Mathematics High School

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

Read more about absolute functions at

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Related Questions

PLE HELPP ASAPPP RN I NEED HELP ON 1 AND 3 URGENTLY TYYY

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Answer:

1.)a.)x is divided by two and is one is added to get y

b.)y=x/2 + 1

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The answer to this question would be
-1/27
Because its 3 to the 3rd power.

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Answers

Answer:

a. 36

b. 54

c. 2

d. 3

Step-by-step explanation:

a. [tex]6^{2}[/tex]

Calculate 6 to the power of 2 and get 36.

6 x 6 =

b. 56 + -2

Subtract 2 from 56 to get 54.

56 - 2 =

c. 6 + -[tex]2^{2}[/tex]

Calculate 2 to the power of 2 and get 4.

6-4

Subtract 4 from 6 to get 2.

d. [tex]\frac{-2 + 20}{6}[/tex]

Add −2 and 20 to get 18.

[tex]\frac{18}{6}[/tex]

Divide 18 by 6 to get 3.

For a field trip 29 students rode in cars and the rest filled five buses. How many students were
in each bus if 294 students were on the trip?
Pls help

Answers

294-29=265

265/5=53

53 students on each bus

Find the slope of the line graphed below!!

Answers

Answer:

The slope is 3/2

Step-by-step explanation:

Rise = 3

Run = 2

Rise/Run = 3/2

A number that is a factor of 2 or more numbers is called a ______ of those number

Answers

Answer:

Composite

Step-by-step explanation:

A composite number is a number with 2 or more factors while a prime number is a number with only 2 factors.

Answer:

composite number.

Step-by-step explanation:

Please answer this question correctly, and include work within your answer.

Answers

Answer: 11.9 and 12.5

Step-by-step explanation:

|x - 12.2| = 0.3 is telling us that x must be either 12.2 + 0.3 or 12.2 - 0.3.

Longest is (12.2 + 0.3) = 12.5

Shortest is (12.2 - 0.3) = 11.9

Joseph jogged at a rate of 5 miles per hour for 30 minutes. How many miles did he jog

Answers

Answer:

150 Miles

Step-by-step explanation:

30 * 5miles = 150

Find the vertex of each parabola.
16. y = -x2 + 6x + 30

Answers

Answer: (3,39)

Step-by-step explanation:

(cos2x-1). sin 3x = 0

Answers

please give Brainly points!!

Please help me with this homework

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Answer:

[tex]slop = \frac{y2 - y1}{x2 - x1} = \frac{ - 4 - 1}{ - 4 - 0} = \frac{ - 5}{ - 4} = 1.25[/tex]

Find the x and y intercepts of -7x-5y=35

Answers

Answer: x-intercept: y = -7

y-intercept: x = -5

Step-by-step explanation:

Rearrange to standard format: y=mx+b

-7x-5y=35

-5y= +7x + 35

y= -(7/5)x -7

b is the y-intercept b=-7

Find a value for x that makes y = 0, the x-intercept.

y= -(7/5)x -7

0= -(7/5)x -7

(7/5)x = -7

(5/7)*(7/5)x = (5/7)*(-7)

x = -5, the y-intercept

Which of the following is equivalent to this expression?-3x(-y+4)

-12x-3xy

-12x+3xy

12x+3xy

12x-3xy

-12x-3xy

-12x+3xy

12x+3xy

12x-3xy

Answers

Answer:

The answer is A

Step-by-step explanation:

Hope it helps!

Let f(x)=2(5 ) x−1 . Evaluate f(3) without using a calculator.

Answers

f(x) =2(5)x-1
f(3) =2(5)3-1
f(3) = 30-1
f(3) =29

The value of f(x)=2(5 ) x−1 is 29.

What are polynomials?

A polynomial expression is an expression that can be built from constants and symbols.Polynomials are algebraic expressions that comprise exponents which can be added, subtracted, or multiplied. Polynomials are of different types.Monomial- Linear equations (A monomial is a polynomial with one term)Binomia l- quadratic equation (A binomial is a polynomial with two, unlike terms).

Calculation:-

For F(3)

⇒f(x) =2*(5)*x-1

⇒f(3) =2*(5)*3-1

⇒f(3) = 30-1

⇒f(3) =29

Learn more about polynomials here:-https://brainly.com/question/2833285

#SPJ2

Calculate 36%of $4500

Answers

Answer:

1620

Step-by-step explanation:

0.36*4500=1620

Help me solve this please

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Answer:

translation

Step-by-step explanation:

translation move with same shape and size

Answer:

translation

Step-by-step explanation:

move the same ship and size

Rewrite as a whole number.
80/8

Answers

Answer:

Step-by-step explanation:

Find g(f(x)), given f(x)=3x2−x+1,g(x)=2x

Answers

Answer:

6x²-2x+2

Step-by-step explanation:

For g(f(x)), we have to first do f(x), and then substitute it into the "x" in g(x)

So, f(x) = 3x²-x+1

We need to substitute the "x" in g(x) with this entire thing

So, g(x) = 2x

When we substitute f(x) into it, it instead becomes 2(3x²-x+1)

Next, we have to expand the brackets, and doing so gives us the following:

6x²-2x+2

So that becomes our final answer!

