Answer:
D.144
Step-by-step explanation:
⇔ 84x = -7x + 1092
⇔ 91x = 1092
⇔ x = 12
⇒ AC = 156 - x = 156 - 12 = 144
Answer:
Option B is correct.
Step-by-step explanation:
To find the inverse of the function, the ordered pairs are inverted. i.e. x becomes y and y becomes x.
So, We are given in the table:
(20,52) ,(25,67.5), (30,84)
The inverse would be:
(52,20), (67.5,25),(84,30)
So, Option B is correct.
Answer:
3x - 2y = 1
Step-by-step explanation:
Step 1: Find the slope
slope m = (y2 - y1)(/x2 - x1)
m = (4 - 1)/(3 - 1) = 3/2
Step 1: Use the formula y = mx + b to solve
This is slope-intercept form of a line. We have a slope of 3/2, and a point (x, y), which is (1, 1). Plug those values into the equation above and solve for b (the only variable we are missing
1 = (3/2)(1) + b
1 = 3/2 + b
1 - 3/2 = b
2/2 - 3/2 = b
-1/2 = b
Step 2: Rewrite the formula using the slope and the b value we just calculated
y = (3/2)x - 1/2
Step 3: Standard form of a line is ax + by = c, where a is a positive integer, so we rearrange the equation from step 2 to standard form.
y = (3/2)x - 1/2
-(3/2)x + y = -1/2 (subtract (3/2)x from both sides)
-3x + 2y = -1 (multiply by 2 to get rid of the fraction on x)
3x - 2y = 1 (multiply by -1 so a becomes positive)
