Answer:
15 equation: 195=105+6x
Step-by-step explanation:
he starts out with 105 and the rate of change is 6x so to get the answer u wanna make and equation (195=105+6x) then you would subtract the 105
195=105+6x
-105 -105
---------------------
90=0 +6x
then u would divide by 6
90/6=6x/6
x=15
Answer: he will be able to make 19 full pieces
Step-by-step explanation:
1. Start off by making 7 feet into 84 inches so the measurements can match.
2. Add 4/14 inches and the 1/8 a inch together so you know how much is being taken off 84 inches. The amount will be 35/8 inches.
3. Divide 84 inches by 35/8 inches = 19 1/5
4. The whole number of the answer will be how many boards you can make from the board.
Answer:x-2+10=12
We move all terms to the left:
x-2+10-(12)=0
We add all the numbers together, and all the variables
x-4=0
We move all terms containing x to the left, all other terms to the right
x=4
Step-by-step explanation:
Negative
Positive
Positive
Negative
Answer:
a) see the plots below
b) f(x) is exponential; g(x) is linear (see below for explanation)
c) the function values are never equal
Step-by-step explanation:
a) a graph of the two function values is attached
__
b) Adjacent values of f(x) have a common ratio of 3, so f(x) is exponential (with a base of 3). Adjacent values of g(x) have a common difference of 2, so g(x) is linear (with a slope of 2).
__
c) At x ≥ 1, the slope of f(x) is greater than the slope of g(x), and the value of f(x) is greater than the value of g(x), so the curves can never cross for x > 1. Similarly, for x ≤ 0, the slope of f(x) is less than the slope of g(x). Once again, f(0) is greater than g(0), so the curves can never cross.
In the region between x=0 and x=1, f(x) remains greater than g(x). The smallest difference is about 0.73, near x = 0.545, where the slopes of the two functions are equal.