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Alexus [3.1K]
3 years ago
5

Arrange the decimals from 1. greatest to least

Mathematics
1 answer:
Iteru [2.4K]3 years ago
3 0

Answer:

hi I am new to brainly want to be my friend

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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.

6 0
3 years ago
Solve x2 - 10x = -21
ipn [44]

Answer:

add 21 to both sides to get everything on one side

x^2 - 10x + 21 = 0

do factorization, guess and check

(x - 7) (x -3) = 0

x =7, and x =3

8 0
3 years ago
Read 2 more answers
Which system of equations can you use to find the width of the rectangle ?
Andreas93 [3]
Length times with (l) (w)
8 0
3 years ago
Carter is selling his bike. His research shows that the bike has a current value of $90, which is 45% of the amount Carter paid
GaryK [48]

Carter paid $200 for the bike.

Step-by-step explanation:

Given,

Current value of bike = $90

This represent 45% of the original amount Carter paid for bike.

Let,

x represent the original amount of bike.

45% of x = 90

\frac{45}{100}x=90\\\\0.45x=90

Dividing both sides by 0.45

\frac{0.45x}{0.45}=\frac{90}{0.45}\\x=200

Carter paid $200 for the bike.

Keywords: percentage, division

Learn more about division at:

  • brainly.com/question/899976
  • brainly.com/question/884169

#LearnwithBrainly

6 0
3 years ago
Simplify square root of 1008 ( V` Represents the square root sign.)
Alexus [3.1K]
So first factor it
1008=2*2*2*2*3*3*7
group them in similar pairs
1008=(2*2)(2*2)(3*3)*7
now remember we can do
\sqrt{xy}= \sqrt{x} \sqrt{y} so
\sqrt{1008}= (\sqrt{2*2}) (\sqrt{2*2}) (\sqrt{3*3}) (\sqrt{7})=
2*2*3*\sqrt{7}=
12√7

the answer is B

5 0
3 years ago
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