Answer:
x = 3, y = - 2
Step-by-step explanation:
By substitution method,
4x + y = 10 -------> equation 1.
7x + 2y = 17 -------> equation 2.
From equation 1,
y = 10 - 4x ------> equation 3.
Substitute equation 3 in 2,
7x + 2 ( 10 - 4x ) = 17
7x + 20 - 8x = 17
7x - 8x = 17 - 20
- x = - 3
x = 3
Substitute x = 3 in equation 1,
4 ( 3 ) + y = 10
12 + y = 10
y = 10 - 12
y = - 2
Hence,
x = 3
y = - 2
✿————✦————✿————✦————✿
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pa brainliest kung ayaw, edi wag** char
The depth in feet, D. of a scuba diver can be modeled by the function D(x) = -x + 12x + 4. where x is the number of seconds spent diving.
What is the number of seconds spent diving when the scuba diver reaches their maximum depth?
Respond in the space provided
Considering the vertex of the quadratic equation, it is found that the scuba diver reaches maximum depth after 6 seconds.
What is the vertex of a quadratic equation?A quadratic equation is modeled by:
[tex]y = ax^2 + bx + c[/tex]
The vertex is given by:
[tex](x_v, y_v)[/tex]
In which:
[tex]x_v = -\frac{b}{2a}[/tex]
[tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]
Considering the coefficient a, we have that:
If a < 0, the vertex is a maximum point.If a > 0, the vertex is a minimum point.In this problem, the depth is given by:
D(x) = -x² + 12x + 4.
Which means that the coefficients are a = -1, b = 12, c = 4, hence:
[tex]x_v = -\frac{b}{2a} = -\frac{12}{-2} = 6[/tex]
The scuba diver reaches maximum depth after 6 seconds.
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Matt walked 1 mile in 15 minutes. At this rate, how many miles would he walk in 2 hours?
Answer:
8 miles
Step-by-step explanation:
In an hour there is 60 minutes. 15 minutes x 4 = 60 minutes
So multiply 1 mile for 4 to get 4 miles
Matt would walk 4 miles in 1 hour
Mutiply 4 by 2 to get the distance Matt would walk in 2 hours which would be 8 miles.
Answer:
Matt would walk 8 miles in to hours.
Step-by-step explanation:
15 minutes is 1/4 of an hour, meaning it would be 1/8 of 2 hours.
1 mile times 8 = 8 miles
Hope that helps!
Which two numbers doesStartRoot 128 EndRoot lie between on a number line? 11. 0 and 11. 1 11. 2 and 11. 3 11. 3 and 11. 4 11. 4 and 11. 5.
A number line is a representation of a graded straight line. The number √128 will lie between 11.3 and 11.4.
What is a number line?A number line is a representation of a graded straight line that serves as an abstraction for real numbers, which are represented by the letter R. A real number is considered to correspond to every point on a number line, and a point to every real number.
In order to know the location of the √128, we need to write the number √128 in decimal form, therefore, the value of √128 can be written as,
[tex]\sqrt{128} = 11.3137 \approx 11.31[/tex]
Now, on the number line if we plot √128 we will see that it will lie between 11.3 and 11.4, as shown below.
Hence, the number √128 will lie between 11.3 and 11.4.
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Polygon ABCD has the following vertices a (-3,3), B(5,5), C (5, -4) and D (-3, -4) calculate the area of the polygon.
Answer:
64 units squared
Step-by-step explanation:
If you put the points on a graph you can see the shape is a trapezoid. The left and right sides are the bases, the bottom is the height. The area formula is to average the bases and times by the height. see image. You could do a lot of distance formula and slope calculations, but on the graph you can count the squares to find side lengths.
Answer it and you get points
Answer:
79 (first blank)
131 (second blank)
157 (last blank)
Step-by-step explanation:
92-13 to get the first blank, and you get 79.
118+13 to get the second blank, and you get 131.
144+13 to get the last blank and you get 157.
----------------------------------------------------------------------------------------------------------
Check your work:
79+13=92
92+13=105
105+13=118
118+13=131
131+13=144
144+13=157
----------------------------------------------------------------------------------------------------------
I hope this helps!
