The function is
f(x) = (1/3)x² + 10x + 8
Write the function in standard form for a parabola.
f(x) = (1/3)[x² + 30x] + 8
= (1/3)[ (x+15)²- 225] + 8
= (1/3)(x+15)² -75 + 8
f(x) = (1/3)(x+15)² - 67
This is a parabola with vertex at (-15, -67).
The axis of symmetry is x = -15
The curve opens upward because the coefficient of x² is positive.
As x -> - ∞, f -> +∞.
As x -> +∞, f -> +∞
The domain is all real values of x (see the graph below).
Answer: The domain is (-∞, ∞)
Answer:
The population parameter of this study is the population mean.
Step-by-step explanation:
A population parameter is a numerical measure representing a certain characteristic of the population. For example, population mean, population variance, population proportion, and so on.
The population parameter is computed using all the values of the population.
The population parameter can be estimated using the sample statistic. If the value of the population parameter is not known, then a random sample of large size, say <em>n</em> ≥ 30 can be selected from the population and the statistic value can be computed. This statistic value is considered as the point estimate of the parameter. It is also known as the unbiased estimator of the parameter.
In this case the survey involved sampling of 1500 Americans to estimate the mean dollar amount that Americans spent on health care in the past year.
The sample selected is used to compute the sample mean dollar amount that Americans spent on health care.
So, the population parameter of this study is the population mean.
Answer: This study uses a control group, this study uses repeated measures design, and this study uses random sampling
Step-by-step explanation:
Answer:
Step-by-step explanation:
<u>Given</u>
- Daily charge = $68.80
- Charge per mile = $0.08
- Target distance = 325 miles
- Money limit = $370
<u>Required inequality:</u>
<u>Solving for d:</u>
- 68.8d + 26 ≤ 370
- 68.8d ≤ 344
- d ≤ 344/68.8
- d ≤ 5
Up to 5 days is the answer
Answer:
reflection
Step-by-step explanation:
the second picture is the same distance away form the y axis as the first picture
