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HACTEHA [7]
3 years ago
14

Graph the system of equations to determine the solution. In your final answer, include your graph and the solution.

Mathematics
1 answer:
Nataly_w [17]3 years ago
3 0

Answer:

Infinitely many solution.

Step-by-step explanation:

The given system is

x = y + 4

y = x - 4

To graph the first equation, we write it in slope-intercept form to get: to

x=y+4

This implies y=x-4.

This has a slope of 1 and a y-intercept of -4.

The graph of this function is shown in the attachment.

The second equation is y=x-4.

This equation is identical to first equation, so its graph coincides with the first one.

The system has infinitely many solution.

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Danielle earns a 8.25% commission on everything she sells at the electronics store where she works. She also earns a base salary
Mariulka [41]

Answer: her sales last week was $4300.

Step-by-step explanation:

Let x represent her her sales in a week.

Danielle earns a 8.25% commission on everything she sells at the electronics store where she works. This means that the commission she gets if she makes sales of $x is 0.0825x

She also earns a base salary of $675 per week. The expression for the total earnings for a week in which she made sales of $x would be

0.0825x + 675

if her total earnings for last week were $1,029.75, it means that

0.0825x + 675 = 1029.75

0.0825x = 1029.75 - 675

0.0825x = 1029.75 - 675

0.0825x = 354.75

x = 354.75/0.0825

x = $4300

3 0
3 years ago
_ 4. How many roots does the following equation have: 2x^4 – x^3 – 12x^2 – 25x + 5 = 0
vlada-n [284]

Answer:

B. 4

Step-by-step explanation:

The degree of the polynomial (the exponent of the highest term) is the total number of roots (including imaginary roots).

The degree of this polynomial is 4, so there are 4 roots.

7 0
3 years ago
Is the following a reflection,<br> rotation or translation?
Blababa [14]
Rotation

It’s rotating 90 degrees counterclockwise
5 0
2 years ago
Select the correct answer from the drop-down menu.
Contact [7]

Answer:

The correct option is C.

C) -x + 2

Step-by-step explanation:

In mathematics, the term which is being divided is called a dividend. The term by which the dividend is getting divided is called a divisor. The quotient is the term we get after dividing the dividend by a divisor.

Here in this case, the dividend is written.

-x²    x    x

which in the equation form is written as

-x² + x + x

add the x terms to simplify

-x² + 2x

The divisor is given as x, divide the equation by x:

(-x² + 2x)/x

(-x²/x) + (2x/x)

-x+2

Which is the quotient.

4 0
3 years ago
Hi, can someone please help me? trying to graduate :(
ehidna [41]

Answer:

D

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = - 2 , then

y = - 2x + c ← is the partial equation

to find c substitute (3, - 2 ) into the partial equation

- 2 = - 6 + c ⇒ c = - 2 + 6 = 4

y = - 2x + 4 ← equation of line in slope- intercept form

7 0
2 years ago
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