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azamat
3 years ago
13

Find the perimeter of a rectangle with length 7x - 2 and width 5x^2 + 1.

Mathematics
1 answer:
stealth61 [152]3 years ago
4 0

Answer:

10x^2 + 14x - 2

Step-by-step explanation:

So for the perimeter, you have to solve 2(7x-2) + 2(5x^2+1)

So distribute the 2s on both s we get 14x - 4 + 10x^2 + 2

This in standard form is 10x^2 + 14x - 2

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The specifications for a new cardboard container require that the width for the container be 4 inches less than the length and t
Levart [38]

Answer:

c) Length = 12, width = 8 and height = 23.

Step-by-step explanation:

Let the length be x, then the width = x - 4 and the height = 2x - 1.

a) The polynomial is x(x - 4)(2x - 1)

b) x(x - 4)(2x - 1) = 2208

c) x(x - 4)(2x - 1) - 2280 = 0

2x^3 - 9x^2 + 4x - 2280 = 0

I'll use graphical software to find a solution for this. Its easily obtained online.

There is one real root and its x = 12.

So the dimensions of the box are L = 12, W = 8 and H = 23 inches.

6 0
3 years ago
Read 2 more answers
Margie has 5 times as many nickels as quarters. She has a total of $2.00.
stich3 [128]

Answer:

<u>Part A: </u>

<u>n = 5q (1st equation)</u>

<u>0.05n + 0.25q = 2 (2nd equation)</u>

<u>Part B:</u>

<u>q = 4 ⇒ n = 5 * 4 = 20</u>

<u>Part C:</u>

<u>Margie has 20 nickels and 4 quarters, for a total of $ 2.00</u>

Step-by-step explanation:

Let's recall that a nickel has a value of $ 0.05 and a quarter a value of $ 0.25.

Let n represent the number of nickels and q represent the number of quarters.

Part A:

Write a system of equations to represent the situation.

n = 5q (1st equation)

n * 0.05 + q * 0.25 = 2

0.05n + 0.25q = 2 (2nd equation)

Part B:

Replacing n in the 2nd equation to solve for q:

0.05n + 0.25q = 2

0.05 * 5q + 0.25q = 2

0.25q + 0.25q = 2

0.5q = 2

q = 2/0.5

<u>q = 4 ⇒ n = 5 * 4 = 20</u>

<u>Part C:</u>

<u>Margie has 20 nickels and 4 quarters, for a total of $ 2.00</u>

3 0
3 years ago
How to find the rate of change of the inputs
iogann1982 [59]

Answer:

To find the average rate of change, we divide the change in the output value by the change in the input value.

4 0
3 years ago
I need help plzzzzz help me it s my homework
Genrish500 [490]

Answer:

fddjjfhfufifjffjjfrzurhdudifudjdddjddh

4 0
3 years ago
Read 2 more answers
Lincoln Middle School has a total of $200 to spend on notebooks and tablets for the school board meeting. Notebooks cost $7 each
kicyunya [14]

Answer:

The answer is the option C

The graph in the attached figure

Step-by-step explanation:

Let

x------> the number of notebooks

y-----> the number of tablets

we know that

The inequality that represent the situation is equal to

7x+5y\leq 200  

Using a graphing tool

see the attached figure

The solution is the triangular shaded area


7 0
3 years ago
Read 2 more answers
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