All categories

2 years ago

FACTOR COMPLETELY: x^2n+10x^n+16

Mathematics

1 answer:

Archy [21]2 years ago

8 0

Step-by-step explanation:

x^2n + 10x^n + 16

= (x^n)(x^n) + 10(x^n) + 16

= (x^n + 2)(x^n + 8).

You might be interested in

Suppose that profit for a particular product is calculated using the linear equation: Profit = 20S + 3D. Which of the following

uranmaximum [27]

Answer:

b. S = 405, D = 0

Step-by-step explanation:

We have been given that profit for a particular product is calculated using the linear equation: $\text{Profit}=20S+3D$ . We are asked to choose the combinations of S and D that would yield a maximum profit.

To solve our given problem, we will substitute given values of S and D in the profit function one by one.

a. S = 0, D = 0

$\text{Profit}=20S+3D$

$\text{Profit}=20(0)+3(0)$

$\text{Profit}=0$

b. S = 405, D = 0

$\text{Profit}=20S+3D$

$\text{Profit}=20(405)+3(0)$

$\text{Profit}=8100+0$

$\text{Profit}=8100$

c. S = 0, D = 299

$\text{Profit}=20S+3D$

$\text{Profit}=20(0)+3(299)$

$\text{Profit}=0+897$

$\text{Profit}=897$

d. S = 182, D = 145

$\text{Profit}=20S+3D$

$\text{Profit}=20(182)+3(145)$

$\text{Profit}=3640+435$

$\text{Profit}=4075$

Since the combination S = 405, D = 0 gives the maximum profit ($8100), therefore, option 'b' is the correct choice.

7 0

3 years ago

Write an equivalent exponential equation for the following three problems.

Naily [24]

Answer with step-by-step explanation:

We are given three different expressions and we are to write an equivalent exponential equation for them.

We know that the standard form of a logarithmic expression is given by:

$y = log_a ( x )$ which is equivalent to the exponential form $x = a ^ y$ .

1. $log _ {10} (0.1) = -1$ ---> $10^{-1}=0.1$

2. $log _ {3} 9 = 2$ ---> $3^2=9$

3. $log _ 5 ( \frac { 1 } { \sqrt { 5 } } ) = -\frac { 1 } { 2 }$ ---> $5^{-\frac{1}{2} }=\frac{1}{\sqrt{5} }$

8 0

2 years ago

4x-8y=9 what is the slope of a line perpendicular to this line

LenaWriter [7]

The slope of this line is 1/2

3 0

2 years ago

Find (gºf)(3) f(x) = 3x - 2 g(x)= x^2 a. 1 b.-8 C. 49 d. 52

Mkey [24]

Answer:

the answer is C

Step-by-step explanation:

(g.f)(3)

g(f(3))=g(7)=49

8 0

3 years ago

I don't know how to solve this problem

Rom4ik [11]

Before you read this!! To me, it looks like 8 is the entire length of lineJL, but it may only be the length of lineJM. I've written the steps for lineJL=8 NOT lineJM=8. If this is not the case and 8 is only the length of lineJM let me know so I can fix my answer!

Step-by-step explanation:

The area of a triangle is A=1/2(b)(h)

B=base

H=height

Your height is found in the line in the middle of the triangle, for you it is 6.

The base is the long bottom line on the triangle (lineJL), for you it is 8.

So let's put it in.

A=1/2(8)(6)

A=24sq units (C)

4 0

2 years ago