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Bogdan [553]
2 years ago
15

Can someone help me with this please?

Mathematics
1 answer:
Vladimir [108]2 years ago
6 0

Answer:

-4 and -2

Step-by-step explanation:

f(x) = 1 means y = 1

When y = 1, x could be either -4 or -2 so the values of x when y = 1 are -4 and -2

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Need help with my homework ​
Volgvan

Answer:

\displaystyle y=\frac{16-9x^3}{2x^3 - 3}

\displaystyle y=-\frac{56}{13}

Step-by-step explanation:

<u>Equation Solving</u>

We are given the equation:

\displaystyle x=\sqrt[3]{\frac{3y+16}{2y+9}}

i)

To make y as a subject, we need to isolate y, that is, leaving it alone in the left side of the equation, and an expression with no y's to the right side.

We have to make it in steps like follows.

Cube both sides:

\displaystyle x^3=\left(\sqrt[3]{\frac{3y+16}{2y+9}}\right)^3

Simplify the radical with the cube:

\displaystyle x^3=\frac{3y+16}{2y+9}

Multiply by 2y+9

\displaystyle x^3(2y+9)=\frac{3y+16}{2y+9}(2y+9)

Simplify:

\displaystyle x^3(2y+9)=3y+16

Operate the parentheses:

\displaystyle x^3(2y)+x^3(9)=3y+16

\displaystyle 2x^3y+9x^3=3y+16

Subtract 3y and 9x^3:

\displaystyle 2x^3y - 3y=16-9x^3

Factor y out of the left side:

\displaystyle y(2x^3 - 3)=16-9x^3

Divide by 2x^3 - 3:

\mathbf{\displaystyle y=\frac{16-9x^3}{2x^3 - 3}}

ii) To find y when x=2, substitute:

\displaystyle y=\frac{16-9\cdot 2^3}{2\cdot 2^3 - 3}

\displaystyle y=\frac{16-9\cdot 8}{2\cdot 8 - 3}

\displaystyle y=\frac{16-72}{16- 3}

\displaystyle y=\frac{-56}{13}

\mathbf{\displaystyle y=-\frac{56}{13}}

8 0
2 years ago
I need to know the mean
zepelin [54]
You need to add all of them up then devied by how many there are
5 0
3 years ago
Read 2 more answers
What is 0.02777777777 as a fraction
pochemuha

Answer:

1/36

Step-by-step explanation:

8 0
3 years ago
Pipe A can fill a tank in 40 minutes, while pipe B takes 60 minutes to fill the same tank.
ella [17]

Answer:

24 minutes.

Step-by-step explanation:

This question shows up in a great many places in math or physics, so it is a pretty good question to learn how to do.

First you should note that answer will be under 40 minutes.

1/40 + 1/60 = 1/TimeTotal

The common denominator on the left is 120 minutes

3/40*3 + 2/60*2 = 1/timetotal

3/120 + 2/120      = 1/ timetotal

5/120 = 1/time total  Now to use to the key stop

What you do now is you always turn the left side over. You do the same thing to total time.

120/5 = total time

24 = total time

What this means is that if you let both pipes run for 24 minutes, they will fill the tank working together.

4 0
2 years ago
This morning, Yolanda's car had 29.44 gallons of fuel. Now, 4.6 gallons are left. How much fuel did Yolanda use?
Anuta_ua [19.1K]
The answer is 24.84 because 29.44-4.6 is 24.84
to double check you can add (after you subtract and get your answer) 24.84 and 4.6 and get 29.44
8 0
3 years ago
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