Answer:
C. y = 2 (x + 3)³ − 4
Step-by-step explanation:
y = x³
Stretch vertically by 2.
y = 2x³
Shift horizontally 3 units to the left.
y = 2 (x + 3)³
Shift vertically 4 units down.
y = 2 (x + 3)³ − 4
Answer:
1 hour after they leave
Step-by-step explanation:
The distance each travels is proportional to its speed. The given speeds are at right angles to each other in a 5:12 ratio. The Pythagorean theorem tells you the hypotenuse of such a right triangle will have length ...
√(5²+12²)=√169 = 13
That is the speeds are in the ratio 5:12:13, where 13 represents the relative separation speed. Actual speeds are then 50 mph : 120 mph : 130 mph.
So the distance between the boat and steamer will be increasing at 130 mph. The distance will be 130 miles after 1 hour.
Answer:
30/182 = 15/91.
Step-by-step explanation:
<u>PROBABILITY:</u> the likelihood of an event.
There are a total of 14 shirts in the basket.
Of the 14, 8 (8/14) of them are white, and 6 (6/14) of them are black.
The probability of picking a black shirt is 6 in 14, or 6/14.
The probability of picking a white shirt is 8 in 14, or 8/14.
<u>WITHOUT REPLACING:</u> This means that you take one without putting it back. (There will be one less).
6/14 × 5/13 = 30/182.
30/182 = 15/91.
Answer:
Step-by-step explanation:
3x-4y=65
3x=65+4y
x=(65+4y)/3, when y=4
x=(65+4*4)/3
x=(65+16)/3
x=81/3
x=27
