,0) then
Z=60(0)+100(0)
Z=0
When (x,y)=(6,12) then
Z=60(6)+12(100)
Z=360+1200
Z=1560
When (x,y)=(0,15) then
Z=60(0)+12(15)
Z=0+1500
Z=1500
When (x,y)=(18,0) then
Z=60(18)+100(0)
Z=1080
Hence, maximum profit is $1560 when andrew should build 6 bookcase and 12 tv stand.
Learn more about inequality from here brainly.com/question/9774970
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Someone please helpppp
Answers
Answer:
3. Completing the Square
4. 0, 1, or 2
Step-by-step explanation:
Hello!
3) Which of the following is NOT a method to find the x-intercepts of a quadratic equation?a) Graphing
Graphing is a useful method as it lays the answer out in front of you. Once you graph the parabola, you simply take the intersections of the graph and x-axis as your x-intercepts. Therefore, it is a method.
b) Factoring
Factoring can be used to find x-intercepts, and after factoring, you can set each factor to 0 and solve for x, which are the x-intercepts. This method is also called the Zero Product Property.
c) Quadratic Formula
The quadratic formula is meant to solve for the x-intercepts, as the formula uses values of the coefficients to isolate x and solve for it.
Standard form of a Quadratic: [tex]ax^2 + bx + c = 0[/tex]
Quadratic Formula: [tex]x = \frac{-b\pm\sqrt{b^2 - 4ac}}{2a}[/tex]
Plugging in the values of a, b, and c give you the solutions for x.
d) Completing the Square
Completing the square CAN be used to find the x-intercepts, but not directly so. It is used to convert standard form into a different form, known as the vertex form. It is meant so find the vertex, not the x-intercepts.
Therefore, Completing the Square is NOT a method to find the x-intercepts.
4) How many solutions (x-intercepts) can a quadratic equation have?The number and types of solutions depend on the discriminant of the quadratic (the part under the square root in the QF).
Types of roots:
If positive: 2 real rootsIf negative: 2 imaginary roots (technically 0 roots)If equal to 0: 1 real root (double root)That means that a quadratic equation can have 0, 1, or 2 roots.
Answer:
Completing the square and 2, 1, and 0.
Step-by-step explanation:
Person above is correct!!
What is the ratio?
Help me please I appreciate it :)
Answers
Answer:
I'm assuming that it is 4:1
Step-by-step explanation:
The gross domestic product of the United States in 2020 was $20,940,000,000. What is the gross domestic product of the United States in 2020 expressed in scientific notion?
Answers
Answer:
2.094 x 10¹⁰ I have to add more words soo