Elena gets a base pay of $1,500 per month. She also earns a commission of 8% of the total sale dollars that she sells. What is Elena's earnings for a month in which she has sales of $32,000?

For a real value of z, the general solution of above system of equations is x = -1/3 + (1/3)z, y = 5/3 + (1/3)z and z = z

In this question, we have been given a system of equations.

x+2y-z=3             ...........(1)

-2x-y+z=-1            ............(2)

6x-3y-z=-7            ...........(3)

We need to solve above system of equations using the elimination method.

We solve above system of equations by Gaussian elimination method.

First we write above system f equations in as an augmented matrix.

[tex]\begin{bmatrix}1 & 2 & -1 &|& 3 \\-2 & -1 & 1 &|& -1 \\6 & -3 & -1 &|& -7\end{bmatrix}[/tex]

We convert the augmented matrix into the row echelon form as:

[tex]\begin{bmatrix}1 & 2 & -1 & 3 \\0 & 3 & -1 & 5 \\0 & 0 & 0 & 0\end{bmatrix}[/tex]

So, we get an system of equations as:

x  + 2y -z  = 3         ............(4)

3y - z  = 5                 ...........(5)

From equation (5),

y = 5/3 + (1/3)z

Substitute above value of y in equation (4),

x = 3 - 2[5/3 + (1/3)z] + z

x = -(1/3) + (1/3)z

So, the general solution is,

[tex]\left(\begin{matrix}\frac{-1}{3}+\frac{1}{3}*z \\\\\frac{5}{3}+\frac{1}{3}*z \\\\z\end{matrix}\right)[/tex]

Therefore, for a real value of z, the general solution of above system of equations is x = -1/3 + (1/3)z, y = 5/3 + (1/3)z and z = z

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Answer:

I hope u get an answer

Step-by-step explanation:

thx

Step-by-step explanation:

so so first you have to use that common sense and see what y is equal to and what x is equal to

Answer:x[tex]\geq[/tex]35/2

Step-by-step explanation:

4x-5[tex]\geq[/tex]65

4x-5+5[tex]\geq[/tex]65+5

4x[tex]\geq[/tex]70

4x/4[tex]\geq[/tex] 70/4

x[tex]\geq[/tex]35/2

Answer:

12

Step-by-step explanation:

Answer:

All you have to do is replace the X with the number on the table

Step-by-step explanation:

so the first number is -3 so 3×-3+2

that equals -7 so put -7 as the first number under y. can continue like that

Answer:

1. -7, -4, -1, 2, 5, 8, 11

2. 5, 3, 1, -1, -3, -5, -7

3. -7, -6, -5, -4, -3, -2, -1

4. 13, 10, 7, 4, 1, -2, 5

Step-by-step explanation:

Given:

The point is (-2,4).

To find:

Whether the point (-2,4) satisfy [tex]y<3x+5,y=3x+5[/tex] or [tex]y >3x+5[/tex].​

Solution:

We have a point (-2,4).

Substituting x=-2 in 3x+5 and check whether it is greater, equal or less than y value, i.e., 4.

[tex]3x+5=3(-2)+5[/tex]

[tex]=-6+5[/tex]

[tex]=-1[/tex]

-1 is less than 4.

[tex]3x+5<4[/tex]

[tex]3x+5<y[/tex]

In can be written as

[tex]y>3x+5[/tex]

Therefore, the given point (-2,4) satisfy [tex]y >3x+5[/tex].

Answer:

your answer is C

Step-by-step explanation:

i took the quiz, may i have brainliest please!  :D

Answer:

Step-by-step explanation:

so the scale factor is 7:2

so we need to find 2 * x = 7

3.5 * 2 = 7

Multiply each length by 3.5 to find their new side lengths so:

12 * 3.5 = 42

9 * 3.5 = 31.5

5 * 3.5 = 17.5

e = -2

that should be the correct answer

Answer:

e = 2

Step-by-step explanation:

Answer:

j7yh6tg5rg6tg7h65t

Step-by-step explanation:

need thanks and make me brainiest if it helps you

Answer:

f(x)=-0.25x+4.75

Step-by-step explanation:

-0.25x+4.75

-0.25(-1)+4.75=5

-0.25(3)+4.75=4

Hope this helps!

Answer:

500 seconds

Step-by-step explanation:

This is a distance = rate × time problem

d = 1.5 × 10^11 m

rate = 3 × 10^8 m/s

So, d = rate × t

t = d ÷ rate = 1.5 × 10^11 m ÷ 3 × 10^8 m/s = 500 s

Answer:

see explanation

Step-by-step explanation:

let s be the second side then the first side is s - 5 and the third side is

s - 5 + 3 = s - 2

-------------------------

the perimeter (P) is the sum of the 3 sides of the triangle.

given P = 17 , then

s - 5 + s + s - 2 = 17

3s - 7 = 17 ( add 7 to both sides )

3s = 24 ( divide both sides by 3 )

s = 8

third side = s - 2 = 8 - 2 = 6 in

Answer:

D. y=3x+15

Step-by-step explanation:

find the slope

[tex]\frac{1-(-5)}{-3-(-1)} =3[/tex]

y=mx+b

plug in known values

3=3(-4) + b

b=15

y=3x+15

Answer:

e= 2

W= 15

m= 9

Step-by-step explanation:

for e: yout multiply 5 x 7 to get 35 so 2 x 7 = 14

for W: 20/10 = 2 so divide 30/2 to get 15

for m: 11 x 2 = 22 so do 18 divided 2 to get 9

Answer:

E = 2

W = 15

M = 9

Step-by-step explanation:

You just have to make the denominator / numerator the same.

