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3 years ago

Solve for x step by step. 9/2(8-x)+36=102-5/2(3x+24)

Mathematics

1 answer:

kvasek [131]3 years ago

6 0

To solve this problem you must apply the proccedure shown below:

1. Apply the Distributive property:

$\frac{9}{2}(8-x)+36=102-\frac{5}{2}(3x+24)\\\frac{72}{2}-\frac{9}{2}x+36=102-\frac{15}{2}x-\frac{120}{2}$

2. Now, you must simplify:

$36-\frac{9}{2}x+36=102-\frac{15}{2}x-60$

3. Add the like terms:

$-\frac{9}{2}x+\frac{15}{2}x=102-60-36-36\\\frac{6}{2}x=-30$

4. Simplify:

$3x=-30$

5. Solve for x. Divide -30 by 3:

$x=\frac{-30}{3}\\x=-10$

The answer is: $x=-10$

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4 years ago

on a recent day, 8 dogs were worth $9 and 24 dogs worth $27. write a chart for the proportion and write an equation the for form

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4 years ago

Write an equation for the cubic polynomial functior

d1i1m1o1n [39]

So, the cubic polynomial function is $x^3-10x^2+31x-30=0$

No, none of the roots have multiplicity.

Step-by-step explanation:

We need to write an equation for the cubic polynomial function

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Zeros mean:

x=2, x=3 and x=5

x-2=0, x-3=0 and x-5=0

Multiplying all the factors:

$(x-2)(x-3)(x-5)=0\\(x-2)(x(x-5)-3(x-5))=0\\(x-2)(x^2-5x-3x+15)=0\\(x-2)(x^2-8x+15)=0\\x(x^2-8x+15)-2(x^2-8x+15)=0\\x^3-8x^2+15x-2x^2+16x-30=0\\x^3-8x^2-2x^2+15x+16x-30=0\\x^3-10x^2+31x-30=0\\$

So, the cubic polynomial function is $x^3-10x^2+31x-30=0$

No, none of the roots have multiplicity, A root has multiplicity if it appears more than 1 time. Like if (x-1)^2 is a root then 1 has multiplicity 2

Keywords: Polynomial Function

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3 years ago

PLZ HELP 50B please Please Please

Marysya12 [62]

Answer:

$40

$32

Step-by-step explanation:

It says that both your friend's monthly allowance and your monthly allowance together is $72. To find out how much one box is worth, we need to divide $72 by 9 because there are 9 boxes. 72 ÷ 9 = 8.

We know that each box is equal to $8.00, so to find out how much your monthly allowance is, we multiply 8 by 5 because you have five squares. 8 x 5 = 40.

To find out how much money your friend's monthly allowance is, we multiply 8 by 4 because your friend has four squares. 8 x 4 = 32.

We can check our work by adding 40 and 32 together. 40 + 32 = 72. Which means that it is correct. :)

I hope that this helps!

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3 years ago

All four arms of a mechanical jack are the same length, and they form a parallelogram. Turning the crank pulls the arms togeth

Darya [45]

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3 years ago

Read 2 more answers