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3 years ago

If y = 124 and x = 12, find y when x = -24.

Mathematics

1 answer:

tatyana61 [14]3 years ago

7 0

Answer:

y = -248

Step-by-step explanation:

Hi there!

Set up a proportion:

$\displaystyle\frac{124}{12} =\frac{y}{-24}$

Cross-multiply:

$12y=(-24)(124)\\12y=-2976\\y=-248$

I hope this helps!

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Which statements are true about the ordered pair (10, 5) and the system of equations?

Alexeev081 [22]

Answer:

Step-by-step explanation:

We have the system of equations:

$\left\{\begin{array}{ll}2x-5y=-5 \\ x+2y=11\end{array}$

And an ordered pair (10, 5).

In order for an ordered pair to satisfy any system of equations, the ordered pair must satisfy both equations.

So, we can eliminate choices A and B. Satisfying only one of the equations does not satisfy the system of equations.

Let’s test the ordered pair. Substituting the values into the first equation, we acquire:

$2(10)-5(5)\stackrel{?}{=}-5$

Evaluate:

$20-25\stackrel{?}{=}-5$

Evaluate:

$-5\stackrel{\checkmark}{=} -5$

So, our ordered pair satisfies the first equation.

Now, we must test it for the second equation. Substituting gives:

$(10)+2(5)\stackrel{?}{=} 11$

Evaluate:

$20\neq 11$

So, the ordered pair does not satisfy the second equation.

Since it does not satisfy both of the equations, the ordered pair is not a solution to the system because it makes at least one of the equations false.

Therefore, our answer is C.

3 0

3 years ago

What is 3 2/5 multiplied by 2 1/3

Cerrena [4.2K]

7 14/15 Good luck! have a great day

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3 years ago

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What are the quotient and remainder of (x^5-x^3+-5) divided by (x-2)

pishuonlain [190]

Answer:

x⁴+2x³ +3x²+6x +12 r. $\dfrac{19}{x-2}$

Step-by-step explanation:

You can do this through synthetic division. It is a shorthand way of dividing polynomials.

First you need to make your divisor equal to zero so you can solve for what goes into the division box:

x - 2 = 0 → x = 2

The next step is to arrange your polynomials in descending powers. All missing terms, you will put in a zero.

x⁵ - x³ + (-5) → x⁵ + 0x⁴- x³ + 0x² + 0x + (-5)

Now you can proceed to synthetic division. Make an upside down division box with the divisor outside and the coefficients of the dividend listed, along with their sign. Leave a space below the divident

+2 | +1 0 -1 0 0 -5

|

Next you bring down the first coefficient:

+2 | +1 0 -1 0 0 -5

|

Then you multiply it by the divisor and write the product under the next coefficient:

+2 | +1 0 -1 0 0 -5

| +2

Next add the column and put the sum below it:

+2 | +1 0 -1 0 0 -5

| +2

+1 +2

Then multiply again and repeat until you reach the last coefficient:

+2 | +1 0 -1 0 0 -5

| +2 +4 +6 +12 +24

+1 +2 +3 +6 +12 +19

Now that you have your results, add in the x and their powers. The powers will start with the highest power but 1 less than the dividend. Since the dividend's highest power is 5, then the quotient's highest power will be 4. Then write it in descending order :

+1x⁴ +2x³ +3x² +6x +12 +19

Now the last coefficient is your remainder. So your results will be:

x⁴+2x³ +3x²+6x +12 r. $\dfrac{19}{x-2}$

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3 years ago

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What is the graph of the function f(x) = x+2/x-3?

Fed [463]

X2+2-3x=x hope tht helps

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