F(x)=5x^2 Has minimum (0,0)
g(x) = f(x) + 2 Shifts the graph two units up, then the minimum is 2+0=2.
h(x) = g(x+4) Shifts the graph four units left, then the minimum is at 0-4 = -4.
Then h(x) = 5(x+4)^2 + 2 has the minimum (-4,2)
And p(x) = -5(x+4)^2 + 2 has the maximum (-4,2)
Answer:
67/5 = 13 2/5
Step-by-step explanation:
Step 1: <u>Define/explain.</u>
An easier way to solve this is by changing the mixed fractions to improper fractions.
To do this, multiply the whole number by the denominator, then add the product to the numerator; the denominator remains the same.
Mixed fraction - a fraction with a whole number.
Improper fraction - a fraction with a numerator larger than the denominator.
Step 2: <u>Solve.</u>


From here, add as usual.

Step 3: <u>Conclude.</u>
You can change the improper fraction to a mixed fraction if you'd like.
To do this, divide the numerator by the denominator.
The amount of times the numerator evenly goes into the denominator is the whole number.
The amount of remaining numbers in the denominator.
The numerator remains the same.

I, therefore, believe the answer to this is 13 2/5.
Answer:
y = -1/2x + 1
Step-by-step explanation:
Using the slope formula: y = (y2 - y1)/(x2 - x1), we can determine that the slope is -1/2. There is only one answer with the slope of -1/2, but to check that it's right, we can plug in one of the points to see that y = -1/2x + 1 works.
Answer:
negative because the container is losing liquid.
Step-by-step explanation:
y-5x is the rate