Answer:
a(x)=2x^2+9x+4
Step-by-step explanation:
We have been given the length and width, as well as the formula to find the area:
Length: 2x + 1
Width: x + 4
A = l * w
A = (2x + 1)(x + 4)
2x^2 + 8x + x + 4
We can add like terms now:
2x^2 + 9x + 4
Our area is 2x^2 + 9x + 4
Our answer would be a(x)=2x^2+9x+4
Answer:
Correct option: B
Step-by-step explanation:
The professor can perform a One-mean <em>t</em>-test to determine whether the average score of the students in his class is more than the average score of all the students attending university.
A <em>t</em>-test will be used instead of the <em>z</em>-test because the population standard deviation is not provided instead it is estimated by the sample standard deviation.
The hypothesis for this test can be defined as follows:
<em>H₀</em>: The average score of the students in his class is not more then the entire university, i.e. <em>μ ≤ 35</em>.
<em>Hₐ</em>: The average score of the students in his class is more then the entire university, i.e. <em>μ > 35</em>.
Given:

The test statistic is:

Thus, the correct option is (B).
Always get rid of denominators first. Multiply both right and left side by 6
-7 (6) = -c (6)/6 + 12(6)
-42 = -c + 72
c = 72 +42
c = 114
rearrange like terms together
42 = 18 - 4x
4x = 18 -42
4x = -24
divide both sides by 4
x = -6
0.12 is the correct answer
Answer:
5 ± 2i√5
from the quadratic equation