Answer:
70x³ - 73x² - 155x + 168
Step-by-step explanation:
Given
(5x - 7)(2x + 3)(7x - 8) ← expand the first pair of factors using FOIL
= (10x² + x - 21)(7x - 8)
Each term in the second factor is multiplied by each term in the first factor, that is
10x² (7x - 8) + x(7x - 8) - 21(7x - 8) ← distribute the 3 parenthesis
= 70x³ - 80x² + 7x² - 8x - 147x + 168 ← collect like terms
= 70x³ - 73x² - 155x + 168
Answer:
3.8
Step-by-step explanation:
Hey! Let's start by assuming that these are all normal courses, and that <u>GPA is given by the following scale:</u>
A - 4.0
B - 3.0
C - 2.0
D - 1.0
F - 0.0
That said, this question really just involves calculating the averages.
To find the average, we add all the values together and divide the sum by the total number of values.
<u>Therefore, our expression would look like:</u>
(4.0 + 4.0 + 4.0 + 4.0 + 3.0)/5
This is because there are 5 total values.
Simplify:
19/5
3.8
This means your GPA would be 3.8
Answer:
The coordinates of the other points are (7,8)
Step-by-step explanation:
Mathematically, we have the midpoint formula as;
(x,y) = (x1 + x2)/2 , (y1 + y2)/2
(1,1) = (-5 + x2)/2 , (-6 + y2)/2
-5 + x2 = 2(1)
x2 = 2 + 5 = 7
(-6 + y2) = 2(1)
-6 + y2 = 2
y2 = 2 + 6
y2 = 8
The coordinates of the other points are (7,8)
The answer is
A.) 1/4 of a turn
1 - 2x < 11
-2x < 10
x < -5
Jack's mistake is that he was supposed to divide by -2 on both sides of the inequality, but he did not do that. By dividing by -2, he will get x < -5.