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erik [133]
2 years ago
12

If x – 4 is a factor of x2 + 8x + k, what is the value of k?

Mathematics
2 answers:
frutty [35]2 years ago
6 0

Answer:

k ±16

Step-by-step explanation:

Evaluate x^2 + 8 x + k where x = -4:

x^2 + 8 x + k = k - 4 8 + (-4)^2

(-4)^2 = 16:

k - 4 8 + 16

8 (-4) = -32:

k + -32 + 16

Grouping like terms, k - 32 + 16 = k + (16 - 32):

k + (16 - 32)

16 - 32 = -16:

Answer:  k ±16

Ira Lisetskai [31]2 years ago
3 0

Answer:

The answer is

k=−11

Explanation:

Let

f(x)=x^3−6x62+kx+10

If (x+2)is a factor

Then,

f(-2)=0

f(−2)= −8− 24 − 2k + 10= 0

2k=-22

k=−11

Step-by-step explanation:

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3 years ago
3. 0.7kg : 800g<br> I’m pretty bad with ratios lol
julsineya [31]

Answer:

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Step-by-step explanation:

Convert o.7 Kg to Gram

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7 0
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Step-by-step explanation:

5 0
3 years ago
What is the value of x in the equation one-fifthx – two-thirdsy = 30, when y = 15? 4 8 80 200.
worty [1.4K]

On solving the linear system, for the value of y = 15, the value of x is 200. The correct option is D.

<h3>What is the linear system?</h3>

It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.

Given

The linear equation is shown below.

\rm \dfrac{1}{5}x - \dfrac{2}{3}y = 30

The equation can be written as

\rm 3x - 10y = 450\\

For y = 15, the value of x will be.

\begin{aligned} \rm 3x - 10*15 &= 450\\\\\rm 3x - 150 &= 450 \\\\\rm 3x &= 600\\\\\rm x &= 200\\\end{aligned}

The value of x is 200.

Thus, option D is correct.

More about the linear system link is given below.

brainly.com/question/20379472

7 0
2 years ago
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