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Alenkinab [10]
3 years ago
15

What is the slope-intercept equation for the line below?

Mathematics
1 answer:
Juli2301 [7.4K]3 years ago
8 0

Answer:

y = 5/4x - 4

Step-by-step explanation:

First, find the slope by doing change in y/change in x

You have the points (4, 1) and (0, -4), so the slope would be:

-4 - 1 / 0 - 4 = -5 / -4 = 5/4

Then, find the y-intercept

It gives you that the y-intercept is (0, -4).

Now put the equation in the form y = mx + b where m is the slope and b is the y-intercept.

You have that m = 5/4 and b = -4, so it would be y = 5/4x - 4.

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Divide g(x) = x^4 - 2x^3 + X + 3 by x+3
SVEN [57.7K]

Let's first get the coefficients of the numerator: x^4 - 2x^3 + x + 3 = 1, -2, 0, 1, 3

<em>There is no x^2 in the expression, thus, the coefficient for x^2 = 0</em>

Zero of the denominator: x + 3; x = -3

Using synthetic division,

-3 I 1 -2 0 1 3

I_________________

-3 I 1 -2 0 1 3

I_________________

1

-3 I 1 -2 0 1 3

I_____-3___________

1 -5

-3 I 1 -2 0 1 3

I_____-3__15_______

1 -5 15

-3 I 1 -2 0 1 3

I_____-3__15_-45____

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-3 I 1 -2 0 1 3

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1 -5 15 -44

-3 I 1 -2 0 1 3

I_____-3__15_-45_132__

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The remainder is 135. Which transforms it into 135/x+3.

Thus, the quotient of x^4 - 2x^3 + x + 3 divided by x + 3 ​is:

x-5x^2+15x\text{ - 44 + }\frac{135}{x+3}

8 0
1 year ago
A scientist adds drops of liquid to a test tube. The test tube has marks every ml.
Anastasy [175]

Answer:

A scientist adds drops of liquid to a test tube. The test tube has marks every ml.

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liquid be after the sixth drop is added?

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b.2/5 and 3/5, between 0.4 and 0.6 ml's

c.3/5 and 4/5, between 0.6 and 0.8 mL's

d. 4/5 and 5/5, between 0.8 and 1 ml

4 0
3 years ago
8748=75x^2/5^2<br> what is x<br> no explaining needed
NARA [144]
Variable 

i did not know bout dis edit ting
8 0
3 years ago
Lula is buying meatballs for her beach theme party each package contains six beach balls generate the set of ordered pairs for t
andreev551 [17]

Answer:

  {(1, 6), (2, 12), (3, 18), (4, 24)}

Step-by-step explanation:

We are given that ...

  (packages, balls) = (1, 6)

Multiplying by 2, 3, and 4, we find the set of ordered pairs to be ...

  {(1, 6), (2, 12), (3, 18), (4, 24)}

8 0
3 years ago
There is a population of 139 bacteria in a colony. If the number of bacteria doubles every 189
Levart [38]

Answer:

556

Step-by-step explanation:

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4 0
2 years ago
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