Answer:
down below
Step-by-step explanation:
1) 4% of 120 = 4.8, so 120+4.8 = 124.8 cm tall
2) 12% of 6000 = 720 . 6000-720 = 5280 gallons
3) 22% of 200 = 44 . 200-44 = 156
4) 30% of 40 - 12 . 40 - 12 = $28
5) 35% of 140 = $49 . 140 + 49 = $189
The line g(x) has slope ...
(change in y)/(change in x) = (-18 -(-20))/(1 - 0) = 2
so can be written in slope-intercept form as
g(x) = 2x -20
The x-intercept of this line is at x=10.
0 = 2x -20 . . . . the x-intercept is where g(x) = 0
20 = 2x
10 = x
The circle also intersects the x-axis at x=10, so that will be one point that is shared by the circle and g(x). A graph shows there is also another point of intersection, (6, -8).
Yes, the linear function g(x) will intersect the circle at 2 points with positive x-coordinates.
Answer:
1. A. 1
2. D.
Step-by-step explanation:
Properties used:
- Power of a Power Property
- Product Property
- Quotient Property
- Zero Exponent Property
1. First, let's deal with the numerator.
can be turned into by using the Power of a Power Property.
And then use the Product Property,
So now, our fraction is this:
All number over itself in a fraction is equal to 1. But you can also do this the mathmatic way using the Quotient Property: or . Which then you plug the numbers in: . And since we know that in Zero Exponent Property: , we can see that . So either way, we get 1.
So the answer is 1, which is A
2. Power of a Power Property:
So plug the numbers in the property: =
Product Property:
We plug the equation in with turned into ---
So the answer is , which is D
I hope this helps!
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Solve for x (isolate/get x by itself)
Add 5 on both sides
Subtract 1/4x on both sides
Make the denominators the same of the fractions in order to combine them. Multiply 2 to the top and bottom of 1/4x
Multiply 8 on both sides
-16 = x