........
4. 14
5. 7/21
........
Answer:
a. No
b. Yes
Step-by-step explanation:
a.
x - 4 = 12
x - 4 + 4 = 12 + 4
x = 16
16 ≠ 8
Therefore, the following value given for problem a is not a solution to the given equation.
b. (3 + x)/4 = 3
(3 + x)/4 * 4 = 3 * 4
3 + x = 12
3 + x - 3 = 12 - 3
x = 9
9 = 9
Therefore, the following value given for problem b is a solution to the given equation.
Answer:
The slope of the line reflects the actual trend of the data
Step-by-step explanation:
<u><em>The options of the question are</em></u>
a. The slope should be negative.
b. The spacing for each axis must be chosen so that the line reflects a positive slope.
c. The slope of the line reflects the actual trend of the data.
d. The slope of a line is not important in analyzing a line graph
we know that
The slope of a line is the steepness of the line ( the change in 'y' over the change in 'x',)
The formula to calculate the slope between two points is equal to
where
---> is called the rise
is called the run
Is important because the slope of the line reflects the actual trend of the data
Step-by-step explanation:
x³ - 3x² + px ≡ x(x - 1)(x - q)
x³ - 3x² + px ≡ (x² - x)(x - q)
x³ - 3x² + px ≡ x³ + (-q - 1)x² + qx
By Comparing Coefficients, we have
Therefpre q = 3 - 1 = 2 and p = q = 2.