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3 years ago

What is the slope of the line shown in the graph?

Mathematics

1 answer:

weqwewe [10]3 years ago

4 0

The slope of the graph is -2

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What is the range of the cubic function f(x)=2x^3+21

boyakko [2]

ANSWER

$( - \infty , + \infty )$

EXPLANATION.

The given function is

$f(x) = 2 {x}^{3} + 21$

Let

$y= 2 {x}^{3} + 21$

Solve for x.

$2 {x}^{3} = y - 21$

${x}^{3} = \frac{1}{2} y - \frac{21}{2}$

Take cubic root of both sides,

$x = \sqrt[3]{ \frac{1}{2} y - \frac{21}{2} }$

x is defined for all real values of y.

The range refers to the values of y, for which x is defined.

Hence the range is all real numbers.

In interval notation, we write this as,

$( - \infty , + \infty )$

The correct choice is A.

6 0

3 years ago

Read 2 more answers

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Lelechka [254]

Answer:

Step-by-step explanation:

For the first one |8 1/12| the option is D

And for the second one the option is D

8 0

4 years ago

Read 2 more answers

A pot holds 324 milliliters of water. How many liters will 19 pots hold? (2 points) 6.156 liters 6,156 liters 61.56 liters 615.6

Murrr4er [49]

Answer:

the pot needs now 214 milleters of water

Step-by-step explanation:

5 0

3 years ago

Choose the correct mixed number for the quotient.

Reptile [31]

The mixed number in the equation 17/3=5r2 would be 5 2/3=5r2.

7 0

3 years ago

Circle A has a Circumference of approximately 314.159 feet. Circle B has a diameter that is half the size of Circle A. Which is

Kaylis [27]

The diameter of circle B is 50 cm.

Step-by-step explanation:

Given,

The circumference of circle A = 314.159 ft

Diameter of Circle B is half of the diameter of circle A.

Let, the radius of circle A is r

To find the diameter of circle B

Formula

Circumference of a circle of radius r = 2πr

According to the problem,

2πr = 314.159

or, r = $\frac{314.159}{2X3.14}$

= 50 (approx)

So,

The diameter of circle A = 2×50 cm = 100 cm

The diameter of circle B = 50 cm.

4 0

3 years ago