-No one
Step-by-step explanation:
89 131 157 this is the answer
Ravi buys some hats to sell at a school fete. He buys 56 hats for a total £120
Ravi sells 3/7 of these hats at £3.50 each.
He reduces the selling price of the remaining hats to £3 each.
He sells half of the remaining hats at this selling price.
Work out the profit Ravi makes.
Answer:
$12
Step-by-step explanation:
3/7 of 56 = 24 hats
24 x $3.5 = $84
The remaining hats 56-24 =32 hats
HALF of 32 =16hats
16x$3 =$48
$84 + $48 = $132
But he spent $120
The profit Ravi made = 132-120 = $12
Find the average rate of change, in people per year, for the population between the years 1900 and 1920.
Step-by-step explanation:
the average change rate of a function f(x) in an interval [x1 .. x2] is
(f(x2) - f(x1)) / (x2 - x1)
in our case that is
(7000 - 2500) / (20 - 0) = 4500 / 20 = 225
the population changed in average by 225 people per year from 1900 to 1920.
what is 12x + 11y - 4x -5y
Answer:
8x+6y
Step-by-step explanation:
Combine like terms:
12x-4x=8x
+11y-5y=6y (because 11 is the bigger number and 5 is smaller, the answer is positive [+])
Answer:
8x + 6y
Step-by-step explanation:
1) Rearrange terms and combine like terms:
12x + 11y - 4x - 5y —> 12x - 4x +11y - 5y
2.Simplify (aka add/subtract like terms)
12x - 4x +11y - 5y
- 12x - 4x = 8x
- 11y - 5y = 6y
= 8x + 6y
Hence, 8x + 6y is your answer :)
y+2x=2 find the slope of every line perpendicular to the graph of the equation
Answer:
[tex]m_{perpendicular}[/tex] = [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
given
y + 2x = 2 ( subtract 2x from both sides )
y = - 2x + 2 ← in slope- intercept form
with slope m = - 2
given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-2}[/tex] = [tex]\frac{1}{2}[/tex]
Triangle N P O is shown. Line O N extends through point M to form exterior angle P N M. Angle N P O is 38 degrees. Angle P O N is 39 degrees. Exterior angle P N M is x degrees.
Which statement about the value of x is true?
x > 38
x < 39
x < 77
x > 103
Answer: x>38
Step-by-step explanation:
By the exterior angle theorem, x=39+38=77.
A rectangular prism has a base area of 23 cm² and a height of 6 centimeters. What is the volume of the prism?
Enter your answer in the box.
cm³
+ Brainliest
A rectangular prism with a height of 6 centimeters would have a volume of 138 cubic centimeters.
Given the following data:
Base area = 23 [tex]cm^2[/tex]
Height = 6 centimeters.
The volume of a rectangular prism.Mathematically, the volume of a rectangular prism is given by this formula:
[tex]V = B \times H[/tex]
Where:
H is the height.B is the base area.Substituting the given parameters into the formula, we have;
[tex]V = 23 \times 6[/tex]
V = 138 cubic centimeters.
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solve pls brainliest
Answer:
Step-by-step explanation:
1 1/2 x 4 1/2
2x1=2 2+1=3
3/2
2x4=8 8+1=9
9/2
3/2 x 9/2=
3x9=45
2x2=4
45/4
If B (x,y)=(x-3,y+5), what is B(4,7)?
Can anyone help me please
Answer:
(B (4, 7 ) = (1, 12 )
Step-by-step explanation:
given
B (x, y ) = (x - 3, y + 5 ) , then
B (4, 7 ) = (4 - 3, 7 + 5 ) = (1, 12 )
Which line plot displays a data set with an outlier? pick 1, 2, 3, or 4. I NEED THE ANSWER ASAP! First Answer will get brainliest!
Answer:
4
Step-by-step explanation:
4th one is the answer because 5 is an outlier in the set of data
Answer:
Option 4
Step-by-step explanation:
An outlier is piece of data in a data set which has a recorded frequency dissimilar to the other pieces of dataIn Option 4, 5 is clearly an outlier where the other pieces of data are concentrated within the 11-16 rangeA plane travels a distance of 3,300 miles at a rate of 550 mph. How long will it take
the plane to reach its destination?
Answer:
6 hours
Step-by-step explanation:
Divide 3300 by 550, so it's 6.
