2 years ago

List the integers that satisfy both inequalities: 2X+9<0 and X>-12

1 answer:

5 0

-4.5 through -12
You can’t list all of the possibilities, since there are infinite possibilities:
-5.663764837383
Hope this helps!

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Given the function f(x)=x^2-8x+13f(x)=x, determine the average rate of change of the function over the interval −1≤x≤6.

Ann [662]

Given:

Consider the given function is:

$f(x)=x^2-8x+13$

To find:

The average rate of change of the function over the interval $-1\leq x\leq 6$ .

Solution:

The average rate of change of the function f(x) over the interval [a,b] is:

$m=\dfrac{f(x_2)-f(x_1)}{x_2-x_1}$

We have,

$f(x)=x^2-8x+13$

At $x=-1$ ,

$f(-1)=(-1)^2-8(-1)+13$

$f(-1)=1+8+13$

$f(-1)=22$

At $x=6$ ,

$f(6)=(6)^2-8(6)+13$

$f(6)=36-48+13$

$f(6)=1$

Now, the average rate of change of the function f(x) over the interval $-1\leq x\leq 6$ is:

$m=\dfrac{f(6)-f(-1)}{6-(-1)}$

$m=\dfrac{1-22}{7}$

$m=\dfrac{-21}{7}$

$m=-3$

Therefore, the average rate of change of the function f(x) over the interval $-1\leq x\leq 6$ is -3.

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2 years ago

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tia_tia [17]

Answer:

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x guarts of ice-cream = 10 cakes

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2 years ago

What is probability that the total number of dots appearing on top is 5?

stira [4]

Only 1,4 2,3 3,2 4,1
there are 6x6 =36 combination

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2 years ago

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2 years ago

The wholesale price for a pillow is $3.50 . A certain department store marks up the wholesale price by 60%. Find the price of th

4vir4ik [10]

Answer:

5.60

Step-by-step explanation:

3.50 + 60 % (2.10)= 5.60

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3 years ago