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steposvetlana [31]
3 years ago
5

Part A: The area of a square is (9x2 + 24x + 16) square units. Determine the length of each side of the square by factoring the

area expression completely. Show your work. (5 points)
Part B: The area of a rectangle is (16x2 − 25y2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work. (5 points)
Mathematics
1 answer:
ella [17]3 years ago
4 0

Answer:

Step-by-step explanation:

Part A

9x^2 + 24x + 16

= (3x + 4)(3x + 4)

length of each side = 3x + 4 units.

Par B

16x^2 - 25y^2

= (4x + 5y )( 4x - 5y)

length = 4x + 5y and width = 4x - 5y

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Based on historical data, your manager believes that 43% of the company's orders come from first-time customers. A random sample
tatyana61 [14]

Answer:

Following are the solution to the question:

Step-by-step explanation:

p = 0.43\\\\n = 243\\\\\sigma =\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.43 (1 -0.43)}{243}}=0.0013

z-score for \hat{p}=0.2 will be:

z score for will be:

z=\frac{\hat{p}-p}{\sigma}=\frac{0.39 - 0.43}{0.0013}=-30.76

P(0.2 using excel method to calculate the value.

7 0
3 years ago
Please help me on this! will give u brainliest tyy.
Y_Kistochka [10]

Answer:

A. The balloon is at its initial height

B. The boxer is 0 pounds from her starter weight

C. The company's size is smaller

Step-by-step explanation:

For A, -30+30 is equal to 0 so its gonna be the same height it was before.

For B, Gaining 7 pounds and losing 7 pounds means you are neither bitter or smaller. (-7+7=0)

For C, Losing 15 employees and gaining none means that there are less than there were previous meaning the company is now smaller.

Hope this helps.

5 0
3 years ago
What is 37/40 in simplest form
disa [49]

Answer:

It is already explained in simplest form

Step-by-step explanation:

It can be written as 0.925 in decimal form (rounded to 6 decimal places).

7 0
3 years ago
Please help with #21<br><br> The length of QP = <br> The length of PR = <br> The length of QR =
Marat540 [252]
Hello!

The length of QP = 18 feet
The length of PR = 18 feet
The length of QR = 24 feet
8 0
3 years ago
If a =1 + r + 7r and b = 1 -r ,find an expression that equals A+ 3B in standard form. Answer: ​
Trava [24]

Answer:

A+3B=4+5r

Step-by-step explanation:

Given that,

A = 1+r+7r

B = 1-r

We need to find an expression that is equal to A+3B.

Putting the values of A and B in A+3B, we get :

A+3B = 1+r+7r + 3(1-r)

=1+8r+3-3r

=(1+3) +(8r-3r)

=4+5r

Hence, the values of A+3B equals 4+5r.

7 0
3 years ago
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