Select each expression that is equivalent 18x+3

Charlotte has been saving up to buy a home gym so she can work out at home without having to pay for a

Y_Kistochka [10]

The 15% discount for home gym, and the $889 cost of the Flex 3,000 gives;

1. f(x) = 0.85•x + 139.95

2.

With the deal, Charlotte's before tax cost is $895.6
The deal cost is more than the initial price making the deal not worth it.

3. The domain is; 889 < x < ∞

The range is; 895.6 ≤ f(x) ‹ ∞

<h3>How can the function notation for the cost be found?</h3>

1. The percentage discount Charlotte gets = 15% = 0.15

Cost of the 6 months subscription = $139.95

f(x) = Final before tax

x = Price of the home gym equipment

Therefore;

Given the 15% off, we get;

f(x) = (1-0.15)•x + 139.95

Which gives;

f(x) = 0.85•x + 139.95

2. Question 1

Cost of the Flex3000, <em>x</em> = $889

Therefore;

f(889) = 0.85 × 889 + 139.95 = 895.6

Charlotte's before–tax cost with the deal is therefore, $895.6

Given that the workout channel holds no value to Charlotte, and the deal cost is higher than the initial cost, it isn't worth it for her to pay for the subscription to get the 15% discount

3. The domain if the Awesome Flex is the cheapest option, is the possible initial price of the home gym equipment.

The domain is therefore;

889 < x < ∞

The range is the possible values of the before tax cost.

The range is therefore;

895.6 ≤ f(x) ‹ ∞

Learn more about writing equations here:

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5 0

1 year ago

Two angles are complementary angles if the sum of their measure is 90 degrees. Angle A and angle B are complementary angles, and

Marta_Voda [28]

Let's solve this problem step-by-step.

STEP-BY-STEP SOLUTION:

We will be using simultaneous equations to solve this problem.

First we will establish the equations which we will be using as displayed below:

Equation No. 1 -

A + B = 90°

Equation No. 1 -

A = 2B + 12

To begin with, let's make ( A ) the subject in the first equation as displayed below:

Equation No. 1 -

A + B = 90

A = 90 - B

Next we will substitute the value of ( A ) from the first equation into the second equation and solve for ( B ) as displayed below:

Equation No. 2 -

A = 2B + 12

( 90 - B ) = 2B + 12

- B - 2B = 12 - 90

- 3B = - 78

B = - 78 / - 3

B = 26°

Then we will substitute the value of ( B ) from the second equation into the first equation to solve for ( A ) as displayed below:

A = 90 - B

A = 90 - ( 26 )

A = 64°

ANSWER:

Therefore, the answer is:

A = 64°

B = 26°

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4 0

3 years ago

Find the probability. Round your answer to the nearest hundredth, if needed.

padilas [110]

Answer:

0.2

Step-by-step explanation:

Given:

Total number of students = 20

Number of students who have brown hair = 12

Number of students who have blonde hair = 4

Number of students who have red hair = 3

Number of students who have black hair = 1

To find:

Probability of randomly selecting a blonde-haired student from the classroom.

Solution:

Probability refers to chances of occurring of some event.

Probability = Number of favourable outcomes/ Total number of outcomes

Number of favourable outcomes ( Number of students who have blonde hair ) = 4

Total number of outcomes = 20

So,

Probability of randomly selecting a blonde haired student from the classroom = $\frac{4}{20}=\frac{1}{5}=0.2$

5 0

2 years ago

Find the area of the circle when the circumference is 26 in

andrew11 [14]

Answer:

"None of the answers are correct."

Step-by-step explanation:

The formula for Area given the circumference is A = $\frac{C^{2} }{4\pi }$

$\frac{26^{2} }{4\pi } = 53.79437$

So none of the above are correct

3 0

2 years ago

Find the rule for the sequence<br> First term: 2 3/4<br> Sixth term: 3 7/12<br> Rule:_______

Fantom [35]

K, so areitmetic

an=a1+d(n-1)
a1=first term
d=common differnce

we are given
a1=2 and 3/4
6th term is 3 and 7/12

so

a6=3 and 7/12=2 and 3/4+d(6-1)
3 and 7/12=2 and 3/4+d(5)
minus 2 and 3/4 both sides
10/12=5d
divide both sides by 5 or multiply both sides by 1/5
2/12=d
1/6=d

$a_n=2 \frac{3}{4}+ \frac{1}{6}(n-1)$ or
$a_n=2 \frac{7}{12}+ \frac{1}{6}n$
that is the rule

4 0

3 years ago