[tex]\frac{E}{5}[/tex] = [tex]\frac{14}{35}[/tex]

Multiply the first fraction by 7 so that their denominators are both 35.

[tex]\frac{7E}{35}[/tex] = [tex]\frac{14}{35}[/tex]

7E = 14

E = 14 ÷ 7

E = 2

[tex]\frac{20}{30}[/tex] = [tex]\frac{10}{W}[/tex]

Multiply the second fraction by 2 so that their numerators are both 20.

[tex]\frac{20}{30}[/tex] = [tex]\frac{20}{2W}[/tex]

2W = 30

W = 30 ÷ 2

W = 15

[tex]\frac{M}{11}[/tex] = [tex]\frac{18}{22}[/tex]

Multiply the first fraction by 2 so that their denominators are both 22.

[tex]\frac{2M}{22}[/tex] = [tex]\frac{18}{22}[/tex]

2M = 18

M = 18 ÷ 2

M = 9

Answer: The correct answer is 14.

Step-by-step explanation: We have X and Y together, multiply that and get 10. Then we add Z which is 4 and it gets you 14.

Using sampling concepts, one sample of 5 high schools in the city of Chicago is given by:

Brooks,  Hyde Park, Young Womens, Marshall, Noble - UIC.

The problem is incomplete, but researching it on a search engine, it gives us a list of 15 high schools in Chicago, and asks us to take a sample of 5.

Hence, from the concepts of sample and populations, the sample of 5 means that we have to select 5 schools from the 15 listed, hence one possible option is given by:

Brooks,  Hyde Park, Young Womens, Marshall, Noble - UIC.

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Answer:

Negative

Step-by-step explanation:

When an even number of negatives are multiplied together, the product will be positive (because two negatives cancel out). When an odd number of negatives are multiplied together, the product will be negative.

In the given expression, there is also a singular (1) at the end, which we can ignore since anything multiplied by 1 is itself. The other numbers are all negative and there are 3 of them, and since 3 is an odd number, the product will be negative.

I hope this helps!

Answer:

The third choice

Step-by-step explanation:

Negative, because the product (–7)(–2) is positive, and the product (–5)(1) is negative and the product of a positive and a negative number is negative,

pls mark as brainliest hope you have a nice day!

Answer:

c

Step-by-step explanation:

3+4=7<9

Answer:

1. f

2. n

3. n

4. f

5. f

6. f

7. n

8. f

The length of the stake needs to be from the middle of her tent will be 6.9 feet. Then the correct option is C.

What is a right-angle triangle?

It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function. The Pythagoras is the sum of the square of two sides is equal to the square of the longest side.

A camper attaches a rope from the top of her tent, 4 feet above the ground, to give it more support. If the rope is 8 feet long.

Then the length of the stake needs to be from the middle of her tent will be

We have

P = 4 ft

H = 8 ft

Then the base is given by the Pythagoras theorem.

B² = H² - P²

B² = 8² - 4²

B² = 64 - 16

B² = 48

B = 6.9 ft

ether 12 or 4 feet.

























sorry if i didnt help

Answer: answer D

Step-by-step explanation:

i am pretty sure it is D. not 100%, but like 90%. they are both on the outside of the lines, so that is why i know they are exterior. and, they are on opposite sides, so that makes them alternate.

Answer:

The required polynomial is:

[tex]f\left(x\right)=x^3+8x^2+19x+12[/tex]

Step-by-step explanation:

Given the zeros

-4, -1, -3

Zeros can be written as:

x = -4, x = -1, x = -3

Finding the factors

x = -4

x +4 = 0

x = -1

x + 1 = 0

x = -3

x + 3 = 0

Thus, the factor are:

(x+4) (x+1) (x+3)

The original function can be computed by multiplying the factors

[tex]\left(x+4\right)\left(x+1\right)\left(x+3\right)=0[/tex]

as

[tex]\left(x+4\right)\left(x+1\right)=x^2+5x+4[/tex]

so the expression becomes

[tex]\left(x^2+5x+4\right)\left(x+3\right)=0[/tex]

Distribute parentheses

[tex]x^2x+x^2\cdot \:3+5xx+5x\cdot \:3+4x+4\cdot \:3=0[/tex]

[tex]x^2x+3x^2+5xx+5\cdot \:\:3x+4x+4\cdot \:\:3=0[/tex]

[tex]x^3+3x^2+5x^2+15x+4x+12=0[/tex]

Add similar elements: [tex]3x^2+5x^2=8x^2[/tex]

[tex]x^3+8x^2+15x+4x+12 = 0[/tex]

Add similar elements: [tex]15x+4x=19x[/tex]

[tex]x^3+8x^2+19x+12=0[/tex]

Thus, the required polynomial is:

[tex]f\left(x\right)=x^3+8x^2+19x+12[/tex]

Note: your answer choices are a little ambiguous, but I have explained the entire procedure. Hopefully, it will clear your concept.

Answer: Average rate of change = 2

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

it is a 3:5

Step-by-step explanation:

Answer:

3/4 or 0.75

Step-by-step explanation:

1. Cross multiply: (1/2) / (3/4)

2. 1 x 3 = 3 and 2 x 2 = 4

3. 3/4 or 0.75