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nadezda [96]
3 years ago
11

Find the equation of this line. Simplify the fractions (Picture)

Mathematics
1 answer:
denis23 [38]3 years ago
3 0
3/4x + 1/4 = y
Slope = 3/4
Y intercept = 1/4
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What are the roots of the polynomial equation x3-7x=6x-12?
Ilia_Sergeevich [38]
This is not a polynomial equation unless one of those is squared.  As it stands x=-.833.  If you can tell me which is squared I can help solve the polynomial.

Ok, that is usually notated as x^3 to be clear.   I'll solve it now.

x^3-13x-12=0

Then use factor theorum to solve x^3-13x-12/x+1 =0
So you get one solution of x+1=0
x=-1

Then you have x^2-x-12 now you complete the square.

Take half of the x-term coefficient and square it. Add this value to both sides. In this example we have:

The x-term coefficient = −1

The half of the x-term coefficient = −1/2

After squaring we have (−1/2)2=1/4

When we add 1/4 to both sides we have:

x2−x+1/4=12+1/4

STEP 3: Simplify right side

x2−x+1/4=49/4

STEP 4: Write the perfect square on the left.

<span>(x−1/2)2=<span>49/4
</span></span>

STEP 5: Take the square root of both sides.

x−1/2=±√49/4

STEP 6: Solve for x.

<span>x=1/2±</span>√49/4

that is,

<span>x1=−3</span>

<span>x2=4</span>

<span>and the one from before </span>

<span>x=-1</span>

7 0
3 years ago
Read 2 more answers
The polynomial 2x^3 + 9x^2 + 4x - 15 represents the volume in cubic feet of a rectangular holding tank at a fish hatchery. The d
alina1380 [7]
For part A: you will get 3 linear factors (as the degree of the polynomial is 3). perform the division using (x-1) as your known factor and you will get (x-1)(2x²+11x+15). you can then factor the (2x²+11x+15) to get 2x^3 + 9x^2 + 4x - 15 = (x-1)(2x+5)(x+3) 
for part B: since 2x+5 will provide the greatest value (assuming x>0) of the 3 factors, then 2x+5=13. solve to get x=4. if x is 4, then the dimensions are 3'x13'x7' [just sub 4 into the x's for each factor] 
for part C: as to the graphing calculator, I don't have one. However, if you solve each linear factor for when it is 0, those values will be the x-intercepts. So your graph should cross the x-asix at 1, -5/2, and -3 
4 0
3 years ago
Please Answer All Of These Questions, It's About Finding The Volume, I think.
Marat540 [252]
1) 504cm
2) 216mm
3) 666ft
4) 301.44mm
7 0
3 years ago
The altitude to the hypotenuse of a right triangle divides the hypotenuse into segments of lengths 64 and 4. What is the length
Brilliant_brown [7]
Here, Ratio of corresponding length would be equal.
Let, Altitude = x
Then, 64 / x = x / 4
x² = 256
x = √256
x = 16

In short, Your Answer would be 16 units

Hope this helps!
8 0
3 years ago
Two neon lights are turned one at the same time. One blinks every 4 seconds and the other blinks every 6 seconds. In 60 seconds,
morpeh [17]
Two neon lights turned on at same time.

one blinks                  other blinks
every 4 seconds        every 6 seconds.

ob   ob
4   :  6
60.

60 / 4 = 15
60 / 6 = 10.

15+ 10 = 25 times.

3 0
3 years ago
Read 2 more answers
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