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2 years ago

If f(x) = 4 – x2 and g(x) = 6x, which expression is equivalent to (g – f)(3)

Mathematics

2 answers:

VMariaS [17]2 years ago

7 0

6 (3) - 4 + 32
hope this helped

loris [4]2 years ago

6 0

(g-f)(3)=g(3)-f(3)=(6(3))-(4-3²)=(18)-(4-9)=18-(-5)=18+5=23

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SimpifyWhat is x to the power of 3 times x to the power 7?

jeka94

Answer:

Here is your solution-

x³ times x⁷

means, x³×x⁷

Here you just have to add the powers as aⁿ×aᵐ=aⁿ⁺ᵐ

x³⁺⁷

x¹⁰

7 0

2 years ago

Read 2 more answers

Elena is paid a constant rate for each hour she works. The table shows the amounts of money that Elena earned for various amount

Nikolay [14]

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

<u>(a) The average rate of change</u>

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

<u>(b) A function that models the table of values</u>

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

<u>(c) Amount earned for 7.5 hours</u>

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

4 0

2 years ago

Identify the LCM for 6 and 18.<br> 36<br> 108<br> 18<br> 6

Nonamiya [84]

<h2>Answer:</h2><h2>18</h2><h2 /><h2>Hope this helps!!</h2>

4 0

2 years ago

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Benjamin’s and David’s ages add up to 36 years. The sum of twice their respective ages also add up to 72 years. Find their ages

nydimaria [60]

Answer:Benjamin’s age = 30 and David’s age = 6

Explanation:

Let x be the age of Benjamin
Let y be the age of David

x + y = 36

And 2x + 2y = 72

If we plug 30 for x and 6 for y we get:

30 + 6 = 36
36 = 36

2(30) + 2(6) = 72
60 + 12 = 72
72 = 72

=

5 0

2 years ago

Read 2 more answers

Vvorth 1 points

viva [34]

Hi there!

»»————-　★　————-««

I believe your answer is:

"Add 4 to both sides, and then divide by 2. The solution is x = 12."

»»————-　★　————-««

Here’s why:

⸻⸻⸻⸻

To solve for 'x', we would have to use inverse operations.
We would first have to add four to both sides to undo the negative four. Addition is the opposite of subtraction.
We would then divide by 2 to isolate 'x'. Division is the opposite of multiplication.

⸻⸻⸻⸻

$\boxed{\text{Solving for 'x'...}}\\\\2x - 4 = 20\\------------\\\rightarrow 2x - 4 + 4 = 20 + 4\\\\\rightarrow 2x = 24\\\\\rightarrow \frac{2x=24}{2}\\\\\rightarrow \boxed{x = 12}$

⸻⸻⸻⸻

»»————-　★　————-««

Hope this helps you. I apologize if it’s incorrect.

6 0

2 years ago