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Bess [88]
3 years ago
8

If (x-2) is a factor of x^3+kx^2 +12x-8 then k=?

Mathematics
1 answer:
AURORKA [14]3 years ago
5 0

Answer:

k = - 6

Step-by-step explanation:

Since (x - 2) is a factor then x = 2 is a root

Substitute x = 2 into the polynomial and equate to zero, that is

2³ + k(2)² + 12(2) - 8 = 0

8 + 4k + 24 - 8 = 0

4k + 24 = 0 ( subtract 24 from both sides )

4k = - 24 ( divide both sides by 4 )

k = - 6

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A man ran 20 miles in 2 hours. Calculate the average time that it took the man to run each mile in minutes.
konstantin123 [22]

Answer:

he ran 3 miles in 8 mins

Step-by-step explanation:

3 0
2 years ago
The half-life of caffeine in a healthy adult is 4.8 hours. Jeremiah drinks 18 ounces of caffeinated
statuscvo [17]

We want to see how long will take a healthy adult to reduce the caffeine in his body to a 60%. We will find that the answer is 3.55 hours.

We know that the half-life of caffeine is 4.8 hours, this means that for a given initial quantity of coffee A, after 4.8 hours that quantity reduces to A/2.

So we can define the proportion of coffee that Jeremiah has in his body as:

P(t) = 1*e^{k*t}

Such that:

P(4.8 h) = 0.5 = 1*e^{k*4.8}

Then, if we apply the natural logarithm we get:

Ln(0.5) = Ln(e^{k*4.8})

Ln(0.5) = k*4.8

Ln(0.5)/4.8 = k = -0.144

Then the equation is:

P(t) = 1*e^{-0.144*t}

Now we want to find the time such that the caffeine in his body is the 60% of what he drank that morning, then we must solve:

P(t) = 0.6 =  1*e^{-0.144*t}

Again, we use the natural logarithm:

Ln(0.6) = Ln(e^{-0.144*t})

Ln(0.6) = -0.144*t

Ln(0.6)/-0.144 = t = 3.55

So after 3.55 hours only the 60% of the coffee that he drank that morning will still be in his body.

If you want to learn more, you can read:

brainly.com/question/19599469

7 0
2 years ago
What is the value of x, when -2(2+3(x+5))=-64?​
Amiraneli [1.4K]

Answer:

x = 5

I hope this helps!

8 0
3 years ago
Bethany s making trail mix with 3 cups of raisins for every 2 cups of peanuts
DaniilM [7]

Answer:

4 cups of raisins

3 cups of dates

6 cups of peanuts

and 2 cups of cashews

ratio cashews to raisins= 2:4

                                      = 1:2

ratio dates to peanuts= 3:6

                                   = 1:2

5 0
3 years ago
F (n)=3+4 (n-1). find f(5) and f(6)
Rasek [7]
3+16=19,

3+20=23

So the correct answer would be 19 and 23
5 0
3 years ago
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