Answer: Earth: radius = 6378 kilometer, diameter = 12756 kilometers.
Answer:
same
Step-by-step explanation:
The maximum of f(x) is 8 because it's written in vertex notation. From the graph, g(x)'s maximum is 8 so the answer is that they have the same maximum.
Answer:
a. Qualitative.
b. Qualitative.
c. Quantitative.
d. Quantitative.
e. Qualitative.
Step-by-step explanation:
a.
Favorite color can be classified into different categories such as blue,orange, white etc, so, favorite color is a qualitative variable.
b.
Current Occupation can be classified into different categories such as teacher, lawyer and doctor etc, so, current occupation is a qualitative variable.
c.
Number of extra credit problems solved can be meaningfully presented as numerical figures so, number of extra credit problems solved is a quantitative variable.
d.
Number of students in class can be meaningfully presented as numerical figures so, number of of students in our class is a quantitative variable.
e.
Exam Grades can be classified into different categories such as A, B and C etc, so, exam grades is a qualitative variable.
Answer:
7th week
Step-by-step explanation:
Let us represent the number of weeks as x
Jill begins the summer with $500 in her savings account. Each week, she withdraws $20.
$500 - $20× x
500 - 20x
Her brother, Sam,starts the summer with $150 in his account. He adds $30 to his account each week.
$150 + $30 × x
150 + 30x
At what week will both Jill and Sam have the same amount in their account?
We solve this be Equating both Equations together
Jill = Sam
500 - 20x = 150 + 30x
Collect like terms
500 - 150 = 30x + 20x
350 = 50x
Divide both sides by 50
50x/50 = 350/50
x = 7 weeks
Therefore, at the 7 week, Jill and sam would have the same amount in their accounts
F(g(x)) = f(3x+2) = h(x)=9x^2+12x + 6
Note that (3x+2)^2 = 9x^2 + 12x + 4, which is almost, but not quite, equal to h(x).
Let's experiment. What if f(x) = x^2 + 2?
Then f(3x+2) = (3x+2)^2 + 2 = 9x^2 + 12x + 4 + 2 = 9x^2 + 12x + 6, which is the same as the given h(x).
Thus, f(x) is x^2 + 2.
