Sadie is doing weekly payroll for her employees at her car dealership. Her employees make a base salary plus commission. The function LaTeX: E(x)=\mid 5- \frac{6x}{2}\mid models the way Sadie calculates the commission where x represents the number of cars the employee sells. If one of her employees sells 7 cars, how much commission will they make?

Answers

Answer 1

The commission function is an illustration of the absolute functions

The commission for the sales of 7 cars is 16

The function is given as:

[tex]\mathbf{E(x)=\mid 5- \frac{6x}{2}\mid}[/tex]

When an employee sells 7 cars, we have:

x = 7

So, the equation becomes

[tex]\mathbf{E(x)=\mid 5- \frac{6\times 7}{2}\mid}[/tex]

Simplify

[tex]\mathbf{E(x)=\mid 5- 3\times 7\mid}[/tex]

[tex]\mathbf{E(x)=\mid 5- 21\mid}[/tex]

Simplify

[tex]\mathbf{E(x)=\mid- 16\mid}[/tex]

Remove absolute brackets

[tex]\mathbf{E(x) = 16}[/tex]

Hence, the commission for the sales of 7 cars is 16

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Related Questions

HELP ASAP 23 POINTS!!!!!!!!!!!!!!!!!!!

Answers

Wheres ya question????

This question is bothering and hurting my brain a lot: A restaurant has a square floor with an area of 324 m². Sketch the resaurant floor. What are its dimensions?

Answers

Answer:

The dimensions are 18m by 18m

Step-by-step explanation:

Since the problem says the floor is square, we know that all 4 sides are equal. The area for a square is one side squared. Since we do not have the actual length per side, we write the following formula: x^2= 324.

From there, we simply take the square root to figure out that one side is 18 meters. Once we know one side, we know all 4 because a square has equal sides. Therefore, the dimensions of the floor are 18m x 18m. I hope this helps!

whats 186,282 rounded to the nearest thousand ?

Answers

Answer: 186,000

Step-by-step explanation:

You round the 282 down so that it is an even thousand. <3

186,282 rounded to the nearest thousand is 186,000.

To round 186,282 to the nearest thousand, we look at the digit in the thousands place, which is '6'.

If the digit in the hundreds place is 5 or greater, we round up. If it is less than 5, we round down.

In this case, since the digit in the hundreds place is '8', which is greater than 5, we round up.

To round up, we increase the digit in the thousands place by 1 and replace all the digits to the right with zeros.

Therefore, rounding 186,282 to the nearest thousand gives us 187,000.

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Slope = 2/5 On a Graph

Answers

Look at it as the rise/run. Go up positive 2 on the graph(y-axis) for every 5 that you go across on the graph. Over 5, up 2, over 5, up 2. Hope this helps

Instructions- Solve the system of equations. Type in all points of intersection for the two functions and round to the nearest tenth if necessary.


f(x) = -0.5x+2
8(x) = -5x + 3

Answers

f(×)=-0,5x+2

8(×)= -5x+3

8×= -5x+3

8-5x+3

3x+3

x6

The nearest tenth as required, the point of intersection expressed as (0.2, 2.1).

To solve the system of equations,  to find the points where the two functions intersect, which means the x-values where f(x) equals g(x). Let's proceed with the solution:

f(x) = -0.5x + 2

g(x) = -5x + 3

Set f(x) equal to g(x):

-0.5x + 2 = -5x + 3

Now, let's solve for x:

Add 0.5x to both sides to eliminate the term with x on the left side:

2 = -4.5x + 3

Subtract 3 from both sides:

-1 = -4.5x

Now, divide by -4.5 to isolate x:

x = -1 / -4.5

x ≈ 0.2222

Now that we have the x-value of the point of intersection, let's find the corresponding y-value by plugging x back into either f(x) or g(x). Let's use f(x):

f(x) = -0.5x + 2

f(0.2222) = -0.5(0.2222) + 2

f(0.2222) ≈ 2.1111

So, the point of intersection is approximately (0.2222, 2.1111).

