Answer:
(2 x + 3) (2 x + 9)
Step-by-step explanation:
Factor the following:
4 x^2 + 24 x + 27
Factor the quadratic 4 x^2 + 24 x + 27. The coefficient of x^2 is 4 and the constant term is 27. The product of 4 and 27 is 108. The factors of 108 which sum to 24 are 6 and 18. So 4 x^2 + 24 x + 27 = 4 x^2 + 18 x + 6 x + 27 = 9 (2 x + 3) + 2 x (2 x + 3):
9 (2 x + 3) + 2 x (2 x + 3)
Factor 2 x + 3 from 9 (2 x + 3) + 2 x (2 x + 3):
Answer: (2 x + 3) (2 x + 9)
Question 7
(37,065 - 26, 102)/(37, 065) = P/100
(10, 963)/(37, 065) = P/100
37, 065P = (10, 963)(100)
37,065P = 109, 630
P = 109, 630 ÷ 37, 065
P = 2.9577768785
P = 295.78%
Do likewise for the rest of the questions.
To change from decimal to percent, move the decimal point two places to the right and then add the percent symbol (%).
You divide 37 and 100 which gives you .37
Answer:
We get x=3 and y=21
The ordered pair will be: (3,21)
Step-by-step explanation:
We need to use the substitution method to solve the system of equations.

For substitution method we substitute the value of x or y from one equation to other.
Let:

Putting value of y from equation 2 into equation 1

So, we get value of x=3
Now, for finding value of y, We substitute the value of x
Find value of x from equation 2

Now, putting value of x in equation 1

So, we get value of y=21
So, We get x=3 and y=21
The ordered pair will be: (3,21)
Answer:
the P value is 45.22%
Step-by-step explanation:
The computation of the P value is as follows;
Given that
standard deviation = 14.9
mean = 675
Reduction in diameter= 673.2
Based on the above information,
We have to applied the following formula i.e.

Now the P value for -0.1208 is 0.4522 i.e. 45.22%
Hence, the P value is 45.22%
The same is to be considered