The y-intercept represents the flat charge to hire the plumber
Explanation: The y-intercept is 0 hour, which can represent flat charge
Answer:
Step-by-step explanation:
Provide problems and we're here to help.
Answer:
slope = 2
Step-by-step explanation:
To find the slope, we need to read 2 points off the graph.
Where the line crosses the y-axis, the point is (0, 2.5).
The next point up on the line looks like (1, 4.5).
slope = m = (difference in y)/(difference in x)
To find the difference in y and difference in x, subtract the y-coordinates and the x-coordinates, respectively, in the same order.
difference in y = 4.5 - 2.5 = 2
difference in x = 1 - 0
slope = m = (difference in y)/(difference in x) = 2/1 = 2
Answer:
12
Step-by-step explanation:
3 times 4 is 12
Answer:
p =1
q = 9
Step-by-step explanation:
f(x) = 2x³ - px² + 2qx + q
(x - 3) is a factor of f(x)
⇒f(3) = 0
2(3)³ - p*3² - 2q*3 +q = 0
2*27 - 9p - 6q + q = 0
54 - 9p - 5q = 0
-9p - 5q = -54 -------------------(I)
(2x - 1) is a factor of f(x)
2x - 1 = 0
2x = 1
f(1/2) = 0
![2*(\dfrac{1}{2})^{3}-p*(\dfrac{1}{2})^{2}-2q*\dfrac{1}{2}+q=0\\\\2*\dfrac{1}{8}-p*\dfrac{1}{4}-q+q = 0\\\\\dfrac{1}{4}-\dfrac{1}{4}p =0\\\\[Multiply the entire equation by 4]\\\\4*\dfrac{1}{4}-4*\dfrac{1}{4}p=0\\\\](https://tex.z-dn.net/?f=2%2A%28%5Cdfrac%7B1%7D%7B2%7D%29%5E%7B3%7D-p%2A%28%5Cdfrac%7B1%7D%7B2%7D%29%5E%7B2%7D-2q%2A%5Cdfrac%7B1%7D%7B2%7D%2Bq%3D0%5C%5C%5C%5C2%2A%5Cdfrac%7B1%7D%7B8%7D-p%2A%5Cdfrac%7B1%7D%7B4%7D-q%2Bq%20%3D%200%5C%5C%5C%5C%5Cdfrac%7B1%7D%7B4%7D-%5Cdfrac%7B1%7D%7B4%7Dp%20%3D0%5C%5C%5C%5C%5BMultiply%20the%20entire%20equation%20by%204%5D%5C%5C%5C%5C4%2A%5Cdfrac%7B1%7D%7B4%7D-4%2A%5Cdfrac%7B1%7D%7B4%7Dp%3D0%5C%5C%5C%5C)
1 - p = 0
-p = -1
p = 1
Substitute p =1 in equation (I)
-9*1 - 5q = -54
-9 - 5q = -54
-5q = -54 + 9
-5q = -45
q = -45/(-5)
q = 9
