Substitute the value of a = -2 to the expression -3(6a + 4):
-3(6 · (-2) + 4) = -3 · (-12 + 4) = -3 · (-8) = 24
Used PEMDAS
P Parentheses first
E Exponents (ie Powers and Square Roots, etc.)
MD Multiplication and Division (left-to-right)
AS Addition and Subtraction (left-to-right)
Answer:
Choice B is correct; (10, 60)
Step-by-step explanation:
For Lisa to make a profit, the function R should assume a value greater than 0;
R > 0
We are to determine the interval of x values for which the above expression will be true.
From the graph, R(x) = 0 when x = 10. As x increases from 10 to 60, the value of R(x) remains positive, that is;
R(x) ≥ 0 for values of x in the interval (10, 60)
The domain that she should use in order to only model selling prices for which she will make a profit is thus;
(10, 60)
Answer:
63 m
Step-by-step explanation:
We know the rate in 45 m / min
We need to change the time to min
1 min 24 sec
We know that 1 min = 60 sec so 24 seconds is 24/60 ths of a minute
1 min 24/60 min
1 2/5 min
Changing to decimal form
1.4 minutes
Now we multiply by the rate to get the distance
d = r *t
d = 45 m/ min * 1.4 min
d= 63 m