Answer:
Step-by-step explanation:
A vertical stretch by a factor of k means that the point (x, y) on the graph of f (x) is transformed to the point (x, ky) on the graph of g(x), where k <1.
If k =1, then same graph we obtain and if k>1 we get a vertically shrink graph.
In our question, there is a vertical stretch of 3. This means new graph would have points as (x,y/3)
i.e. instead of f(x) = y, we have now f(x) = y/3
So transformation is g(x) = 3f(x)
Option A is correct.
2) Here f(x) = 3x+8 is transformed to g(x) =3x+6
i.e. y intercept is reduced by 2 units. Hence there is a translation of 2 units down.
Answer:
the x is the independent variable so the guests the y is the dependent variable so the cost.
Step-by-step explanation:
because so when there are 100 people there is 4,200 +750 and the cost is 4,950
Answer:

Step-by-step explanation:
The margin of error is computed using the formula:

The critical of <em>z</em> for 95% confidence level and 90% confidence level are:

*Use a <em>z</em>-table.
The sample size is n = 44.
Compare the MOE for 95% confidence level and 90% confidence level as follows:


Answer:
the probability is 50% or 1/2 (equally likely and equally unlikely)
That is because it does not state the amount of socks inside the draw; meaning the answer has to be theoretical.
If the probability is the same, than it has to equal to 100
so we can conclude that 1/2 of the drawer is blue socks and 1/2 is white socks.
Answer:
Final graph is attached.
Solution is x=2, y=3
Step-by-step explanation:
As we have to solve by graphing to let's graph y=2x-1 first.
we are free to plug any number for x say x=0 and x=2
when x=0 then y=2x-1 changes to
y=2(0)-1=0-1=-1
Hence point is (0,-1)
Similarly
when x=2 then y=2x-1 changes to
y=2(2)-1=4-1=3
Hence point is (2,3).
Now we graph both points (0,-1) and (2,3) then join them by a straight line.
We repeat exactly same process for other line y=-x+5 and get points (0,5) and (2,3)
Now graph both to see the intersection point of both lines
We see that both lines intersect at point (2,3)
<u>Hence final answer is (2,3) or we can also write x=2, y=3.</u>