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2 years ago

Someone help me with the two math problems

Mathematics

2 answers:

BigorU [14]2 years ago

8 0

Answer:

13. x=0, x= -4

14. NO EXCLUDED VALUE

Step-by-step explanation:

13. set the denominator to equal to 0 = x^2 + 4x = 0

factor the expression x × (x + 4) = 0

separate into possible cases = x = 0 and x = -4

state the excluded value = x = 0 and x = -4

14. set the denominators equal to 9 = x^2 +81 = 0

the statement is false for any value if x = x € ℝ

skad [1K]2 years ago

4 0

Btw, you can just use photo math, its an app you can download on the app store. Just take a pic of the math problem and it'll show you the answer AND how to do it.

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Constant rates are used to illustrate linear functions.

The average rate of change is $9.0 per hour
The function that models the table is: $\mathbf{f(x) = 9x }$
The amount earned in 7.5 hours is $67.5

(a) The average rate of change

This is calculated using:

$\mathbf{Rate = \frac{y_2 -y_1}{x_2 -x_1}}$

So, we have:

$\mathbf{Rate = \frac{31.5-22.50}{3.5 - 2.5}}$

$\mathbf{Rate = \frac{9}{1.0}}$

$\mathbf{Rate = 9.0}$

Hence, the average rate of change is $9.0 per hour

(b) A function that models the table of values

Let x represent hours, and y represent the earnings.

So, we have:

$\mathbf{y =m (x - x_1) + y_1}$

Where:

m =Rate = 9.0

So, we have:

$\mathbf{y = 9(x - 2.5) + 22.5}$

Expand

$\mathbf{y = 9x - 22.5 + 22.5}$

$\mathbf{y = 9x }$

Represent as a function

$\mathbf{f(x) = 9x }$

Hence, the function that models the table is: $\mathbf{f(x) = 9x }$

(c) Amount earned for 7.5 hours

This means that x = 7.5

So, we have:

$\mathbf{f(7.5) = 9 \times 7.5 }$

$\mathbf{f(7.5) = 67.5}$

Hence, the amount earned in 7.5 hours is $67.5

Read more about constant rates at:

brainly.com/question/23184115

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