Answer:
soln
18x-3=12
18x=15
so,x=5/6
Part A: Write a list of 6 ordered pairs to show the height of the candle in inches (y) as a function of time in hours (x) from the first hour after it started burning. For example, the point (0, 8) would represent a height of 8 inches after 0 hours. Explain how you obtained the ordered pairs. (5 points)
Part B: Is this relation a function? Justify your answer using the list of ordered pairs you created in Part A. (2 points)
Part C: If the rate at which the candle burned was 0.4 inches per hour instead of 0.5 inches per hour, would the relation be a function? Explain your answer using input and output values. (3 points)
B (-6,2)
C (6,-2’
D (-2,6)
Answer:
D
Step-by-step explanation:
Under a counter clockwise rotation about the origin of 90°
a point (x, y ) → (- y, x ) , then
V (6, 2 ) → V' (- 2, 6 ) → D
Answer:
f(5) = -65
Step-by-step explanation:
f(x) = -4x² + 7x f(5)
f(5) = -4(5)² + 7(5)
f(5) = -4(25) + 35
f(5) = -100 + 35
f(5) = -65
Answer:
m∠A = 60°
Step-by-step explanation:
Complementary Angles add up to 90°
Step 1: Set up equation
8x + 20 + 7x - 5 = 90
Step 2: Solve for x
15x + 15 = 90
15x = 75
x = 5
Step 3: Find m∠A
m∠A = 8x + 20
m∠A = 8(5) + 20
m∠A = 40 + 20
m∠A = 60°