Answer:
0
General Formulas and Concepts:
Algebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define
50x³ -20x + 8x - 21x³ - 3x + 15x - 29x³
Step 2: Simplify
Combine like terms (x³): -20x + 8x - 3x + 15xCombine like terms (x): 0Answer:
[tex]\boxed {\boxed {\sf 0}}[/tex]
Step-by-step explanation:
We are given the expression:
[tex]50x^3-20x+8x-21x^3-3x+15x-29x^3[/tex]
We want to simplify it, so we must combine the like terms. For this equation, the like terms are terms with x³ or x.
First, combine all the x³ terms.
[tex](50x^3-21x^3-29x^3)-20x+8x-3x+15x[/tex]
[tex](0x^3)-20x+8x-3x+15x[/tex]
[tex]-20x+8x-3x+15x[/tex]
Next, combine all the remaining terms, because they are all terms with an x.
[tex]-12x-3x+15x[/tex]
[tex]-15x+15x=0[/tex]
The expression is equal to 0
Solve for x 2x-10=4x
Answer:-5
Step-by-step explanation:
2x-10=4x
-10=2x (subtract 2x from both sides)
-10/2=x (divide both sides by 2)
-5=x
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Solve for the value of x
In parallelogram BCDE if CE= 32 find GF
Please help I’ll give brainliest
Answer:
CF = 16
Step-by-step explanation:
One if the properties of a parallelogram is that the diagonals of a parallelogram bisect each other. This implies that:
CF = ½ of CE
Since CE is given as 32, therefore:
CF = ½ of 32
CF = 16
Describe fully the single transformation that maps shape A onto shape B.
Answer:
The single transformation that maps shape A onto shape B is a reflection across the line y = 2
Step-by-step explanation:
The coordinates of the A are A(-1, 3)
The coordinates of the corresponding point on B is (-1, 1)
Therefore, given that the x-coordinates of the pre-image A and the image B are the same, therefore, we have that image B is a reflection of image A
Also half the vertical distance between figure A and B = (3 - 1)/2 = 1
Therefore, figure A is obtained from figure B by reflection across a horizontal line, 1 unit below the lowest y-coordinate of figure A which is the line y = 3 - 1 = 2
Therefore, we have;
The single transformation that maps shape A onto shape B is a reflection across the line y = 2
21, 31, 41, 51, ... Find S17
Answer:
181
Step-by-step explanation:
Answer:
21=
31=
41=
51=
S17=
help me please and thank you
Given:
A line passes through (-2,-6) and has a slope of [tex]\dfrac{1}{3}[/tex].
To find:
The point slope form of the given line.
Solution:
If a line passes through a point [tex](x_1,y_1)[/tex] with slope m, then the slope intercept form of the line is
[tex]y-y_1=m(x-x_1)[/tex]
The line passes through (-2,-6) and has a slope of [tex]\dfrac{1}{3}[/tex]. So, the point slope form of the line is
[tex]y-(-6)=\dfrac{1}{3}(x-(-2))[/tex]
[tex]y+6=\dfrac{1}{3}(x+2)[/tex]
Therefore, the correct option is A.
Which scatterplot demonstrates a non-linear relationship between x and y?
Answer:
D, or the bottom right.
Step-by-step explanation:
The right lower (U shape) scatter plot : demonstrates a non linear relationship between x & y.
The straight scatter plots denote linear relationships.
The upward sloping curve shows direct or positive linear relationship. The downward sloping curve shows inverse, indirect or negative positive relationship.
The scatter plot parallel to x axis, denotes constant values of y at various levels of x.
The parabolic U shaped curve demonstrates a non linear, ie quadratic relationship between dependent variable y & independent variable x.
To learn more, refer https://brainly.com/question/21839842?referrer=searchResults
Solve for p: 3p+12=c+14
Answer:
p = [tex]\frac{c+2}{3}[/tex]
Step-by-step explanation:
Given
3p + 12 = c + 14 ( subtract 12 from both sides )
3p = c + 2 ( divide both sides by 3 )
p = [tex]\frac{c+2}{3}[/tex]
A unicycle wheel has a diameter of 16 inches. How many inches will the unicycle travel in 7 revolutions?
