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GenaCL600 [577]
3 years ago
13

Aaliyah is a salesperson who sells computers at an electronics store. She makes a base

Mathematics
1 answer:
hjlf3 years ago
6 0

Answer:

P=1.25x+70

Step-by-step explanation:

So we know that Aaliyah earns $1.25 commission for every computer she sells. No matter what, she will make $70 per day, so that would be our constant. The $1.25 would be our independent variable since it can change depending on the amount of computers x she sells. Therefore, our equation is:

P=1.25x+70

P represents the total pay, 1.25x represents the total commission for x computers, and the 70 is the base pay.

And we're done!

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Quadrilateral ABCD has vertices A(1, 0) B(5, 0) C (7, 2) D(3, 2). Use slope to prove that ABCD is a parallelogram.
Rasek [7]

If ABCD is a parallelogram, we have to prove that slope of AB = CD and slope of BC = DA. Using the formula m = (y1-y2) / (x1-x2), the slope of line segment AB = 0/-4,  CD = 0/-4, BC = 1, DA  = 1. Going back to the condition, the slope we get for each line segment proves that ABCD is a parallelogram.

7 0
3 years ago
I need to figure out how many solutions does the system of equations below have.
Aleonysh [2.5K]

Answer:

The system has one solution.

Step-by-step explanation:

To find the number of solutions of the system, we equal both equations for y.

If we have ax = b, in which both a and b are different of 0, we have one solution.

If both a and b are 0, we have infinite solutions.

If a is 0 and b is not, there are no solutions.

y=6/7x-8 and y=7/9x+10/9

So

\frac{6x}{7} - 8 = \frac{7x}{9} + \frac{10}{9}

\frac{6x}{7} - \frac{7x}{9} = \frac{10}{9} + 8

\frac{54x - 49x}{63} = \frac{10}{9} + \frac{72}{9}

\frac{5x}{63} = \frac{82}{9}

45x = 63*82

Both a and b are different of 0, so the system has one solution.

6 0
2 years ago
What is the cube root of 512m^12n^15?<br> -16m^4n^5<br> -8m^5n^4<br> 8m^4n^5<br> 16m^5n^4
ValentinkaMS [17]

Answer: 8m ^ 4n ^ 5

6 0
2 years ago
1. Refer to the equation 3x − 5y = 15. (a) Create a table of values for at least 4 points. Show your work on how you found the v
Leno4ka [110]

Answer:

We have the equation:

3x - 5y = 15

a) We want to create a table with at least 4 points.

To do this, first, let's write the equation as a function: We must isolate one of the variables. Let's isolate y.

5y = 3x - 15

y = (3/5)*x - 3.

Then we have a linear equation.

Now, we can input different values of x, and see what value takes y in each case, then in this way we can be sure that the points will be on the line.

x = 0.

y = (3/5)*0 - 3

y = -3

Then we have the point (0, -3).

x = 1.

y = (3/5)*1 - 3 = 3/5 - 15/5 = -12/5

y = -12/5

Then we have the point (1, -12/5)

x = 5

y = (3/5)*5 - 3 = 3 - 3 = 0

y = 0

then we have the point (5, 0)

x = 10

y = (3/5)*10 - 3 = 6 - 3 = 3

y = 3

Then we have the point (10, 3).

Now we can create the table

\left[\begin{array}{ccc}x&y\\0&-3\\1&-12/5\\5&0\\10&3\end{array}\right]

Below you can see a graph, where the blue dots are our 4 points, and the green line is the line that represents the equation.

3 0
2 years ago
A survey found that women's heights are normally distributed with mean 62.8 inches and standard deviation of 2.5 inches. This su
Jet001 [13]
<span>a) 

Z*_Upper = (76 - 62.7)/2.5 = 5.32

Z*_Lower = (57 - 62.7)/2.5 = -2.28 

The requirement is to get p(-2.28 < Z < 5.32) = p(Z<5.32) - p(Z<-2.28). 

Use normal distribution table to get the answer for p and multiply with 100 to get the percentage. 

The other questions are now easy for you to answer on your own. Hope it helps.

</span>
4 0
2 years ago
Read 2 more answers
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