All categories

3 years ago

PLEASE help on math! One questioin

Mathematics

1 answer:

Yuki888 [10]3 years ago

6 0

Using the polynomial remainder theorem you divide the polynomial by a linear polynomial given as x-r, where r is the value of f(x)

You are given the value of f(x) as 4.

So now you have:

x^4 -2x^3+5x^2 -20x-4 / x-4

Divide

= x^3 +2x^2 +13x +32 +124/x-4

The remainder is the number above the x-4, which is 124.

f(4) = 124

You might be interested in

Evaluate A^2-B^2 for A=3 and B=-4.

MAXImum [283]

Answer:

Step-by-step explanation:

3^2 = 9

(-4)^2 = 16

16-9= 7

4 0

2 years ago

If the population of a particular country is growing at 3.2 % compounded continuously, how long will it take the population to

Lisa [10]

Answer:

It will take 34.33

Step-by-step explanation:

* Lets talk about the compound continuous growing

- Compound continuous growing can be calculated using the formula:

$A=Pe^{rt}$

# A = the future value

# P = the initial amount

# r = the growing rate in decimal

# t = the time

* Lets solve the problem

- The population of a particular country is growing at 3.2 %

compounded continuously

∴ r = 3.2/100 = 0.032

- We need to find how long will it take the population to triple

∵ The initial population is P

∴ A = 3P

∵ $A=Pe^{rt}$

∴ $3P=Pe^{0.032t}$

- Divide both sides by P

∴ $3=e^{0.032t}$

- Insert ㏑ for both sides

∴ $ln(3)=ln(e^{0.032t})$

- Remember $ln(e^{n})=n$

∴ ㏑(3) = 0.032t

- Divide both sides by 0.032

∴ t = ㏑(3)/0.032 = 34.33

* It will take 34.33

8 0

2 years ago

Which steps will translate f(x) = 3* to g(x) = 3x + 1 + 4?

Makovka662 [10]

Answer:

the first one of your answers

Step-by-step explanation:

4 by the power of 1 x 3

8 0

2 years ago

Assume that the heights of boys in a high school basketball tournament are normally distributed, with mean 70 inches and standar

Annette [7]

Answer: 20

Step-by-step explanation:

We assume that the heights of boys in a high school basketball tournament are normally distributed.

Given : Mean height of boys : $\mu=70$ inches.

Standard deviation: $\sigma=2.5$ inches.

Let x denotes the heights of boys in a high school basketball tournament .

Then the probability that a boy is taller than 70 inches will be :-

$P(x> 70)=1-P(x\leq70)\\\\=1-P(\dfrac{x-\mu}{\sigma}\leq\dfrac{70-70}{2.5})\\\\=1-P(z\leq0)=1-0.5=0.5\ \ \text{[by using z-value table]}$

Now, the expected number of boys in a group of 40 who are taller than 70 inches will be :-

$40\times0.5=20$

Hence, the expected number of boys in a group of 40 who are taller than 70 inches=20

6 0

2 years ago

Create an equation that can be used to find the distance between two numbers on a number line.

Monica [59]

I think 0 and 1 because it can be right in the number line

6 0

3 years ago