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2 years ago

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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What are the three steps you should use when using algebra to solve word problems?

KonstantinChe [14]

Answer: understand , strategize and implement

Hoped it helped , if it didn’t I apologize
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3 years ago

What is the awnser to that question

nataly862011 [7]

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3 years ago

Today joelle walked at a rate of 3 miles per hour and she ran 15 minutes at a rate of 6 miles per hour.How many total miles did

svetoff [14.1K]

I added a screenshot with the complete question

Answer:
Total miles = 2.5 miles

Explanation:
1- While walking:
We are given that Joelle walked 20 minutes at a rate of 3 miles per hour.
This means that she walked $\frac{20}{60} = \frac{1}{3}$ of an hour at a rate of 3 miles per hour
The formula that relates distance, time and velocity is:
Distance = velocity * time
Substitute with the givens to get the distance she covered while walking:
Distance = 3 * $\frac{1}{3}$ = 1 mile

2- While running:
We are given that Joelle ran 15 minutes at a rate of 6 miles per hour
This means that she ran $\frac{15}{60} = \frac{1}{4}$ of an hour at a rate of 6 miles per hour
The formula that relates distance, time and velocity is:
Distance = velocity * time
Substitute with the givens to get the distance she covered while running:
Distance = 6 * $\frac{1}{4}$ = 1.5 miles

3- getting the total mileage:
Total distance she covered = distance while walking + distance while running
Total distance she covered = 1 + 1.5
Total distance she covered = 2.5 miles

Hope this helps :)

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3 years ago

What are the three differences between an inconsistent system and a consistent and independent system. Explan?

RUDIKE [14]

Hey there Mejia021274,
1) Independent systems have exactly one solution:
x + y = 1
x - y = 3
x = 2, y = -1

2) Inconsistent systems have no solutions :
5x + y = 6
5x + y = 10
There is no solution as 5x + y cannot be equal to 6 and 10

3) Consistent systems have a lot of solutions:
x+y = 5
2x+2y = 10 
A few solutions to this system are (1,4), (2,3), (3,2), (4,1), (5,0), and so on.

Hope this helps :))

~Top

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3 years ago

Which expression demonstrates the distributive property applied to the expression 4(3 + 7)

GREYUIT [131]

4(3 + 7)

= 4(3) + 4(7) //Demonstrating distributive property

= 12 + 28

= 40

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3 years ago