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KATRIN_1 [288]
3 years ago
9

4y³-2(2y-3)+y written in standard form​

Mathematics
1 answer:
Lady_Fox [76]3 years ago
5 0

Mutiply the bracket by -2

(-2)(2y)=-4y

(-2)(-3)= 6

4y^3-4y+6+y

4y^3-4y+y+6 ( combine like terms)

4y^ 3-3y+6

Answer: 4y^ 3-3y+6

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Step-by-step explanation:

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3 years ago
Which system of equations has the solution (4,−2)?
Marat540 [252]

Answer:

A)

Step-by-step explanation:

To find the answer we must solve each of the systems separately. Starting with the first one:

x + y = 2

2x - y = 10

We must find what x or y is equal to and then replace it in the second equation. I'll go with y as it seems easier:

x + y = 2

y = 2 - x

Now that we found y we replace it in the second equation this way. Be careful with the signs, the minus with change our signs:

2x - (2 - x) = 10

2x - 2 + x = 10

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x = 12/3

x = 4

Now that we have x, we replace the variable with its value in one of the equations. Again, for simplicity I'll go with the one that seems easier.

4 + y = 2

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7 0
2 years ago
A circle has a central angle measuring 3pi/4 radians that intersects an arc of length 45 in. What is the length of the radius of
Klio2033 [76]

Answer: The radius of the circle is 19.1 inches.

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l = x\cdot r

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The above is in inches.


5 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B4%7D%7B5%20%7D%20%20%3D%20%20%5Cfrac%7Bx%20%2B%202%7D%7B2%7D%20" id="TexFormula1"
meriva

\dfrac{x+2}{2}=\dfrac{4}{5}\ \ \ \ \ |\text{cross multiply}\\\\5(x+2)=(4)(2)\ \ \ \ \ |\text{use distributive property}\\\\(5)(x)+(5)(2)=8\\\\5x+10=8\ \ \ \ |\text{subtract 10 from both sides}\\\\5x=-2\ \ \ \ \ |\text{divide both sides by 5}\\\\\boxed{x=-\dfrac{2}{5}}

6 0
3 years ago
You invest $2,000 in an investment that pays an annual interest rate of 7.5% with monthly compounding. How many months will it t
Eddi Din [679]

Answer:

10 years

step-by-step explanation:

First, divide 7.5 by 100, you should get 0.075, then multiply 0.075 by 2000, you should get 150, thats  how much interest he gains each year, now subtract 2000 from 3500 to see how much he needs to get to 3500, you should get 1500, now divide 1500 by 150, you should get 10, which is how many years he will need to get to 3500 from 2000  

8 0
3 years ago
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