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vova2212 [387]
3 years ago
9

Express the area of the entire rectangle.

Mathematics
1 answer:
svet-max [94.6K]3 years ago
4 0

Answer:

12n^4-15n^3-3n^2

Step-by-step explanation:

The first step is to distribute the 3n^2 to (4n^2-5n-1), like so:

(4n^2-5n-1)(3n^2)

12n^4-15n^3-3n^2

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Start with how much profit they are making off each race entry. People pay $55 to race, but $15 of that is expenses so they are only profiting $40 for each entry. Now write one side of the equality. They start with $10,000 in donations, and then have a $40 profit for each race entry. So 10,000+40x. X will represent the unknown number of race entries. What do we want that expression to be equal to? We want 10000+40x>55000. It can also be greater than or equal to, not just greater than. Solve for x. Subtract 10000 from each side resulting in 40x>45000. Divide each side by 40 to solve for x. X>1125. X needs to bbe greater than or equal to 1125. If there are 1125 race entries, the charity will profit exactly $55000, so the lowest number of race entries is 1125
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Question 8 (5 points)<br> Simplify (tanx- secx) (tanx+ secx).<br> 1 <br> -1<br> sec^2xtan^2x<br> 0
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Answer:

-1.

Step-by-step explanation:

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which graph represnts a line with a slope ot -2/3 and a y-intercept equal to that of the line y=2/3x-2?
tia_tia [17]
The graph will be as shown in attached figure

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Parallelogram JKLM has vertices J(-1, 6), K(0, 9), L(6, −3), and M(3, −3). What is the coordinates of the image if the parallelo
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Answer: (\dfrac13,-2),\ (0,-3),\ (-2,1),\ (-1,1) .

Step-by-step explanation:

Transformation rule for dilation:

(x,y)\to(kx,ky) , where k = scale factor

Given : Scale factor = -\dfrac13

Parallelogram JKLM has vertices J(-1, 6), K(0, 9), L(6, −3), and M(3, −3)

Vertices after dilation:

(-1,6)\to(-1\times\dfrac{-1}{3},6\times\dfrac{-1}{3})=(\dfrac13,-2)

(0,9)\times(0\times-\dfrac13,9\times-\dfrac13)=(0,-3)

(6,-3)\to(6\times-\dfrac13,\ -3\times-\dfrac13)=(-2,1)

(3,-3)\to (3\times-\dfrac13,\ -3\times-\dfrac13)=(-1,1)

Hence, the coordinates of the image if the parallelogram = (\dfrac13,-2),\ (0,-3),\ (-2,1),\ (-1,1) .

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