Answer:
Step-by-step explanation:
5x-8w=9 add 8w : 5x-8w+8w = 9+8w
5x = 9+8w
now divid by 5 : x = (9+8w)/5
Answer: Option C.
Step-by-step explanation:
For a parent function
, you have these transformations:
If
and
then the graph is compressed vertically by a factor "c".
If
and
then the graph is stretched vertically by a factor "c"
If
and
then the graph is stretched horizontally by a factor "c"
If
and
then the graph is compressed horizontally by a factor "c"
In this problem we have the function
and we know that this is horizontally compressed to g(x), then the transformation is:
and the factor must be ![|c| > 1](https://tex.z-dn.net/?f=%7Cc%7C%20%3E%201)
You can observe that the option that shows this form is the option C. Therefore, the equation of g(x) is:
![g(x) = (5x)^2](https://tex.z-dn.net/?f=g%28x%29%20%3D%20%285x%29%5E2)
Where ![|5| > 1](https://tex.z-dn.net/?f=%7C5%7C%20%3E%201)
Answer:
There are 78 apples in the bushel that are not granny smith apple.
Step-by-step explanation:
We are given the following in the question:
Number of apples in the bushel,n = 104
Probability of a granny smith apple from The bushel = 25%
P(Granny smit apple) =
![p=0.25](https://tex.z-dn.net/?f=p%3D0.25)
Thus, probability thta the apple is not a granny smith apple is
P( Not a granny smit apple) =
![q=1 - p = 1-0.25 = 0.75](https://tex.z-dn.net/?f=q%3D1%20-%20p%20%3D%201-0.25%20%3D%200.75)
Number of apples that are not granny smit apple =
![=q\times n\\=0.75\times 104\\=78](https://tex.z-dn.net/?f=%3Dq%5Ctimes%20n%5C%5C%3D0.75%5Ctimes%20104%5C%5C%3D78)
Thus, there are 78 apples in the bushel that are not granny smith apple.
Answer:
Step-by-step explanation:
You want the slope-intercept equation of the line through (2, 2) and parallel to the line through (-1, 6) and (1, 5).
<h3>Slope</h3>
The parallel line will have the same slope. The slope is given by the equation ...
m = (y2 -y1)/(x2 -x1)
m = (5 -6)/(1 -(-1))
m = -1/2
<h3>Intercept</h3>
We need to find the y-intercept of the desired line. Solving the equation for "b", we get ...
y = mx +b
b = y -mx . . . . . . . subtract mx to find b
b = 2 -(-1/2)(2) . . . . use m=-1/2 and (x, y) = (2, 2)
b = 2 +1
b = 3
The equation we want is ...
y = -1/2x +3