Let me know if it makes sense! :)

!30 POINTS! How can I use this trapezoid to prove the Pythagorean Theorem?

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Answer:

Step-by-step explanation:

When HIPAA requires authorization elements to disclose information, the authorization must a) include core by HIPAA. b ) conforms to releases customarily used in that state . conforming to the releases customarily used by that particular health care provider . d ) include all identifying information .

14−{6+2[−1(8−12)]2} What is the value of the expression? Enter your answer in the box.

Answers

Answer:

-24

Step-by-step explanation:

I took the test

Answer:

-24

Step-by-step explanation:

this is correct, i took the test in k12

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Answer:

i think it's A

Step-by-step explanation:

[tex]3\frac{1}{2} * \frac{1}{6}\\ \frac{7}{12}[/tex]

What’s the answer???????

Answers

Answer:

Step-by-step explanation:HOPE YOU ADD JRVERANO2010

Graph by using the table of values

Answers

I hope the screenshots help, for future references you can you Desmos graphing calculator.

A, B and C lie on a straight line segment.A, E and D lie on a straight line segment.BE = 1.8m, CD = 9m and BC = 1.7m.Work out the length of AB.Write your answer to two decimal places.

Answers

The relationship between the points is an illustration of similar shapes.

The length of AB is 0.43

The given parameters are:

[tex]\mathbf{BE = 1.8}[/tex]

[tex]\mathbf{CD = 9}[/tex]

[tex]\mathbf{BC = 1.7}[/tex]

From the question (see attachment), we have the following observations:

BE corresponds to CDAB corresponds to AC

So, the equivalent ratio is:

[tex]\mathbf{AB:BE =AC:CD }[/tex]

Substitute known values

[tex]\mathbf{AB:1.8 =AC:9 }[/tex]

Express as fractions

[tex]\mathbf{\frac{AB}{1.8} =\frac{AC}{9} }[/tex]

Multiply both sides by 1.8

[tex]\mathbf{AB =\frac{AC}{5} }[/tex]

AC = AB + BC

So, we have:

[tex]\mathbf{AB =\frac{AB + BC}{5} }[/tex]

Substitute 1.7 for BC

[tex]\mathbf{AB =\frac{AB + 1.7}{5} }[/tex]

Multiply through by 5

[tex]\mathbf{5AB =AB + 1.7}[/tex]

Collect like terms

[tex]\mathbf{5AB -AB =1.7}[/tex]

[tex]\mathbf{4AB =1.7}[/tex]

Divide both sides by 4

[tex]\mathbf{AB=0.425}[/tex]

Approximate

[tex]\mathbf{AB=0.43}[/tex]

Hence, the length of AB is 0.43

Answers

Answer:

start with your fahrenheit then Subtract 32 then divide by 1.8

Step-by-step explanation:

i need answer please

Answers

Answer:

2nd one

Step-by-step explanation:

(x,y)

- 3 off of y (because it's going down)

-5 off of x (because it's going left)

Answer:

A=(-4,-2)

B=(-1,-1)

C=(-2,2)

Step-by-step explanation:

A = (1,1) = (-5+1) and (-3+1) = (-4,-2)

B = (4,2) = (-5+4) and (-3,+2) = (-1,-1)

C= (3,5) = (-5+3) and (-3+5) = (-2,2)

m
An African bull elephant has a mass of about 5,5 x 10 grams. A flea has a mass of about 10 x 10 grams. Which statement is true?
O A The mass of the elephant is about 55,000,000 times greater than the mass of the flea.
OB. The mass of the elephant is about 550,000 times greater than the mass of the flea.
O c The mass of the elephant is about 55,000 times greater than the mass of the flea.
OD The mass of the elephant is about 5,500,000 times greater than the mass of the flea.

Answers

Answer:

Aaaaaaaaa

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evaluate the expression -8+5

Answers

-3

If the bigger number is negative the answer is negative

-3 is the answer of this question

HELP ME PLEASE THIS IS DUE VERY SOON

Answers

Answer:

5/12

Step-by-step explanation:

Divide both numbers in one of the ratios by their highest common factor.

Please give me brainliest it helps a lot!!

Please help me with this homework

Answers

Answer:

Slope is 5 or 5/1

Step-by-step explanation:

( 4 - 9 ) / ( -4 - -3 )

( -5 ) / ( -1 )

5 / 1

Hopefully this helps!

Brainliest please?

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