How is the sentence "9 less than x is –1" written as an equation?
Answer:
Must not have more than ONE "=" sign in an equation like this one.
9 is less than x is -1
I will take the liberty of deleting the first "is" and then write out the expression:
9 less than x is -1, or x-9 = -1
Add 9 to both sides to determine the value of x: x = 8 (answer)
Step-by-step explanation:
Answer: x-9=-1
(they deleted my answer 4 some reason : /)
Step-by-step explanation:
Which of the following is involved in an informal argument for the formula for the circumference of a circle? (1 point)
Perimeter
Chord
Area
Circumference
The circumference of a circle is the same as the perimeter of the circle.
What is a circle?A circle is the locus of a point such that its distance from a fixed point (center) is always constant.
The circumference of a circle is the same as the perimeter of the circle. It is given by:
Circumference = 2π × radius = π * diameter
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Which graph represents the function y-3 =3/2 (x-4)?
Answer:
Below.
Step-by-step explanation:
You haven't sent the graphs.
y - 3 = 3/2(x - 4)
y - 3 = 3/2x - 6
y = 3/2x - 3
- this is the slope intercept form of the graph.
It will be a straight line which rises to the right and passes through the y axis where y = -3. Also it has a slope of 3/2.
Wne y = 0 x = 2 so it passes through the x-axis at x = 2.
Answer:
The correct representation to the given function is graph A
How much, in total, did Noel spend to cash her three most recent paychecks?
The total amount of money that was spent by Noel to cash her three (3) most recent paychecks is equal to $10.99.
What is a paycheck?A paycheck can be defined as a financial document that is issued by an employer to an employee as payment for the work done over a period of time.
How to calculate the amount spent.From the table, we can see that the amount of money charged by the bank as check processing fee is equal to $1.99, as well as 1.99% (0.0199) of the amount being cashed by a customer.
Thus, we would compute the amount of money spent by Noel as follows:
Noel = (0.0199 × 100.53) + (0.0199 × 119.38) + (0.0199 × 122.52) + (1.39 × 3)
Noel = 2.00 + 2.38 + 2.44 + 4.17
Noel = $10.99.
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HELLP HURRY I WILL GIVE BRAINLIEST
Use the graph.
Answer:
A
Step-by-step explanation:
From inspection of the graph:
a = 3 unitsb = 6 unitsc = 2 unitsd = 4 units[tex]\dfrac{a}{b}=\dfrac36=\dfrac12[/tex]
[tex]\dfrac{c}{d}=\dfrac24=\dfrac12[/tex]
[tex]\dfrac{d}{c}=\dfrac42=2[/tex]
[tex]ab=3 \cdot 6 = 18[/tex]
[tex]cd=2 \cdot 4 = 8[/tex]
[tex]a+b=3+6=9[/tex]
[tex]c+d=2+4=6[/tex]
Therefore, the only expressions that are equal are:
[tex]\implies \dfrac{a}{b}=\dfrac{c}{d}[/tex]
Which point on the number line is at 58/100
Answer:
R
Step-by-step explanation:
If you count the tiks by 10 instead of ones, Q is less than 50, and S and T are both larger than 60. Therefore, R is the only possible answer.
Hope this helped <3 Brainliest please :)
Part B Using squares 1, 2, and 3, and eight copies of the original triangle, you can create squares 4 and 5. Keep the square 4 and square 5 window open. You will need them to complete the rest of the tasks in this section. What are the side lengths of square 4 and square 5 in terms of a and b? Do the two squares have the same area?
The 4 sides of a square are usually the same and the side length of squares 4 and 5 is a+b.
How to explain the square?From the diagram, each side is called the side length. Therefore,
Side length of square 4 = a + bSide length of square 5 = a + bIf the side lengths are equal that is (a + b), then the area which is the square of the side length will also be the same.
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Plan 1 costs $35 per month + $5 per gigabyte of extra data used
Plan 2 costs $50 per month + $2 per gigabyte of extra data used
The computation of the equation shows that the extra data that will be used to have the same amount will be 5 gigabytes.
How to compute equation?Let the amount of extra data used be represented by x.
