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balu736 [363]
2 years ago
8

What are the ordered pairs of thesolutions for this system of equations? f(x) = x^2 – 2x + 3; f(x) = -6x

Mathematics
1 answer:
babunello [35]2 years ago
8 0

First you subtract the two equations

x^2-2x+3-6x

You simplify that and get

x^2+4x+3 = 0

Now we solve using the quadratic formula.

We get x = -1 and x = -3.

Now we find the y values by plugging the x values into the equation.

f(x) is the same as y.

y = (-1)^2 - 2(-1) + 3

y = 1+2+3

y = 6

Now for the other x value.

y = (-3)^2 - 2(-3) + 3

y = 9+9

y = 18

So the two ordered pairs are (-1,6) and (-3,18)

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An economist believes that interest rates for thirty-year fixed-rate mortgage loans are decreasing. To investigate this further,
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Answer:

The null hypothesis is H_0: p = 0.22

The alternate hypothesis is H_1: p < 0.22

Step-by-step explanation:

To investigate this further, the economist would like to test the claim that the percent of thirty-year fixed-rate mortgage loans that have a 4.75 percent interest rate is less than 22%.

At the null hypothesis, we test that the proportion is of 22%, that is:

H_0: p = 0.22

At the alternate hypothesis, we test that the proportion is less than 22%, that is:

H_1: p < 0.22

7 0
3 years ago
A cone has a volume of 1570 cubic inches. Which of the following gives the volume of a cylinder with the same radius and same he
Hitman42 [59]

The volume of the cylinder is 4710 cubic inches

Step-by-step explanation:

Volume of the cone = 1570 cubic inches

Volume of cone = 1/3(volume of the cylinder)

So,

Volume of the cylinder = 3(volume of the cone)

Volume of the cylinder = 3(1570)

= 4710 cubic inches

The volume of the cylinder is 4710 cubic inches

3 0
3 years ago
I need some Help please :)
pychu [463]
I think it’s the last one
5 0
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The car dealership decides to revise its commission program. Now the salesperson gets a flat commission of $60 for every $200 of
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4 0
3 years ago
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The booster club will sell raffle tickets to raise money for new band uniforms. The total cost of the uniforms is $16,272. Each
Zina [86]

Answer: 1,356 tickets

12x=16,272

divide by 12 on both sides

12x÷12=16,272÷12

x=16,272÷12

x=1,356

I hope this is good enough:

7 0
3 years ago
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