Answer:
a) 1/27
b) 16
c) 1/8
Step-by-step explanation:
a) 
One of the properties of the exponents tells us that when we have a negative exponent we can express it in terms of its positive exponent by turning it into the denominator (and changing its sign), so we would have:
And now, solving for x = 9 we have:
b) 
This is already a positive rational exponent so we are just going to substitute the value of y = 8 into the expression
c) 
Using the same property we used in a) we have:
And now, solving for z = 16 we have:
Step-by-step explanation:
Let's pick two points on the line: 
and 
Let's calculate the slope of this line using these points:
With this value of the slope, we can write the general slope-intercept form of the equation as
To solve for the y-intercept b, let's use either P1 or P2. I'm going to use P2:
Therefore, the slope-intercept form of the equation is
Draw the dilation image of the triangle with a center at the origin and a scale factor of two.
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Answer:
35% chose baseball or soccer
Step-by-step explanation:
baseball or soccer = 20% + 15% = 35%
_____
The categories add to 100%, so are mutually exclusive, as you expect when they are "favorite sport" categories. Hence the union of two of them will be their sum. (Otherwise, you'd have to subtract the amount by which the categories overlap.)
