4 years ago

I need help with this question

Mathematics

1 answer:

Varvara68 [4.7K]4 years ago

6 0

The distance between Hadley and Greenville is 16 miles.

29-13=16

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Evaluate g(p)•h(p) by modeling or by using the distribution property

Nataly [62]

$g(p) \cdot h(p) = p^{4}+2 p^{3}-8 p^{2}-2p+4$

Solution:

Given data:

$g(p)=(p-2)$ and $h(p)=\left(p^{3}+4 p^{2}-2\right)$

To find $g(p) \cdot h(p)$ :

$g(p) \cdot h(p)= (p-2)\cdot \left(p^{3}+4 p^{2}-2\right)$

Distributive property: $a(b+c)=ab + ac$

$= p\left(p^{3}+4 p^{2}-2\right) -2\left(p^{3}+4 p^{2}-2\right)$

$= \left(p^{4}+4 p^{3}-2p\right) +\left(-2p^{3}-8 p^{2}+4\right)$

$= p^{4}+4 p^{3}-2p-2p^{3}-8 p^{2}+4$

Arrange and add/subtract same powers.

$= p^{4}+(4 p^{3}-2p^{3})-8 p^{2}-2p+4$

$= p^{4}+2 p^{3}-8 p^{2}-2p+4$

Hence $g(p) \cdot h(p) = p^{4}+2 p^{3}-8 p^{2}-2p+4$

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3 years ago

Carl types 180 words in 2 minutes. At this rate how many words does Carl type in 5 minutes

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180×5=900 words in 5mins

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3 years ago

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The gray family net monthly income is $4,800. They have budgeted $960 for their mortgage payment. Which best represents the perc

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