What pair of integers has a -16 and a sum of -6

Mathematics

1 answer:

Rasek [7]2 years ago

4 0

Answer:

10 and -16

Step-by-step explanation:

If you add 10 to -16, its -6.

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What is the coeffieent of (x^4)(y^4) in the expansion of (x+y)^8

kap26 [50]

ANSWER

The coefficient is 70.

EXPLANATION

The given binomial expression is

$(x+y)^8$

The specific term of a binomial expansion can be determined using the formula,

$T_{r+1}= nC_ra^{n-r}b^r$
where

$n=8,r=4,a=x,b=y$

We substitute these values into the formula to get,

$T_{4+1}= 8C_4x^{8-4}y^4$

We simplify to get,

$T_{5}= 70x^{4}y^4$

Hence the coefficient is 70.

4 0

2 years ago

What is the value of f(-3)

Readme [11.4K]

$f(x)=\left\{\begin{array}{ccc}-2&if&x < -3\\4x&if&-3\leq x\leq-1\\x^2&if&x > -1\end{array}\right\\\\-3\leq-3\leq-1\to f(x)=4x\\\\f(-3)=4(-3)=-12$