$1.21 is the original price per pound...i too am having trouble with figuring out how to setup the equation!!
Answer:
Sofia is correct.
Step-by-step explanation:
Mark's statement depends on the starting point. He can be correct if they started at the 0 mile, but in this case we don't know where they started. They could had started at the 12 mile and their current position after the walking would be 16 miles.
On the other hand, Sofia's statement doesn't depend on where they started. She refers to how much they walked, not to where they are after the walking. Since they stopped after 4 non-stopping miles, their displacement was exactly 4 miles. So Sofia is correct.
Answer:the original height of the candle is 14.8 inches
Step-by-step explanation:
A Candlestick burns at a rate of 0.2 inches per hour. It means that the height of the candle is decreasing by 2 inches per hour. This decrease is in arithmetic progression. The formula for determining the nth term of an arithmetic sequence is expressed as
Tn = a + (n - 1)d
Where
a represents the first term of the sequence.
d represents the common difference.
n represents the number of terms in the sequence.
From the information given,
d = - 0.2 (it is decreasing)
n = 8
T8 = 13.4 inches
We want to determine the value of the first term, a. Therefore,
13.4 = a - 0.2(8 - 1)
13.4 = a - 1.4
a = 13.4 + 1.4 = 14.8 inches
Answer:
B. f(g(x)) = 7x + 27
Step-by-step explanation:
We have, f(x) = 7x+13 and g(x) = x+2.
So, the function f(g(x)) is obtained by substituting the function g(x) = x+2 in f(x) = 7x+13,
i.e. f(g(x)) = f(x+2)
i.e. f(g(x)) = 7 × (x+2) + 13
i.e. f(g(x)) = 7x + 14 + 13
i.e. f(g(x)) = 7x + 27
Thus, f(g(x)) = 7x + 27
Hence, option B is correct.
