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3 years ago

13. Given the function g(x) graphed here.

Mathematics

1 answer:

aksik [14]3 years ago

3 0

Answer:

$g(-3) = 2$

$g(0) = 3$

Step-by-step explanation:

Given

The attached graph

Required

Determine

$g(-3)$

$g(x) = 3$

<em>Since a graph has been provided, the question will be solved graphically;</em>

Solving g(-3)

This implies that;

x = -3

And the interpretation is to solve for the y value when x = -3

From the attached graph;

When x = -3; y = 2

Hence;

$g(-3) = 2$

Solving g(x) = 3

This implies that;

y = 3

And the interpretation is to solve for the x value when y = 3

From the attached graph;

When y = 3; x = 0

Hence;

$g(0) = 3$

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3 years ago

A cookbook cost 3 times as a storybook.A cookbook and 4 storybook cost $112.How much did a storybook cost?

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3 years ago

Read 2 more answers

How could y squared be rewritten?<br>

sammy [17]

Answer:

y^2 OR y²

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2 years ago

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8_murik_8 [283]

Answer:

The answer to your question is given below.

Step-by-step explanation:

To which of the above expression is a sum or difference of cube, or not a sum or difference of cube, we shall do the following simplification:

Note: The Cube root of a particular number is simply a multiplication of an identical number in three places.

64x³ – 216

64 has a cube root of 4 and 216 has a cube root of 6. Therefore, the above expression can be written as:

4³x³ – 6³

(4x)³ – 6³

64x³ – 216 = (4x)³ – 6³

Therefore, 64x³ – 216 can be expressed as a difference of cube.

8x^9 + 27

8 has a cube root of 2, x^9 has a cube root of x³ and 27 has a

cube root of 3. Therefore, the above expression can be written as:

2³(x³)³ + 3³

(2x³)³ + 3³

8x^9 + 27 = (2x³)³ + 3³

8x^9 + 27 can be expreessed as a sum of cube

x³ + 125

125 has a cube root of 5. Therefore, the above expression can be written as:

x³ + 5³

x³ + 125 = x³ + 5³

x³ + 125 can be expressed as a sum of cube

36x³ + 121

36 and 121 has no cube root. Therefore, the above expression is not a sum or difference of cube.

x^6 – 16

x^6 has a cube root of x² and 16 has no cube root. Therefore, the above expression is not a sum or difference of cube.

Summary:

Sum or Difference of cubes

64x³ – 216

8x^9 + 27

x³ + 125

Not a Sum or Difference of cubes

36x³ + 121

x^6 – 16

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3 years ago

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Pani-rosa [81]

Answer:

The answer of your question is: y = - x + 11

Step-by-step explanation:

Data

A (3, 8)

B (9,2)

Formula

m = $\frac{(y2 - y1)}{(x2 - x1)}$

(y - y1) = m(x - x1)

Process

1.- Calculate the slope

m = $\frac{2- 8}{9 -3}$

= $\frac{-6}{6}$

m = -1 slope

2.- Substite point A and slope in the equation

(y - 2) = - 1(x - 9)

y - 2 = -x + 9

y = -x + 9 + 2

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3 years ago