Answer: Choice B) (2,0)
======================================
Set the first piece equal to zero and solve for x
x^2 - 4 = 0
x^2 = 4
x = sqrt(4) or x = -sqrt(4)
x = 2 or x = -2
Keep in mind that the first piece y = x^2-4 is only graphed when x = 2 or larger, so we ignore x = -2. This is one x intercept, but there may be more. Let's check the other graph to see what we get.
----------
Set the second piece equal to zero and solve for x
x-2 = 0
x-2+2 = 0+2
x = 2
We get the same result as above in the prior section. Because of this, the two pieces connect at this junction point.
The x intercept x = 2 leads to the location (2,0). The x intercept always occurs when y = 0.
The graph below shows this.
side note: the red piece y = x^2 - 4 looks linear, but it's actually not a straight line. It's just a really stretched out curve.
Answer:
57
Step-by-step explanation:
The range of a data set is
Largest data value - Smallest data value
62 - 5
= 57
The range of the data set is 57 pounds.
Answer:
slope is undefined
Step-by-step explanation:
x = 4 is the equation of a vertical line parallel to the y- axis.
The slope of a vertical line is undefined
Well 4 just means that there are 4 of these things. so 1/2 is also the same as 50/100 or 25/50 or 500/1000 (the gist of it) so you just multiply the bottom and the top by the same number which would just give you different improper fractions
Answer:
9c^2
Step-by-step explanation:
The greatest common factor (GCF) is the largest positive integer that divides each of the integers. In this case we have the terms 207c^3 and 108c^2. Both terms can be divided by 9c^2 to get 9c^2(23c + 12). Notice that 23c + 12 can no longer be further simplified so 9c^2 is the GCF.