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Which of the following is written correctly in scientific notation?
11.7 x 104
203 x 10-2
3x75
1.234 x 10-6

Answers

Answer:

it would have tobe the forst option but iy has to be written 11.7 × 10^4

To undo the exponent we have to take the square root a.true b.false

Answers

Answer:

A

Step-by-step explanation:

which shape has ten sides and angles ​

Answers

Answer:

Decagon

Step-by-step explanation:

in the picture

Please show work! Have test tomorrow and stuck, btw thank you! :)

Answers

Answer:

73

Step-by-step explanation:

8² + ( 7 - 4 )² = 64 + 3² = 64 + 9 = 73

Answer:

73

Step by-step explanation:

I dont know how to explain it I just put it into a calculator

Lowest term of 4 11/12

Answers

Answer:

its already at its lowest. you can write it as a decimal 0.916667, but this fraction is already at its lowest.

what does air smell like?​

Answers

Nothing except when it has been polluted

Answer:

Clean air has no smell

Despite all of our best intentions to make a home smell clean, the truth is that clean air should smell like nothing at all.

Step-by-step explanation:

Before the rain begins, one of the first odors you may notice as winds pick up and clouds roll in is a sweet, pungent zing in your nostrils. That's the sharp, fresh aroma of ozone—a form of oxygen whose name comes from the Greek word ozein (to smell).

Module One Project Option 1 It is time to get the fish food ready for the marine life rescue missions. Over the last month, Penny's class has collected fish food in a variety of boxes. In order to ship the food, you are going to help Penny and her classmates. They are going to pack the small cubes of fish food into shipping boxes that are large right rectangular prisms. Shipping Box Fish Food 1 ft ft ft 0 ft 3 ft 3 / 4 Instructions:​

Answers

Answer:

well we know the fish food 1/4 x1/4 x 1/4 = 1/64 because 4x4x4 equals 64 and denominator stays the same and the shipping boxes is simplify 3 3/4x = 15/4 and 3 becomes 3/1 and 3 1/4 becomes 13/4 and multiply 585/16

Step-by-step explanation:

4) Find the perimeter of square whose side is 6.4cm​

Answers

Answer:

Perimeter = 25.6 cm

Explanation:

Square Perimeter Formula: [tex]P = 4 * s (side length)[/tex]

[tex]P = 4*6.4cm \\P = 25.6 cm[/tex]

16.-:- En una granja hay 52 animales, entre vacas y chanchos. Si se sabe que la
frecuencia relativa de vacas es 14, ¿Cuántos chanchos tiene la granja? *
10
13
38
39

Answers

Answer:

what it mean???? I'm just asking

I need help solving this word problem. Pls help me ASAP and explain it step by step so I could understand it. Thanks

Answers

Answer:

n;

Convection; Radiation; Insulation.

PLTS/Gatsby:

Effective participants;

Independent Enquirers.

Compare group 1, 7 and 8 elements.

The BIG question

is… What is the trend in reactivity in the alkali metals, halogens and noble gases

REVISE for the cycle one assessment.

How are the elements in the periodic table different from one another?

How and why have different species evolved over time?

How is heat transferred?

Construct

WSHUTUP

Step-by-step explanation:

please help me with this assignment

Answers

Answer:

let the unknown angle be x

we know. sum of angles of a triangle is 180°

so,

130+20+x=180

150+x=180

x=180-150

x=30°

Write an equation of a line that passes through the point T ( − 2, − 5 ) and is parallel to the line y = 5 x + 7 .

Answers

Answer:

y = 5x + 5

Step-by-step explanation:

the slope to be parallel y = 5x + 7 must still be 5. To make the line pass through T, the given point, you plug (-2, -5) into the y= mx + b formula. This becomes( -5 )= 5 (-2) + B, and you solve for b. In this equation, b = 5.

The circle graph shows the results of a survey. Of those surveyed, 10 said no. About how many people were surveyed?

Answers

Answer:

50 people

Step-by-step explanation:

so to solve this we can use cross multiplying:

first we know that 20% = 10 people and 80% = x people (we put x because we don't know how many people)

then we set it up:

[tex]\frac{10}{20}[/tex] = [tex]\frac{x}{80}[/tex]

= 20x = 800

= x = 40

now it asks how many people were surveyed in total so we add the 10 + 40 = 50

50 people were surveyed

115 - 12
-21 +
0) Simplify:
A. -2
1
4
B.
-
3
4
c.
3
4
D. 2
1
4

Answers

Answer:

B

Step-by-step explanation:

|15-12|/4 = 3/4

|(-21+9)/8| = |-12/8| = 12/8 = 3/2 (Simply)

3/4 - 3/2 = -3/4

So the answer is B.

-7(w+4) +2w - 15 simplify

Answers

Answer:

w=-8.6 is your answer

-5w-43. is the simple version

Step-by-step explanation:

First distrubute the -7 and set equal to 0 so that we can move the w to the other side.

