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Andru [333]
2 years ago
10

Please jelppp there’s also a option that says none of the above

Mathematics
1 answer:
asambeis [7]2 years ago
8 0
They are vertical angles
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Given f(x)=x^3+2x+k.<br> and x+1 is a factor of f(x), then what is the value of k?
Ludmilka [50]

Answer:

k = 3.

Step-by-step explanation:

By the Factor Theorem. if x+a is a factor of f(x)  then f(-a) = 0.

Here we use f(-1):

f(-1) = (-1)^3 + 2(-1) + k = 0

-1 - 2 + k = 0

k = 3.

4 0
3 years ago
What does this equal​
BlackZzzverrR [31]
A) The first one equals to 5

Step by step:
Change all denominators to 28, what you do to the bottom you do to the top.

After adding simplify.
8 0
2 years ago
2) Lucy spent $15, 500 to purchase a new car this year. Lucy can expect her car to depreciate at a rate of 7% per year.
Lelechka [254]

Answer:

<u>Equation: V = C * (1 - r)^t</u>

<u>Answer: $ 8,066.37</u>

Step-by-step explanation:

Let's recall that depreciation on a car can be determined by the formula:

V = C * (1 - r)^t , where:

V is the value of the car after t years,

C is the original cost

r is the rate of depreciation

t is the number of years of utilization of the car

Therefore, we have:

V = C * (1-r)^t

V = 15,500 * (1 - 0.07)⁹

V = 8,066.37 (rounding to the next cent)

5 0
3 years ago
A bacteria colony increases in size at a rate of 4.0581e1.6t bacteria per hour. If the initial population is 36 bacteria, find t
Harrizon [31]

Answer:

1560

Step-by-step explanation:

The rate of Increase of the population (P) of the bacteria is given as:

\frac{dP}{dt} =4.058e^{1.6t}

dP =4.058e^{1.6t}}dt\\Taking\: Integrals\\\int dP =4.058 \int e^{1.6t}dt\\P(t)=\frac{4.058}{1.6} (e^{1.6t} +K)\\P(t)=2.53625 (e^{1.6t} +K)

Where k is a constant of Integration.

At t=0, P(t)=36

36=2.53625 (e^{1.6*0} +K)\\36=2.53625 (e^{0} +K)\\36=2.53625 (1 +K)\\36=2.53625 +2.53625K\\K=13.19

Therefore:

P(t)=2.53625 (e^{1.6t} +13.19)\\At \: t=4\\P(4)=2.53625 (e^{1.6*4} +13.19)\\=1559.88\\P(4)=1560

3 0
3 years ago
WILL GIVE BRAINLIEST!!!! Write the following as an EXPRESSION: How much water do I need to add to l liters of pure alcohol to ob
nydimaria [60]

Answer:

If you add 690 ml of water you will obtain 1.690 liter of 70% alcohol. Of course if you halve the amounts, e.g. 0.5 liter 75% alcohol and 345 ml of water, you will also obtain 45% alcohol solution.

5 0
3 years ago
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