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3 years ago

We want to factor the following expression:

Mathematics

1 answer:

S_A_V [24]3 years ago

4 0

Answer:

A. (U+V)^2 or (U-V)^2

Step-by-step explanation:

$9x^6 + 6x^3y + y^2 \\ \\ = {(3 {x}^{3} )}^{2} + 2.(3x^3).y +( y)^2 \\ \\ = \bigg({3 {x}^{3} } + y \bigg)^{2} \\ \\ = \bigg({3 {x}^{3} } + y \bigg) \bigg({3 {x}^{3} } + y \bigg) \\ \\ \\ \\$

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Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

andriy [413]

Answer:

The point that maximizes the objective function is (3,0)

Step-by-step explanation:

we have

Constraints:

$x\geq 0\\y\geq 0\\-x + 3\geq y\\y\leq \frac{1}{3}x+1$

Using a graphing tool

The feasible region is the shaded area

see the attached figure

The vertices of the feasible region are

(0,0),(0,1),(1.5,1.5) and (3,0)

we know that

To find the point in the feasible region that maximizes the objective function, replace each ordered pair of vertices in the objective function and then compare the results.

The objective function is

$C=5x-4y$

For (0,0) -----> $C=5(0)-4(0)=0$

For (0,1) -----> $C=5(0)-4(1)=-4$

For (1.5,1.5) -----> $C=5(1.5)-4(1.5)=1.5$

For (3,0) -----> $C=5(3)-4(0)=15$

therefore

The point that maximizes the objective function is (3,0)

8 0

3 years ago

Stephanie receives a salary of 650 per month plus a commission of 5.5%on the first 3000 of sales and 7% of all sales over 3000 w

Fynjy0 [20]

9290 x 7% = 650.30
650.30 + 650= 1300.30

5 0

3 years ago

If f(1) = 160 and f(n + 1) = –2f(n), what is f(4)?

sashaice [31]

Hello,

f(1)=160
f(2)=160*(-2)
f(3)=160*(-2)²
f(4)=160*(-2)^3=-1280

f(n)=160*(-2)^(n-1)

8 0

3 years ago

Read 2 more answers

I need help with all of them

patriot [66]

XD
.
Textbooks... Workbooks.
.
I was once homeschooled, ya know.
.
Let me walk you through the problems.
.
First of all...
.
we know the area of the garden. In order to find how many cups of fertilizer we need, we need to find THE AREA. Then, it's just a matter-of-fact of just multiplying the area by 1/8.
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2. Information not needed? OF COURSE!! The money. Why we need money in this problem?! We find NUMBER OF CUPS, not MONEY NEEDED.
.
3. I need to determine how much cups of fertilizer I need. The answer? Oh, find the area. IT's 9 1/3 multiplied by 12, by the way. Then multiply the area by 1/8. BOOM!!
.
Need any more help, ask away!!

3 0

3 years ago

Need help understanding this problem.

harina [27]

Basically it’s r=c/2pi meaning it’d be r=62/2(3.14) which would give you r=9.87

5 0

3 years ago