3 years ago

What does x equal in the equation 2x + y - 3z equals -12

Mathematics

1 answer:

lidiya [134]3 years ago

8 0

2x+y-3z=12

2x=4z-y

x=2z-y/2

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Given the polynomial 2x3 + 18x2 − 18x − 162, what is the value of the coefficient 'k' in the factored form?2x3 + 18x2 − 18x − 16

s344n2d4d5 [400]

Answer:

$k=3$

Step-by-step explanation:

Let

$f(x)=2x^3+18x^2-18x-162$

We factor 2 to obtain;

$f(x)=2(x^3+9x^2-9x-81)$

We factor the polynomial within the parenthesis by grouping.

$f(x)=2(x^2(x+9)-9(x+9)$

$f(x)=2(x^2-9)(x+9)$

$f(x)=2(x^2-3^2)(x+9)$

We apply difference of two squares on the second factor: $x^2-3^2=(x-3)(x+3)$

$f(x)=2(x+3)(x-3)(x+9)$

We now compare to;

$f(x)=2(x+k)(x-k)(x+9)$

It is now obvious that $k=3$

6 0

3 years ago

Consider this equation: –2x – 4 + 5x = 8 Generate a plan to solve for the variable. Describe the steps that will be used.

horrorfan [7]

We are given the function <span>–2x – 4 + 5x = 8 and is asked in the problem to solve for the variable x in the function. In this case, we can first group the like terms and put them in their corresponding sides:

-2x + 5x =8+4
Then, do the necessary operations.

3x = 12
x = 4.
The variable x has a value of 4.</span>

6 0

3 years ago

Read 2 more answers

Which and which and plz help

Stella [2.4K]

The 4th one, since both values have less than .5 after the decimal

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3 years ago

What is AB? in the right triangle shown, AC = BC = 2

saul85 [17]

Answer:

2.83