Answer:
20+7x
Step-by-step explanation:
you'd multiply 2 by 5 and 2 by 3x which will give you 10+ 6x; Then add the others : 2(5+3x)+(x+10) would be 10+6x+x+10 so its 20+7x. .
33 is composite
49 is composite
21 is composite
Part A
<h3>Answer:
h^2 + 4h</h3>
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Explanation:
We multiply the length and height to get the area
area = (length)*(height)
area = (h+4)*(h)
area = h(h+4)
area = h^2 + 4h .... apply the distributive property
The units for the area are in square inches.
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Part B
<h3>Answer:
h^2 + 16h + 60</h3>
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Explanation:
If we add a 3 inch frame along the border, then we're adding two copies of 3 inches along the bottom side. The h+4 along the bottom updates to h+4+3+3 = h+10 along the bottom.
Similarly, along the vertical side we'd have the h go to h+3+3 = h+6
The old rectangle that was h by h+4 is now h+6 by h+10
Multiply these expressions to find the area
area = length*width
area = (h+6)(h+10)
area = x(h+10) ..... replace h+6 with x
area = xh + 10x .... distribute
area = h( x ) + 10( x )
area = h( h+6 ) + 10( h+6 ) .... plug in x = h+6
area = h^2+6h + 10h+60 .... distribute again twice more
area = h^2 + 16h + 60
You can also use the box method or the FOIL rule as alternative routes to find the area.
The units for the area are in square inches.
The choices are missing but we can find the right equation from the given information
The equation that models this situation is 6 g + 10 m = 162
Step-by-step explanation:
The given is:
- Max earned a total of $162 working at two jobs
- He worked 6 hours at his grandfather's store
- He worked 10 hours at the local movie theater
- g represents the hourly rate paid by Max's grandfather, and m represents the hourly rate paid by the movie theater
We need to write an equation models this situation
∵ g represents the hourly rate paid by Max's grandfather
∵ He worked 6 hours at his grandfather's store
∴ He earned from his grandfather = 6 × g = 6 g dollars
∵ m represents the hourly rate paid by the movie theater
∵ He worked 10 hours at the local movie theater
∴ He earned from the local movie theater = 10 × m = 10 m dollars
Add 6 g and 10 m to find his total earning
∵ His total earning = 6 g + 10 m
∵ Max earned a total of $162
- Equate his total earning by 162
∴ 6 g + 10 m = 162
The equation that models this situation is 6 g + 10 m = 162
Learn more:
You can learn more about the linear equation in brainly.com/question/1284310
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Answer:
C) f(x) increases by 900%
Step-by-step explanation:
The rate of change is
f(4) - f(3)
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4-3
f(4) = 9*4 = 36
f(3) = 9*3 = 27
36 -27
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4-3
9
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1
The rate of change is 9
To change to a percent, multiply by 100%
9*100% = 900%
