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3 years ago

Which function is graphed below? pls help

Mathematics

1 answer:

77julia77 [94]3 years ago

6 0

Answer:

its b Brother

Step-by-step explanation:

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Consider the given function and the given interval. f$x$ = (x - 7)**2 text(, ) [5 text(, ) 11] (a) Find the average value fave

Jet001 [13]

a. $f$ has an average value on [5, 11] of

$f_{\rm ave}=\displaystyle\frac1{11-5}\int_5^{11}(x-7)^2\,\mathrm dx=\frac{(x-7)^3}{18}\bigg|_5^{11}=\frac{4^3-(-2)^3}{18}=4$

b. The mean value theorem guarantees the existence of $c\in(5,11)$ such that $f(c)=f_{\rm ave}$ . This happens for

$(c-7)^2=4\implies c-7=\pm2\implies c=9\text{ or }c=5$

8 0

3 years ago

Which of the following expressions is equivalent to a3 + b3?

lubasha [3.4K]

ANSWER
${a}^{3} + {b}^{3} = (a + b)( {a}^{2 } - ab + {b}^{2} )$

EXPLANATION

To find the expression that is equivalent to
${a}^{3} + {b}^{3}$
we must first expand
${(a + b)}^{3}$
Then we rearrange to find the required expression.

So let's get started.

${(a + b)}^{3} = (a + b) {(a + b)}^{2}$

We expand the parenthesis on the right hand side to get,

${(a + b)}^{3} = (a + b) ( {a}^{2} + 2ab + {b}^{2} )$

We expand again to obtain,

${(a + b)}^{3} = {a}^{3} + 3 {a}^{2}b + 3a {b}^{2} + {b}^{3}$

Let us group the cubed terms on the right hand side to get,

${(a + b)}^{3} = {a}^{3} + {b}^{3} + 3 {a}^{2}b + 3a {b}^{2}$

${(a + b)}^{3} = {a}^{3} + {b}^{3} + 3ab (a+ b)$

We make the cubed terms the subject,

${(a + b)}^{3} - 3ab (a+ b) = {a}^{3} + {b}^{3}$

We factor to get,

$(a + b)({(a + b)}^{2} - 3ab ) = {a}^{3} + {b}^{3}$

We expand the bracket on the left hand side to get,

$(a + b)( {a}^{2} + 2ab + {b}^{2} - 3ab ) = {a}^{3} + {b}^{3}$

We finally simplify to get,

$(a + b)( {a}^{2} - ab + {b}^{2} ) = {a}^{3} + {b}^{3}$

5 0

3 years ago

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Which expression is not a polynomial

polet [3.4K]

4-x I know this because my teacher just went over this problem

6 0

3 years ago

1. Jan spends part of her year as a member of a

antiseptic1488 [7]

Answer:

13 months in a half......

3 0

3 years ago

Can someone please help me out<br> ASAP I WILL GIVE OUT BRAINLY

SashulF [63]

Answer:

x = 9

Perimeter = 74

Area = 342

Step-by-step explanation:

First, find x. to do so, set your formula up as

18 = 8x - 54

18 + 54 = 8x

72 = 8x

72/8 = x

9 = x

Now that you have x, find your missing side

2x + 1 = y, x

2 * 9 + = y

19 = y

Your perimeter is P = 2(l+W)

P = 2(18 * 19)

P = 74

Your area is A = wl

A = 19 * 18

A = 342

3 0

3 years ago

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