Answer:
B
Step-by-step explanation:
g(x) - h(x)
= 5x² - 10x + 9 - ( - 3x³ + 5x - 6) ← distribute parenthesis by - 1
= 5x² - 10x + 9 + 3x³ - 5x + 6 ← collect like terms
= 3x³ + 5x² - 15x + 15 → B
The slope of the lines is -0.75 and 0.75 respectively. This shows that the slope of one of the<u> line is negative of the other.</u>
<h3>Slope of a line</h3>
The slope of a line is the rate of change of the y-axis of the coordinate to x-axis. The formula for calculating the slope of a line is expressed as;
Slope = y2-y1/x2-x1
Given the following coordinate point (−8, 9) to (−4, 6), the slope is calculated as;
Slope = 6-9/-4+8
Slope = -3/4
For the coordinate points (-4, 6) and (2, 1.5), the slope is calculate;
Slope = 1.5-6/2+4
Slope = -4.5/6
Slope = 0.75
Hence the slope of the coordinate point is 0.75.
Hence the slope of the lines is -0.75 and 0.75 respectively. This shows that the slope of one of the<u> line is negative of the other.</u>
Learn more on slope of a line here: brainly.com/question/3493733
#SPJ1
Answer:
sqrt(1/2x+6) = h^-1 (x)
Step-by-step explanation:
To find the inverse, we exchange x and y and then solve for y
y = 2x^2 -12
Exchange x and y
x = 2y^2 -12
Solve of y
Add 12 to each side
x+12 = 2y^2
Divide by 2
(x+12) /2 = 2y^2/2
(x+12)/2 =y^2
1/2 x+6 = y^2
Take the square root of each side
sqrt(1/2x+6) = sqrt(y^2)
sqrt(1/2x+6) = y
This is the inverse
