Answer: 1/4 round.
Step-by-step explanation:
Grace has 3 wheels of cheese and she wants to eat an equal amount each day for 12 days. So each wheel needs to last 12/3 = 4 days. So then she can eat 1 wheel/4 days = 1/4 wheel per day.
The quadratic function given by:
is in vertex form. The graph of
is a parabola whose axis is the vertical line
and whose vertex is the point
. So:
To translate the graph of a function to the right, left, upward or downward we have:

By knowing this things, we can solve our problem as follows:
FIRST.
- Translating <em>11 units to the left:</em>

- Then translating<em> 5 units down:</em>

Since the new function is fatter, the factor we need to multiply the term
<em>must be</em> less than 1, to make the graph fatter. So, according to our options, there are two factors 1/2 and 2.
<em>Therefore, the right answer is </em><em>b. f(x) = 1/2(x + 11)^2 - 5</em>
SECOND.
- Translating <em>8 units to the right:</em>

- Then translating<em> 1 unit down:</em>

As explained in the previous case, there are two factors 1/3 and 3, so we choose the first one.
<em>Therefore, the right answer is </em><em>a. g(x) = 1/3(x - 8)^2 - 1</em>
Answer:
1.length = 15, width = 12, height = 13
2. 13 × 12 × 15 = 2340
Step-by-step explanation:
3 ÷ 1/4 = 12
3 3/4 = 15/4
15/4 ÷ 1/4 = 15
3 1/4 ÷ 1/4 = 13
length = 15
width = 12
height = 13
13 × 12 × 15 = 2340
Emily bikes 12 miles, generating a donation unit for every 0.75 miles. Her 12 mile ride will generate
12 × 0.75 = 9 donation units. For each of these 9 danation units her mother will donate 80 cents.
It follows that Emily's mom will donate
9 donation units × $0.80 per unit = $7.20.
Answer:
False the vertex will not always be on the axis of symmetry.
(I may be wrong, please don't be mean its what I was taught)