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Crazy boy [7]
3 years ago
13

How do I do this please help me I will give you thank even tho it’s not important Ahahah please help me

Mathematics
1 answer:
xxTIMURxx [149]3 years ago
4 0

Answer:

(-2 , 5)

(-1 , 0)

(1 , -4)

(3 , 0)

(4 , -5)

Step-by-step explanation:

<u>First solve the equation:</u>

x² - 2x - 3

<em><u>Find two numbers with have a sum of -2 and a product of -3.</u></em>

-3 and 1

(x - 3)(x + 1)

Solve for x:

x - 3 = 0

x = 3

x + 1 = 0

x = -1

You know that the graph will cross the x-axis at -1 and 3.

(-1 , 0)

(3 , 0)

You know that the graph is positive.

<u>Complete the square to find the vertex</u>

x² - 2x - 3

(x - 1)² = x² - 2 + 1

x² - 2x - 3 = x² - 2 + 1 - 2 = (x - 1)² - 2

1 = 0

x = 1

Substitute into the original equation:

x² - 2x - 3 =

1² - (2 * 1) - 3 =

1 - 2 - 3 =

-4

(1 , -4)

<em><u>You can input any two numbers within -10 and 10. Such as -2 and 4.</u></em>

x² - 2x - 3 =

-2² - (2 * -2) - 3 =

4- -4- 3 =

5

(-2 , 5)

x² - 2x - 3 =

4² - (2 * 4) - 3 =

16 - 8 - 3 =

-5

(4 , -5)

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3 years ago
The Johnsons are buying their first home. They are contemplating two similar loans. The first is a 30-year loan for $150,000 at
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Johnson's will pay by the end of the 20-year loan $326,807.25

Johnson's will pay by the end of the 30-year loan $512,109.68

Step-by-step explanation:

The formula for compound interest, including principal sum is

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  • P is the principal investment amount (the initial deposit or loan amount)
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The Johnson's are buying their first home. They are contemplating

two similar loans

The first is a 30-year loan for $150,000 at an interest rate of 4.1% APT

compounded monthly

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The second is a 20-year loan for a $150,000 at an interest rate of 3.9%

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∴ A=150,000(1+\frac{0.039}{12})^{(12)(20)}

∴ A = $326,807.25

Johnson's will pay by the end of the 20-year loan $326,807.25

Learn more:

You can learn more about interest in brainly.com/question/12773544

#LearnwithBrainly

7 0
3 years ago
Please answer and tell me how you did it
stira [4]
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4 0
3 years ago
7 times the sum of a number and 4 is the same as 8 decreased by 3 times a number
suter [353]

7(x4) = 8-x

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your first step would be to move your 3x to the other side of the equation by adding 3x to both sides after this your equation should look as follows: 7(4+x)+3x=8 2nd: you should distribute your 7 to the numbers inside of the parentheses and combine like terms to get 10x+28=8 then you move your 28 to the other side by subtracting 28 and you will get 10x=-20 divide by ten to get the answer which is x=-2

Edit: Sorry for the answer before. I realised my mistake.

7 0
3 years ago
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