Use π = 3.14 and round your answer to the nearest hundredth of an inch.
Answer:
The unicycle will travel 351.68 inches in 7 revolutions
Step-by-step explanation:
The circular shape moves a distance equal to its circumference in each revolution, then the rule of the distance of the circular shape travels n turns is D = π d n, where
d is the diameter of the circular shapen the number of revolution∵ A unicycle wheel has a diameter of 16 inches
∴ d = 16 inches
∵ The unicycle will travel 7 revolutions
∴ n = 7
→ Substitute them in the rule of the distance above
∵ D = π(16)(7)
∵ π = 3.14
∴ D = 3.14(16)(7)
∴ D = 351.68 inches
→ No need to round it, it is in the hundredth of an inch
∴ The unicycle will travel 351.68 inches in 7 revolutions
An algebraic expression that contains variables is called
Answer:
An algebraic expression that contains variables is called coefficients.
use a proportion to find the length of side x for the pair of similar figures
Answer:
30.8
Step-by-step explanation:
1. Write the ratio for the smaller triangle as 14/10 and the ratio for the larger triangle as x/22.
2. Set the ratios equal to each other.
14/10 = x/22
3. Cross multiply and solve for x.
14 x 22 = 308
10 x x = 10x
4. Divide by 10
x = 30.8
Answer:
30.8cm they are correct
Step-by-step explanation:
i am from connexus 8th grd pre algrabra
unit 5 lesson 3
1. 1:2
2. C. yes they are similar they have porportional side lengths and = ange measures
3. x = 4.5m
4. x = 30.8cm
5. x = 6 m
Use the picture below to answer questions 14a and 14b
14a) What is the value of x?
14b) What is the measure, in degrees, of angle BDE?
Answer:
x = 35, ∠ BDE = 130°
Step-by-step explanation:
(4x - 10) and (x + 95) are corresponding angles and are congruent, then
4x - 10 = x + 95 ( subtract x from both sides )
3x - 10 = 95 ( add 10 to both sides )
3x = 105 ( divide both sides by 3 )
x = 35
Thus
∠ BDE = 4x - 10 = 4(35) - 10 = 140 - 10 = 130°
In the diagram M is the midpoint if the segment. Find the length of XZ
Answer:
XZ = 14
Step-by-step explanation:
x+2 = 2x-3
-1x from both sides
2 = x - 3
+3 to both sides
5 = x
(plug in x for XM and MZ equations)
(5 + 2) + ((2×5) - 3)
7 + 7 = 14
The numerical length of XZ = 14
We have a Line Segment XZ such that M is mid - point of XZ.
We have to determine the length of XZ.
What is Mid - point of Line Segment?The mid - point of a line segment is a point on a line that divides it into two equal parts.
According to question, we have -
XM = x + 2
MZ = 2x - 3
Since, M is the mid - point of XZ, therefore -
XM = MZ
x + 2 = 2x - 3
2 + 3 = 2x - x
x = 5
Now -
XZ = XM + MZ
XZ = x + 2 + 2x - 3
XZ = 5 + 2 + 10 - 3
XZ = 14
Hence, the numerical length of XZ = 14.
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How would you write the following expression as a single term? 3[2In(x - 1) – In(x)] + In(x + 1)
Answer:
4Inx−5In
Step-by-step explanation:
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A technician makes $34,400 a year and
a computer programmer makes $46,500 a
year. How much more does a computer
programmer make a year compared to a
technician.
a computer programer is making 12,100 more dollars than the technichan.
5
If you scale up the ratio on the left, what will you get for the unknown quantity on the right?
$155
20hours
$465
?
