Answer:
x=-1
Step-by-step explanation:
-3x=-10+13 - -3x=3 - -3 = -1
Answer:
k= 8/5
Step-by-step explanation:
here x= 5 and y= 8
we have y=kx
k= y/x
k= 8/5 this is constant of variation
Answer:
Radius: 8
Circumference: 50.27
πr^2 = Area of circle
201.06 = πr^2
divide by pi
201.06 / π = 63.9993857161 = 64
64 = r^2
Square root both sides to get radius.
= 8
r = 8
Circumference = π x diameter
Diameter = 2 x radius
Circumference = π x 16 = 50.2654824574 = 50.27
<h3>
Answer: D) The y intercept is (0,1)</h3>
This can be confirmed by plugging x = 0 into the function to find that...
y = (1/2)^x
y = (1/2)^0
y = 1
Recall that any nonzero value to the 0th power leads to 1. So we can say x^0 = 1 as long as x is not zero.
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Extra info (optional section):
- We can rule out choice A because negative x values work in the domain. For instance, if x = -1, then it leads to y = (1/2)^x = (1/2)^(-1) = 2. The negative exponent will apply the reciprocal operation to the base fraction.
- Choice B can also be ruled out because the range is y > 0. Or you could note that it is possible to get positive y values smaller than 1/2. Try x = 2 and you'll see it leads to y = 1/4 which is not greater than 1/2.
- Choice C is false as well. The function f(x) = (1/2)^x is decreasing throughout the domain. A graph visually would show this due to it going downhill when moving from left to right. A table of values is a non-visual way to see we have a decreasing function. The table would show that y decreases when x increases.
