Solve the system of equations.
y= -6x +9
y= -3x +3
a (3,-2)
b. (-2,3)
C. (2,3)
d. No solution

Answers

Answer 1

Answer:

The answer is supposed to be (2,-3), but for some reason I don't see it as one of the choices.

(Please don't get mad or report this answer, the work is below, so you may see for yourself.)

Step-by-step explanation:

Since y equals both -6x + 9 and -3x + 3, we will simply write them into one equation:

-6x + 9 = -3x + 3

Next we will solve for x by isolating it:

So, first subtract 3 on both sides to get -6x + 6 = -3x. Next add 6x on both sides to get 6 = 3x. Then finally divide by 3 on both sides to get 2 = x or you can flip it to be x = 2.

Now that we know what x is, we can plug it back into one of the original equations. In this case we'll plug it into y = -3x + 3:

y = -3(2) + 3

-3 × 2 = -6 and -6 + 3 = -3

So: y = -3

Now we can plug each into an ordered pair (x,y), and your answer is (2,-3).

As always, don't forget to check your work (It's correct btw, I already checked) and I hope this helps you :)

Answer 2

Answer:

x=2, y=-3. (2, -3).

Step-by-step explanation:

y=-6x+9

y=-3x+3

-----------

-6x+9=-3x+3

-6x-(-3x)+9=3

-6x+3x=3-9

-3x=-6

3x=6

x=6/3

x=2

y=-6(2)+9

y=-12+9=-3


Related Questions

if SOMEONE MAKE 4 SMOOTHIES WITH A RATION OF 2;3 WHAT IS AN EQUIVALENT RATIO

Answers

Answer:

8 smoothies: 4:6

2 smoothies: 1:1.5, etc.

The sum of 7/8 of a number and 20 is 34 at minimum

Answers

Answer:

7/8x ≥ 14

Step-by-step explanation:

(sum means addition in case you forgot)

You would start by writing 7/8x + 20 ≥ 34

You would then subtract 20 from both sides to isolate the variable x.

You would then have 7/8x ≥  14

What is the solution to -4|-2x + 6|= -24?
O x=0
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O no solution

Answers

Answer:

x=0 or x=6

Step-by-step explanation:

-4|-2x+6| = -24

|-2x+6| = 6

-2x+6 = 6

-2x = 0

x = 0

-2x+6 = -6

-2x = -12

x = 6

Therefore, x=0 or x=6

How do you solve multistep equations with variables on both sides
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Answers

5x - 8 = 3x + 12

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You have to subtract them both.

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Answers

Answer:

40min

Step-by-step explanation:

Since the ratio is 2:16, we want simplify. both 2 and 16 are dividable by 2.

2 / 2 = 1

16 / 2 = 8.

Now we can use the ratio 1 mile per 8 min. We want the rate of how many min to miles, so we'd multiply 5 by 8 which equals 40.

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Hope this helps!

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Answers

Answer:

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Answers

Answer:

9

Step-by-step explanation:

To find the area of a triangle where you know the x and y coordinates of the three vertices, you'll need to use the coordinate geometry formula: area = the absolute value of Ax(By - Cy) + Bx(Cy - Ay) + Cx(Ay - By) divided by 2. Ax and Ay are the x and y coordinates for the vertex of A. The same applies for the x and y notations of the B and C vertices.

Fill in the numbers for each corresponding letter combination within the formula.

Fill in your formula like this: 0(8-10) + 3(0-0) + 9(0-8).

Subtract the numbers within the parentheses.

0 from 8 = 8, 0 from 0 = 0 and 8 from 10 = 2.

Multiply that result by the number to the left of the parentheses.

0 by 8 = 0, 3 by 0 = 0 and 9 by 2 = 18.

Add the three products together.

0 + 0 + 18 = 18

Divide the sum of the three products by 2.

18 ÷ 2 = 9

Answer:36

Step-by-step explanation:

A restaurant has two sizes of milkshakes, small and regular. The ratio of small milkshakes purchased to regular milkshakes purchased is 14 to 6. What percent of milkshakes purchased are small?

Answers

Answer:

70%

Step-by-step explanation:

the ratio is 14 to 6 so if you have 14 small milkshakes you would also have 6 regular milkshakes

to find a percentage we can buff up the ratio to add up to 100

14 + 6 = 20

100 / 20 = 5

that means we must multiply each side by 5

14 * 5 = 70

6 * 5 = 30

the ratio is now 70 to 30

you would have 70% of milkshakes that are small

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Answers

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Evaluate the given expression for x = 4.
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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

160

Step-by-step explanation:

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Answer:

56

Step-by-step explanation:

For what values of k

Answers

If y = cos(kt), then its first two derivatives are

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y'' = -k² cos(kt)

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-49k² cos(kt) = -15 cos(kt)

⇒   49k² = 15

⇒   k² = 15/49

⇒   k = ±√15/7

Note that both values of k give the same solution y = cos(√15/7 t) since cosine is even.

Which sign makes the statement true?
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B. >
C. =

Answers

It is B correct please
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The shape of f(x) = x^3, but shifted four units to the left, eight units down, and then reflected in the y-axis (in that order)

Answers

Answer:

steps below

Step-by-step explanation:

f(x) = x³

1. shifted four units to the left: f'(x) = (x+4)³

2. eight units down: f''(x) = (x+4)³ - 8

3. reflected in the y-axis: f'''(x) = (-x+4)³ - 8

The final shape after the transformation is f(x) = -(x + 4)³ - 8.

Original function: f(x) = x³

Shifted four units to the left: f(x) = (x + 4)³

Shifted eight units down: f(x) = (x + 4)³ - 8

Reflected in the y-axis: f(x) = -(x + 4)³ - 8

Hence, the final shape of the function after these transformations is f(x) = -(x + 4)³ - 8.

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Answers

Step-by-step explanation:

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Answers

Answer:

Angle 8

Step-by-step explanation:

Refer to the attached picture

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Answers

Answer:

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Which of the following describes the number and nature of all the roots of this function?


f (x) has two real roots and one imaginary root.

f (x) has three real roots.

f (x) has five real roots.

f (x) has three real roots and two imaginary roots.

Answers

Answer:

  f(x) has three real roots and two imaginary roots.

Step-by-step explanation:

The function is degree 5, so will have 5 roots in total. 2 real roots and one complex root are shown. Complex roots come in pairs, so there will be one more, but cannot be two more.

  f(x) has three real roots and two imaginary roots.

__

All five roots must be accounted for. This leaves out the first two choices. The given complex root eliminates the third choice.

Answer:

D

Step-by-step explanation:

did the test

Which of the following is described below?
This object goes forever in opposite
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A. Point
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Answers

Answer:

B. line

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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The factored form of the equation is ...

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Answers

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

y=1                 x=1

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Answers

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Answers

Answer:

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visualize both triangle connected to the middle rectangle, and that's a triangular prism

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What is the measure of JKL?
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O 110°
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240
H
K L

Answers

Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answer:

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