A) 10 hours
B 40 hours
c) 60 hours
D) 100 hours
Answer:60hours
Step-by-step explanation:
465/155×4
=60 hours
50 Points. what is the value of x
Answer:
X will be = to 6°
Cause the lengths is 6
so 6 ×6° = 36°
I hope am wrong
Which function is quadratic?
Function f is defined by f(x) = 1.5^x. Function g is defined by g(x) = 500x^2 + 345x
1. Function f
2. Function g
Answer:
g(x) is a quadratic function ⇒ 2
Step-by-step explanation:
The quadratic function is the function that has 2 as the greatest power of the variable The form of the quadratic function is f(x) = ax² + bx + c, where a, b, and c are constantLet us use the information above to solve the question
∵ f(x) = [tex]1.5^{x}[/tex]
∵ x is the exponent of the base 1.5
→ That means f(x) is not in the form of the quadratic function
∴ f(x) is not in the form of the quadratic function above
∴ f(x) does not represent a quadratic function
∴ f(x) is not a quadratic function
∵ g(x) = 500x² + 345x
∴ The greatest power of x is 2
→ That means g(x) is in the form of the quadratic function above
∵ g(x) is in the form of the quadratic function above, where a = 500,
b = 345, and c = 0 (constant values)
∴ g(x) represents a quadratic function
∴ g(x) is a quadratic function
a girl was asked about her age and she said she is half her mothers age and she was asked how old was her mother and she said i dont know but my mom is 5 years younger than my dad and we asked how old is your dad and she said i dont know but the sum of our ages is equal to 100years.how old is the dad ,the mom and the girl?
Answer: girl- 19yr old mom- 38yr old dad- 43 yr old
Step-by-step explanation:
5x+5=100
5x-5=100-5
5/5x=95/5
x=19
2(19)=38
38+5=43
Amelia started a puzzle at 12:56 p.m. and solved it at 2:33 p.m.
How long did it take Amelia to solve the puzzle?
Step-by-step explanation:
12:56pm to 1:00pm = 4 min
1:00pm to 2:00pm = 1 hour
2:00pm to 2:33pm = 33 min
Total time = 4 min + 1 hour + 33 min = 1 hour 37 minutes.
6 of 10
As an estimation we are told £3 is €4.
Convert €32 to pounds.
у = 3х – 2
y = — 2х +8
How do I solve it by graphing?
on Saturday, Jasmine used her cell phone for 36 minutes. on Sunday she used her cell phone for 18 minutes more than on Saturday. find the ratios of the number of minutes jasmine used her phone for on Saturday to the total number of minutes she used i for on Saturday and Sunday. express your answer in simplest form
Evaluate the expression 2ac is a = 1/2 and c = 9.
Answer:
9
Step-by-step explanation:
the expression is 2ac, so multiply everything together
2 * 1/2 = 1
1 * 9 = 9
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1/2 x 3/10 in simplest form
Answer: 3/10
Step-by-step explanation: 1/2 x 3/10 = 3/20 and we can’t simplify that.
Answer:
The simplest form of 1/2 x 3/10 would be 3/20
If you need it in decimal form it's: 0.15
solve for x
29=4x-11
Answer:
The Right Answer is X=10
Use the given information to find the measures of all angles formed by parallel lines a and b, and transversal m. b One angle is 25° greater than another.
Correct answer gets brainliest!
Answer:∠1 = ∠3 = ∠5 = ∠7 = 77.5°
∠2 = ∠4 = ∠6 = ∠8 = 102.5°
Step-by-step explanation:
In the picture attached, the parallel lines and the transversal are shown.
