Answer:
c. g(x) = 4x^2
Step-by-step explanation:
From a first glance, since g(x), is skinnier than f(x), meaning that it is increasing faster, so I know that I can eliminate options A & B since the coefficient on x needs to be greater than 1.
We can then look and see that g(1) = 4 as shown by the point given to us on the graph.
To find the right answer we can find g(1) for options C & D and whichever one matches the point on the graph is our correct answer. e
Option C:
once we plug in 1 for x, our equation looks like
4(1)^2.
1^2 = 1, and 4(1) = 4,
so g(1) = 4. and our point is (1,4).
This is the same as the graph so this is the CORRECT answer.
If you want to double check, you can still find g(1) for option D and verify that it is the WRONG answer.
Option D:
once we plug in 1 for x, our equation looks like
16(1)^2
1^2 = 1, and 16(1) = 16,
so g(1) = 16. and our point is (1,16).
This is different than the graph so this is the WRONG answer.
Answer:
Answers A (1/3), C (4/15) and D (5/6) are all repeating decimals.
Step-by-step explanation:
Repeating decimals are decimals in which a number or sequence of numbers is repeated over and over when dividing the numerator by the denominator of a fraction. For example, when you divide 1 by 3 (1/3), you will get a repeating decimal of 0.3333...since 3 goes into 10 three times with a remainder of 1 and will keep going. Likewise, when you divide 4/15, you get an initial value of 0.2, with a repeating 6, or 0.266666... Lastly, when you divide 5/6, you will get a repeating decimal of 0.833333.... The other answers will all be terminating decimals when you divide the numerator by the denominator. Terminating decimals mean the stop at some point and don't continue.
Answer:
r equals StartFraction C Over 2 pi EndFraction
Step-by-step explanation:
we know that
The circumference of a circle is equal to

where
r is the radius of the circle
Solve for r
That means -----> isolate the variable r
Divide by 2π both sides

Simplify right side

Rewrite

so
r equals StartFraction C Over 2 pi EndFraction
69 framed posters beacuse you have to add 9 and 15 and multiply 24 times 6
I believe the answer is C