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Virty [35]
3 years ago
13

Use the x-intercept method to find all real solutions of the equation. -9x^3-72x^2+36=3x^3+x^2-3x+8

Mathematics
1 answer:
larisa86 [58]3 years ago
6 0

-9x^3-72x^2+36=3x^3+x^2-3x+8                     Add 9x^3 to both sides.

-72x^2 + 36 = 3x^3 + 9x^3 + x^2 - 3x + 8       Add 72x^2 to both sides

36 = 12x^3 +   73x^2 - 3x + 8                           Subtract 36 from both sides.

0 = 12x^3 + 73x^2 - 3x - 28      

It does factor, but it is not very nice.

(x + 6.06)(x - 6.09)(x + 0.632)

If there is any kind of error please report it in a note below.

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Write the equation of the line in fully simplified slope-intercept form. y intercept = -2 (GIVE EXPLANATION)
nekit [7.7K]

Answer:

See Below:

Step-by-step explanation:

So, first of all. to find the equation of the line, the equation has to be in y=mx+b form. In this for the following are:

  • m is the slope of the line
  • b  is the y intercept

Solving

So, first of all, to find the equation of the line, we can get two points from the line, you can pick any points you want, but for this case, I will be using (0,-2) and (-2,0).

To solve for the slope, we can use rise over run to find the equation.

\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

Upon inserting our points into the equation, we get a slope of -1.

\frac{0-(-2)}{-2-0}=\frac{2}{-2}=-1

Creating The Equation

To create the equation in y=mx+b form, we need to know what the intercept and the slope are, for which we solved above. We can now put in the things we found to get our final equation.

y=-1x-2

We know the slope has to be -1 as we solved for that, and because the line is decending downwards, we can interpret the slope as down 1 right 1.

We know that b is -2 because the y intercept is -2 and b is equal to the y intercept. Therefore the b cation is -2.

Cheers!

5 0
3 years ago
Find an equation of variation in which y varies directly as x and y=420 when x= 100. Then find the value of y when x=11.
sweet [91]
Let's Simplify X to equal 1 by dividing by 100. then we divide 420 by 100 to get 4.2, so y=4.2 when x=1, we then multiply by each by 11.

y = 46.2
x = 11
4 0
3 years ago
I need help please help me :(
Studentka2010 [4]

Answer:

IM SUCH AN INFLUENCER :D

Step-by-step explanation:

5 0
2 years ago
B=2.35 + 0.25x
Neko [114]

Answer:

D. 3.35

Step-by-step explanation:

First we need to form an equation and solve it to find the number of weeks when the prices were the same. Because the prices were the same we can say that b = c, and therefore form the equation:

2.35 + 0.25x = 1.75 + 0.4x - Now we nee to solve it and find x.

2.35 - 1.75 = 0.4x - 0.25x

0.6 = 0.15x

x = 0.6 ÷ 0.15

x = 4 weeks

So now we substitute x into the equation for beef and find the price.

b = 2.35 + (0.25 × 4)

b = 2.35 + 1

b = $3.35 per pound

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