Answer: D
<u>Step-by-step explanation:</u>
A. False
f(x): x → -∞, y → -∞
g(x): x → -∞, y → 1
B. False
at x = -1, f(x) = -7
at x = -1, g(x) = 1.5
C. False
refer to A
g(x) → 1 and f(x) → -∞ so g(x) > f(x)
D. TRUE
It is hard to tell from the graph so plug in a value to check.
f(10) = 5(10) - 2
= 50 - 2
= 48
g(10) = 2¹⁰ + 1
= 1024 + 1
= 1025
g(10) > f(10)
3⁴= 3×3×3×3= 81
3⁵= 3×3×3×3×3= 243
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Answer:
x = 14 inches
Step-by-step explanation:
The area of a square piece of paper is 200 square inches.
We need to find the point on the number line below represents the measurement closest to the side length of the piece of wrapping paper. It is shown in the attached figure.
Area of a square = x², x is the side length
or
x = 14 inches
So, the side length of the square is 14 inches. It is shown in point A.
Answer:
Area = πr², where "r" is some distance "y" and/or the function "(1/6)x"; depending on the situation
Step-by-step explanation:
If I'm picturing this correctly, you'll have conical shape after revolving the function about the x-axis. If you took some generic slice and wanted to find the area of the resulting cross-section, then you would have a circle whose radius is some arbitrary value of the line that matches the slice.
For example:
y = (1/6)x right?
If you took a slice at x = 2, then the radius of the resulting cross-sectional circle would be equal to y = (1/6)•2 =1/3.
From here you just plug it into the area of a circle, πr², to get an area of π/3.
Except with an integral you need to take all the points on the interval, so the radius comes out to be the function itself.
Assuming your integral is in terms of dx, r=y. But in order to integrate in terms of dx you must replace "y" with its function (1/6)x. So ultimately r=(1/6)x and Area = π(1/6)x.
Answer:
she can make 11 bracelets
Step-by-step explanation:
140 / 12 - 11.67