Plan 1 = 35 + (5 × x) = 35 + 5x
Plan 2 = 50 + (2 × x) = 50 + 2x
35 + 5x = 50 + 2x
Collect like terms
5x - 2x = 50 - 35
3x = 15
x = 15/3 = 5
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(x^2-2x)(2x+3) is equivalent to expression
Answer:
[tex]( {x}^{2} - 2x)(2x + 3) \\ \\ ( {x}^{2} )(2x) + ( {x}^{2} )(3) + ( - 2x)(2x) + ( - 2x)(3) \\ \\ = 2 {x}^{3} + 3 {x}^{2} - 4 {x}^{2} - 6x \\ \\ = 2 {x}^{3} - {x}^{2} - 6x[/tex]
Write the following expressions without using absolute value.
|y-x|, if y>x
Answer:
y-x
Step-by-step explanation:
as y>X so y-x is positive
hence the required expression is y-x
help me !!How many years will it take for the Honda to be worth more than the Range Rover? Justify your
response mathematically.
Answer:
6.03 years
Step-by-step explanation:
The value of the Range Rover decreases 25% per year, so its value "growth" factor is 1-25% = 0.75. The initial value is 60,000, so its exponential value function can be written ...
r(x) = 60000(0.75^x)
The Honda has a "growth" factor of 18000/20000 = 0.90 and an initial value of 20,000, so its exponential value function can be written ...
h(x) = 20000(0.90^x)
__
We want to find x such that h(x) > r(x).
20000(0.90^x) > 60000(0.75^x)
0.90^x > 3(0.75^x) . . . . . . . divide by 20000
(0.90/0.75)^x > 3 . . . . . . . . divide by 0.75^x
x > log(3)/log(1.2) . . . . . . . . take logs, divide by log(1.2)
x > 6.025685
It will take about 6.03 years for the Honda to be worth more.
Find the area of each kite. write your answer as an integer or a simplified radical
The area of the kite is the amount of space it occupies
The area of the assumed kite is 25 square units
How to determine the area of the kite?The question is incomplete, as the dimensions of the kites are not given.
So, I will provide a general explanation
The area of a kite is:
Area = 0.5pq
Where p and q are the lengths of the diagonals of the kite.
Assume that p = 5 and q = 10, for a kite.
The equation becomes
Area = 0.5 * 5 * 10
Evaluate
Area = 25
Hence, the area of the assumed kite is 25 square units
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What is the midpoint of this interval? 50 < x ≤ 60
Add the two ends together and divide by 2:
50 + 60 = 110
110/2 = 55
The midpoint is 55
Answer:
55
Step-by-step explanation:
To find the midpoint, add the two endpoints and divide by 2
(50+60)/2
110/2
55
The midpoint is 55
Explain the advantages and disadvantages of a non-linear rate structure.
Please, help!
Answer:
advantage: it uses memory very efficiently than linear data structures
disadvantages: Non - linear data structures are quite hard to understand and implement than linear data structures
Find the length of the third side. If necessary, round to the nearest tenth. 12 18
Answer (assuming that the shape is a right triangle):
If looking for the hypotenuse: 21.63
If looking for one leg, given other leg is 12, and the hypotenuse is 18: 13.42
Step-by-step explanation:
Given the length of two sides of a right triangle, we can use the pythagorean theorem to find the length of the third side. The pythagorean theorem is [tex]a^{2} + b^{2} = c^{2}[/tex] or [tex]c=\sqrt{(a^{2} + b^{2})}[/tex]. Given this question, I do not know what side of the triangle the problem is looking for, I would assume the hypotenuse, so let's do that first.
[tex]c = \sqrt{(12^{2} +18^{2})} \\c = \sqrt{468} \\c = 21.63[/tex]
Or we can manipulate the equation to find different scenarios of possible legs. Such equation that can be used is [tex]a = \sqrt{c^2 - b^2}[/tex], where c is the hypotenuse.
Only one scenario is possible, with the hypotenuse being 18 because the hypotenuse cannot be less than one of the legs, or that leg basically becomes the hypotenuse because such side is the largest (12 < 18).
So our last scenario is, if we are looking for one leg, given other leg is 12, and the hypotenuse is 18.
[tex]a = \sqrt{18^2-12^2} \\a = \sqrt{180} \\a = 13.42[/tex]
These are our possible answers.