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Nezavi [6.7K]
3 years ago
5

Activity : Find the factors of the following polynomials.

Mathematics
1 answer:
Pavlova-9 [17]3 years ago
8 0

Step-by-step explanation:

1) x^2-5x+x-5

=x(x-5)+1 (x-5)

=(x+1)(x-5)

3) a^2-25

= a^2-(5)^2

= (a+5)(a-5)

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A parcel delivery service will deliver a package only if the length plus girth​ (distance around) does not exceed 84 inches. ​(A
Kisachek [45]

Answer:

A. 14x14x28

B. The maximum volume is 5488 cuibic inches

Step-by-step explanation:

The problem states that the box has square ends, so you can express volume with:

v=x^{2} y

Using the restriction stated in the problem to get another equation you can substitute in the one above:

4x+y=84\\\\

Substituting <em>y</em> whit this equation gives:

v=x^{2} (84-4x)\\\\v=84x^{2} -4x^{3}

Now find the limit of <em>x</em>:

\frac{84x^{2}-4x^{3}}{dx}=168x-12x^{2}\\\\x=\frac{168}{12}=14

Find the length:

y=84-4(14)=28

You can now calculate the maximum volume:

v=(14)^{2}(28)= 5488

6 0
3 years ago
URGENT! find the sum. the answer is not D​
otez555 [7]
<h3>Answer:  C)  -1/2</h3>

=============================================

Explanation:

We'll apply the derivative to get

g(x) = 4x^3 + 3x^2

g ' (x) = 3*4x^2 + 2*3x

g ' (x) = 12x^2 + 6x

Set that equal to 0 and solve for x. We do this to find where the horizontal tangents are located.

g ' (x) = 0

12x^2 + 6x = 0

6x(2x + 1) = 0

6x = 0 or 2x+1 = 0

x = 0 or x = -1/2

Adding those two said solutions yields us the final answer choice C

7 0
2 years ago
I need blank 1 and blank 2
lord [1]

Answer:

Blank 1: 40

Blank 2: 10

Step-by-step explanation:

You can start by representing the speed of the water as x and the speed of the dolphin as y, and writing an equation.

y+x=50

y-x=30

Adding these two equations together, you get:

2y=80

y=40 for the speed of the dolphin in still water. Now, you an use one of the previous equations to find the speed of the current.

40-x=30

x=10

Hope this helps!

8 0
3 years ago
Megan earns $20.00 by walking dogs. She uses all of her earnings to buy a shirt for $12.85 and some stickers for $0.65 each. How
Leya [2.2K]
The answer is B: 11.

To solve it, you need to solve the equation: 20.00=12.85+0.65x
4 0
3 years ago
6x3/5 <br> I NEED HELP PLEASEEEEEEEEEE
nadya68 [22]
3.6 is the answer because you just multiply it together
6 0
3 years ago
Read 2 more answers
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