8 angles are formed, where:
∠1 ≅ ∠3 ≅ ∠5 ≅ ∠7
∠2 ≅ ∠4 ≅ ∠6 ≅ ∠8
On the other hand, ∠1 + ∠2 = 180°, and ∠2 is 25° greater than ∠1, that is ∠1 + 25° = ∠2, therefore:
∠1 + ∠1 + 25° = 180°
2∠1 = 180° - 25°
∠1 = 155°/2
∠1 = 77.5°
and
∠2 = 77.5° + 25° = 102.5°
Answer:
<1=<5
<4=<8
<2=<6
<3=<7[these all are corresponding angle]
<1=<3
<4=<2
<8=<6
<5=<7 [these all are vertically opposite angle]
a.If one angle is 77°let<1=70°
than
<1=<5=<7=<3=77°
again
<1+<2=180°[linear pair]
<2=180°-72=98°
Than
<2=<6=<4=<8=98°
b One angle is 25° greater than another.
let <1=x than <2=<x+25°
<1+<2=180°[linear pair]
x+x+25=180°
2x=180-25
x=155.2
x=77.5°
x+25=77.5°+25°=102.5°
either
<1=<5=<7=<3=77°
<2=<6=<4=<8=102.5°
Or
<1=<5=<7=<3=102.5°
<1=<5=<7=<3=102.5°<2=<6=<4=<8=77°
What is true about the rise of all horizontal lines ?the rise is
Answer:
left to right
Step-by-step explanation:
Answer:
the slope is 0
Step-by-step explanation:
i know this because i asked a math teacher
-75x/4>14/2 I don't get this can someone help me with this?
Is this the equation ur supposed to solve because the question was a little bit messy
[tex] \frac{ - 75x}{4} > \frac{14}{2} [/tex]
Answer
Don has four different chicken coops on his farm. He gathers eggs from each coop every day to sell at the local farmer's market each week. During one week in the summer, the production levels from the coops were compared. • The number of eggs from coop B can be found by subtracting 10 from coop A's production, and then multiplying this result by two-fifths. • The number of eggs from coop C can be found by adding 3 to coop A's production, multiplying this amount by 3, subtracting 4 from this total, and then dividing the whole result by 4. • The number of eggs from coop D can be found by adding 7 to coop A's production, doubling this amount and then dividing the result by 3. A. Define a variable for the number of eggs produced by coop A. Then write expressions for the number of eggs produced by the other coops. B. If coop A produced 125 eggs, how many did each of the other coops produce? C. If the sum of the number of eggs from coop B and coop C was 24 more than the number
Answer:
The answer is below
Step-by-step explanation:
Don has four different chicken coops on his farm. He gathers eggs from each coop every day to sell at the local farmer's market each week. During one week in the summer, the production levels from the coops were compared. • The number of eggs from coop B can be found by subtracting 10 from coop A's production, and then multiplying this result by two-fifths. • The number of eggs from coop C can be found by adding 3 to coop A's production, multiplying this amount by 3, subtracting 4 from this total, and then dividing the whole result by 4. • The number of eggs from coop D can be found by adding 7 to coop A's production, doubling this amount and then dividing the result by 3. A. Define a variable for the number of eggs produced by coop A. Then write expressions for the number of eggs produced by the other coops. B. If coop A produced 125 eggs, how many did each of the other coops produce? C. If the sum of the number of eggs from coop B and coop C was 24 more than the number from coop D. How many eggs did each coop produce
Solution:
a) Let the number of eggs from coop A be w, number of eggs from coop B be x, number of eggs from coop C be y and number of eggs from coop D be z.
x = 2/5(w - 10) (1)
y = (3(w + 3) - 4)/4
y = (3w + 5) / 4 (2)
z = 2(w + 7)/3 (3)
b) Given that w = 125 eggs:
x = 2/5(125 - 10) = 46 eggs
y = (3(125) + 5) / 4 = 95 eggs
z = 2(125 + 7)/3 = 88 eggs
c) x + y = z + 24.
i.e. 2/5(w - 10) + (3w + 5)/ 4 = 2(w + 7)/3 + 24
multiply through by 60:
24w - 240 + 45w + 75 = 40w + 280 + 1440
69w - 165 = 40w + 1580
29w = 1885
w = 65 eggs
x = 2/5(65 - 10) = 22 eggs
y = (3(65) + 5) / 4 = 50 eggs
z = 2(65 + 7)/3 = 48 eggs