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nika2105 [10]
2 years ago
14

Find four consecutive multiples of three that the product of the first and third miners minus eight times the fourth number is n

egative 48
Mathematics
1 answer:
ZanzabumX [31]2 years ago
7 0

Answer:

The four consecutive multiples of three are 6, 9, 12, and 15

Step-by-step explanation:

let the first multiple of 3 = n

second multiple of 3 = (n + 3)

third multiple of 3 =(n + 6)

fourth multiple of 3 =(n + 9)

product of the first and the third = n(n + 6) = n² + 6n

eight times the fourth number = 8(n + 9) = 8n  + 72

The difference between the two =  n² + 6n - (8n  + 72) = -48

n² + 6n - 8n  - 72 = -48

n² - 2n =  -48 + 72

n² - 2n = 24

n² - 2n - 24 = 0

n²  - 2n - 24 = 0

n² + 4n - 6n - 24 = 0

n(n + 4) - 6(n + 4) = 0

(n - 6)(n + 4) = 0

n = 6    or  - 4

n should be a positive number, thus n = 6

The second multiple of 3 =  (n + 3) = 6 + 3 = 9

The third multiple of 3 =(n + 6) = 6 + 6 = 12

The fourth multiple of 3 = (n + 9) = 6 + 9 = 15

                                             

                                                     

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3 years ago
What are the solutions to x2 + 8x + 7 =.b?
loris [4]

Answer:

x = 7 and x = -1

Step-by-step explanation:

First, we need to factor this quadratic.

To do this, start by finding all the factors of C.

7 x 1, -7 x -1

Now, we need to pick out the factors that add up to the b number, which is 8. That would be 7 and 1.

Now, we can use the numbers 7 and 1 to create two binomials.

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The last thing we need to do is to set those binomials to 0 and solve each of them individually.

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Solving the second one gives us our second solution, -1.

The solutions are -7 and -1.

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Answer:

x-int (2, 0)

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General Formulas and Concepts:

  • The y-intercept is the y value when x = 0.  Another way to reword that is when the graph crosses the y-axis.
  • The x-intercept is the x value when y = 0.  Another way to reword that is when the graph crosses the x-axis.

Step-by-step explanation:

<u>Step 1: Locate x-intercept</u>

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<u>Step 2: Locate y-intercept</u>

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Step-by-step explanation:

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