-7w-28+2w-15=0

-5w-43=0

add 43 to both sides so you can slove for w

-5w=43

divide both sides by -5 to isolate the w

w=-8.6

plssss answer the question

Answers

40 apps in one minute
There are 5 sections of 12 seconds in a minute.
If he can download 8 apps every 12 seconds, then in a minute he can download 5 times as that. So 8*5 is 40.
8 apps- 12 seconds
16 apps-24 seconds
24 apps- 36 seconds
32 apps- 48 seconds
40 apps- 60 seconds/ 1 minute
you have to set up a proportion that would be 8/12 and x/60 then you cross multiply 8*60 then divide that by 12 to get x. the answer is 40.

Evaluating expressions please help

Answers

Answer:

-15

Step-by-step explanation:

-1-7*(2)=-1-14=-15

Can someone pls hel me out

Answers

Answer:

Please elaborate more your question so I can actually give you a more accurate answer.

Step-by-step explanation:

A line passes through the point (0, 1) and has a positive slope. Which of these points could that line NOT pass through? Check all that apply.
(12, 3)
(–2, –5)
(–3, 1)
(1, 15)
(5, –2)

Answers

We have to find slopes one by one.

#1

(0,1)

(12,3)

Line passes through this.

#2

(-2,-5)

Line passes through this

#3

(-3,1)

Not possible (Line passes through y axis as one co-ordinate is (0,1))

#4

( 1,15)

Line passes through this

#5

(5,-2)

Therefore, The Line does not pass through this.

PLEASE HELP ME :((((

Answers

Answer:

yes they both form a proportion

What does negative 2 over 3 > −1 indicate about the positions of negative 2 over 3 and −1 on the number line? (4 points) Group of answer choices negative 2 over 3 is located to the right of −1 negative 2 over 3 is located on the left of −1 negative 2 over 3 is located on the right of 0, and −1 is located on the left of 0 negative 2 over 3 is located on the left of 0, and −1 is located on the right of 0

Answers

Answer:

negative 2 over 3 is located to the right of -1

Step-by-step explanation:

-1 is further to the left than negative 2/3.  Negative 2/3 is closer to 0.

Negative 2/3 is between -1 and 0.

These statements eliminate the other possible answers.

You have a $25 gift card for a donut shop. Each donut costs $1.25. Write an equation in
slope-intercept and standard form that gives the amount (in dollars) that remains on the card as a
function of the total numbers of donuts you have purchased so far.

Answers

I believe it would be 2.50 dollars left. (2.50xy)

The equation of the given situation is required.

Slope intercept form [tex]y=-1.25x+25[/tex]

Standard form [tex]1.25x-y=25[/tex]

The total amount of money is $25.

Cost of one donut is $1.25

Let y be the amount of money left

x be the number of donuts bought.

So, the amount of money left after buying x donuts is

[tex]y=25-1.25x\\\Rightarrow y=-1.25x+25[/tex]

The standard form is [tex]1.25x-y=25[/tex]

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h(x)=x2-x;h(5) find function

Answers

Answer:

h(5) = 20

Step-by-step explanation:

Assume that '2' is an exponent.

So the question for you should be:-

[tex] \displaystyle \large{h(x) = {x}^{2} - x}[/tex]

We want to find h(5); we substitute x = 5 in.

[tex] \displaystyle \large{h(x) = {5}^{2} - 5}[/tex]

5^2 is 5•5 = 25.

[tex] \displaystyle \large{h(x) = 25 - 5} \\ \displaystyle \large{h(x) = 20}[/tex]

Therefore, h(5) is 20.

Write the equation of the line in slope intercept form.

Help!!!!!!!

(-8,10); m=1/2

Answers

Answer:

y=1/2x+14

Step-by-step explanation:

If you mark (-8,10) in a graph and go up 1, over 2, then you will eventually get to (0,14).

You can also use the slope formula in reverse. 1/2=b-10/0-(-8)

1/2=b-10/8, then multiply both side by 8

4=b-10, add 10 to both sides

14=b

PLEASE ANSWER I WILL GIVE THANKS AND BRAINLIEST!! <33

Answers

Answer:

13) 10

17) 15

21) 10

25) 1

Step-by-step explanation:

13)

     5x becomes 5(2) which is 5 times 2 = 10

17)

    (4x) + 7 becomes (4 times 2) + 7 = 15

21)

    (2x) + (2y) becomes (2 times 2) + (2 times 3)

                      = 4 + 6

                      = 10

25)

   1/2(z - x) becomes 1/2(4 - 2)

    = 1/2(2)

    = 1

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