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3 years ago

5(7n + 8) - 2( 4n+ 6) show how you got the answer

Mathematics

1 answer:

astra-53 [7]3 years ago

7 0

Answer:

$\huge\boxed{\sf 27n + 28}$

Step-by-step explanation:

= 5(7n + 8) - 2(4n + 6)

Distribute

= 35n + 40 - 8n - 12

Combine like terms

= 35n - 8n + 40 - 12

= 27n + 28

$\rule[225]{225}{2}$

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The cost of renting a landscaping tractor is a $100 base fee plus the hourly rate.

agasfer [191]

Answer:

a. f(h) = 100 + mh and g(h) = 100 + 2mh

b. The slope of g(h) is double of slope of f(h).

c. f(x) = 100 + mx.

Step-by-step explanation:

The cost of renting a landscaping tractor is a $100 base fee plus the hourly rate.

a. If the hourly rate is $m per hour, then the function f(h) represents the cost of renting the tractor for h hours, then

f(h) = 100 + mh .......... (1)

If the hourly rate is doubled i.e. 2m, then the function g(h) represents the cost of renting the tractor for h hours, then

g(h) = 100 + 2mh ........... (2)

b. If we graph the function f(h) then the slope of the equation will be m and the y-intercept will be 100.

If we graph the function g(h) then the slope of the equation will be 2m and the y-intercept will be 100.

Therefore, in the case of g(h), the slope will be double the slope of f(h).

c. If the tractor is rented for x hours, then the function f(h) will be

f(x) = 100 + mx. (Answer)

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4 years ago

16+10/5-3*2=12 true or false.

Zina [86]

We need to follow the order of operations to get this one right.
16 + (10/5) - (3*2)
16 + (2) - (6)
16 + 2 - 6
18 - 6
12<em /><em>. </em>Your answer is true!

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4 years ago

Which of the following expressions could represent the total amount withdrawn from Brandon’s checking account during the time pe

den301095 [7]

The Solution:

Given:

Each withdrawal by Brandon = $x

ATM charge per transaction = $2

Required:

To find an expression for Brandon's total withdrawal if he withdraws the same amount once a week for 7 weeks.

Step 1:

We shall find the total amount of each withdrawal, that is, the sum of the amount withdrawn and the ATM charge for the transaction.

$\text{ Each withdrawal=x+2=\$(x+2)}$

Step 2:

Finding the required total amount, we have:

$\text{ Total amount withdrawn=7(x+2)=\$7(x+2)}$ $\begin{gathered} 7(x+2) \\ or \\ 7x+14 \\ \text{ or} \\ 7\mleft(x\mright)+7\mleft(2\mright) \end{gathered}$

Therefore, the correct answers are: [options 2, 3, and 4]

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2 years ago

Two functions are given below. F(x)= 4x + 5 and g(x)= 7x + 7. How does the graph of f compare with the graph of g?'

Finger [1]

Since the slope of f(x) is 4 (from 4x) and the slope of g(x) is 7, that means that f(x) changes 4 every time x changes, but g(x) changes 7, making g(x) more steep and f(x) less steep

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3 years ago

What is the probability of rolling a number less than or equal to 2 on a six sided die?

Kruka [31]

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4 years ago

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