The easiest way is to plug x=-4, y=-1 in the equation to see which one works.
8(-4)-9(-1)=-23
B is correct.
Answer:
Option (C).
Step-by-step explanation:
Graphed function is,
f(x) = x² - 2x - 3
= x² - 2x + 1 - 1 - 3
= (x² - 2x + 1) - 4
= (x - 1)² - 4
f(-2x) = (-2x)² - 2(-2x) - 3
= 4x² + 4x - 3
= 4(x² + x) - 3
= 4[x² + 2(0.5)x + (0.5)²- (0.5)²] -3
= 4(x + 0.5)² - 1 - 3
= 4(x + 0.5)² - 4
= 4[(x - 1) + 1.5]² - 4
Therefore, parent function 'f' will be a horizontal shrink by 4 units and shifted 1.5 units to the left.
Option (C) will be the answer.
Step-by-step explanation:
Growth in population each year = 3%(1500)
= 3/100 × 1500
= 3 × 15
= 45
Therefore, the growth in population in 6 years
= 6 × 3%(1500)
= 6 × 45
= 270
Hence, the population after 6 years = 1500 + 270
= 1770
The answer is 93
If we sorted out the number of each hours, the sequence will look like this
57 _ 69 _ 81 _ x _ 105
(in which x is the fourth hour of work)
We can see from the sequence that each hours, the mailman add additional 12 letters.
(69 - 57 = 12)
(81 - 69 = 12) . . . . proof
So, the amount of letters on the fourth hour would be:
81 letters + 12 letters = 93 Letters
Answer:
86°
Step-by-step explanation:
- Angles on a straight line add up to 180° always
180° - 94° = x° = 86°
