Answer:

Step-by-step explanation:
The first step is to multiply the numbers of the numerator. Thus:


Writing the answer above as the product of a whole number and unit fraction (that is, mixed number), 5 goes in 8 1 time remainder 3. Therefore:

Answer:
x=1
Step-by-step explanation:
This is where the line crosses the x axis.
Answer:
This is an example of linear modeling. Linear modeling is a best practice for prediction as the prediction is accurate even though 14 weeks is outside the given interval of 10 weeks.
Step-by-step explanation:
thats just what it is
Answer:
- a(x) = 20 + 0.60x
- domain [0, 50]; range [20, 50]
- maybe
Step-by-step explanation:
a) If x liters are removed from a container with a volume of 50 L, the amount remaining in the container is (50 -x) liters. Of that amount, 40% is acid, so the acid in the container before any more is added will be ...
0.40 × (50 -x)
The x liters are replaced with 100% acid, so the amount of acid that was added to the container is ...
1.00 × (x)
Then after the remove/replace operation, the total amount of acid in the container is ...
a(x) = 0.40(50 -x) +1.00(x)
a(x) = 20 +0.60x . . . . . liters of acid in the final mixture
__
b) The quantity removed cannot be less than zero, nor can it be more than 50 liters. The useful domain of the function is 0 ≤ x ≤ 50. (liters)
The associated range is 20 ≤ a ≤ 50. (liters)
__
c) As we found in part b, the amount of acid in the final mixture may range from 20 liters to 50 liters. So, the percentage of acid in the final mix will range from 20/50 = 40% to 50/50 = 100%. The mixture could be 50% acid, but is not necessarily.
Answer:
The slope is 3 and y-intercept is 4.
Step-by-step explanation:
-3x+y=4
y=4-(-3x)
y=4+3x
y=3x+4
y=mx+b where m=slope and b=y-intercept