3 years ago

Expand: f(x)= x^4- x^3+x^2+x-

Mathematics

1 answer:

emmainna [20.7K]3 years ago

6 0

F(x) = x (x^3 - x^2 + x + 1)

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If pis inversely proportional to the square of q, and p is 23 when q is 4, determine p

Misha Larkins [42]

Answer:

$p\ =\ 92$

Step-by-step explanation:

Given

$p\ \alpha\ \frac{1}{q^2}$

$p =23; q=4$

Required

Find p, when $q = 2$

We have:

$p\ \alpha\ \frac{1}{q^2}$

Express as equation

$p\ =\ \frac{k}{q^2}$

Make k the subject

$k =pq^2$

When: $p =23; q=4$

$k =23 * 4^2$

$k =368$

When $q = 2$ , we have:

$p\ =\ \frac{k}{q^2}$

$p\ =\ \frac{368}{2^2}$

$p\ =\ \frac{368}{4}$

$p\ =\ 92$

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3 years ago

The grocery store carries diapers for children. Each diaper container has 48 diapers. Two dozen babies each need a container of

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Answer:

1152 diapers are needed

Step-by-step explanation:

2 dozen babies is equall to 24 babies

-(1 dozen is 12 babies)

If 24 babies need a package of diapers which includes 48 diapers, we need to multiply 24x48 which equals 1152 diapers

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3 years ago

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