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V125BC [204]
2 years ago
13

Use the table below to answer this question:

Mathematics
1 answer:
tekilochka [14]2 years ago
3 0

Using it's concept, it is found that the average rate of change of the function from x = -1 to x = 5 is of -1.

<h3>What is the average rate of change of a function?</h3>

It is given by the <u>change in the output divided by the change in the input</u>.

In this problem, the output changes by -6(from 7 to 1) when the input changes by 6(from -1 to 5), hence the average rate is given by:

r = -6/6 = -1.

More can be learned about the average rate of change at brainly.com/question/24313700

#SPJ1

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Kiley is replacing the top of a circular table with glass. The circumference of the table is between 6.28 feet and 12.56 feet. A
Naya [18.7K]

Kiley would need glass of area between 3.14 and 12.56 square feet

Step-by-step explanation:

The Circumference of the circle is given by 2πr where “r” is the radius

Range of the circle’s circumference- 6.28 feet to 12.56 feet

Considering lowest radius as r₁ and the largest as r₂

2πr₁= 6.28

∴r₁= 6.28/(3.14*2) = 1 feet

Similarly

⇒2πr₂=12.56/(3.14*2)=2 feet

We know that area of the circle is given by πr ²

Area of the circle= 3.14*(1)² = 3.14 square feet

Area of the largest radius= 3.14*(2)²= 12.56 square feet

Hence Kiley would need glass of area between 3.14 and 12.56 square feet

5 0
3 years ago
Read 2 more answers
Describe a real-world situation that the graph could represent
kicyunya [14]
Every 1 bag of jelly beans is 5 dollars.Hope it helps :)
6 0
3 years ago
Angie divides the polynomial function f(x)=x3+3x2−7x−21 by (x + 3). What can she conclude from the fact that the remainder is eq
iren [92.7K]

Answer:

See below

Step-by-step explanation:

<u>Given function</u>

  • f(x)=x³ + 3x²- 7x - 21

<u>We can find its factors:</u>

  • x³ + 3x² - 7x - 21 =
  • x²(x + 3) - 7(x + 3) =
  • (x² - 7)(x + 3)

We can conclude that the given polynomial function is fully divisible by (x + 3) and the quotient is (x² - 7)

Also one of zeros of the function is -3

8 0
3 years ago
Last one<br> 7(5k-25)=35
Oksanka [162]

Answer:

K= 6

Step-by-step explanation:

5 0
3 years ago
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△BCD ​ is a right triangle. The length of the hypotenuse is 18 centimeters. The length of one of the legs is 14 centimeters. Wha
Romashka-Z-Leto [24]

Answer:

The answer to your question is   b = 11.31 cm  or   8\sqrt{2} cm

Step-by-step explanation:

Data

hypotenuse = 18 cm

one leg = 14 cm

second leg = ?

Process

1.- Use the Pythagorean Theorem to solve this problem

                 c² = a² + b²

c = hypotenuse

a = longer leg

b= shorter leg

2.- Substitution

                        18² = 14² + b²

-Solve for b

                         b² = 18² - 14²

-Simplify

                         b² = 324 - 196

                         b² = 128

-Find the prime factors of 128

                          128   2

                            64  2

                             32  2

                             16  2

                              8  2

                              4  2

                              2  2

                               1

          128 = 2⁶2¹                                    

-Result

                         b = 11.31   or   8\sqrt{2}

5 0
3 years ago
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