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Burka [1]
3 years ago
11

How to find the missing values ?! I never did this.

Mathematics
1 answer:
Semmy [17]3 years ago
8 0

Answer:

  (a, b, c) = (2, -6, 2)  or  (2, 2, -6)

Step-by-step explanation:

Expand the expression on the right and match coefficients, or factor the expression on the left and match factors.

  2x³ -8x² -24x = ax(x +b)(x +c)

  2x(x² -4x -12) = ax(x +b)(x +c)

  2x(x -6)(x +2) = ax(x +b)(x +c)

In this form, we can match the numbers to get ...

  • a = 2
  • b = -6
  • c = 2

You may recognize that b and c can be interchanged.

_____

<em>Alternate solution</em>

If you expand the expression on the right, you get ...

  = ax³ +a(b+c)x² +abcx

This gives you 3 equations:

  • a = 2
  • 2(b +c) = -8
  • 2bc = -24

This is basically the same factoring problem in another form. You have ...

  bc = -12

  b+c = -4

The factors of -12 are ...

  -12 = 1(-12) = 2(-6) = 3(-4) . . . . . . with sums -11, -4, -1

So, b and c are -6 and 2, in no particular order.

  (a, b, c) = (2, -6, 2)  or  (2, 2, -6)

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Answer with explanation:

1.Mean of a Data set

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Slope and y intercept
morpeh [17]

Answer:

y=\frac{25}{1}x+75

The beginning balance of Sophie's account is 75

Step-by-step explanation:

Using the slope intercept form aka y=mx+b

The slope of a line describes how steep a line is.

  • We can see that the y-axis goes up by 25.
  • 25, 50, 75, 100, 125, 150 etc

<u>$ is how much you have in your bank account.</u>

<em>We can see that Sophie starts off with 75 dollars.</em>

In the first week, we see that Sophie has 100 dollars. In the second week, we see that Sophie has 125.

<h3>how to find the slope</h3>

slope formula\\m=\frac{rise(y)}{run(x)}=\frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

The first week (1, 100)

The second week (2,125)

(x_{1}, y_{1})= 1, 100\\(x_{2}, y_{2})= 2, 125\\m=\frac{125-100}{2-1}=\frac{25}{1}    \\Up 25 (aka, 1 line), over 1(aka 2 lines)

<em></em>

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3 years ago
Norman bought 5/6 pounds of cookies. He ate 3/5 cookies. What was the weight of the cookies he ate
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Answer:

Half a pound.

Step-by-step explanation:

To find the number of pounds he ate, multiply the fractions.

\frac{5}{6}*\frac{3}{5} = \frac{15}{30}=\frac{1}{2}

He ate 1/2 a pound.

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Solve:<br> -2/3 a - 6 = 12 <br> what is a
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Answer:

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a = - 27

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