Answer:
f(x) + 2 is translated 2 units up and -(1/2)*f(x) is reflected across x-axis.
Step-by-step explanation:
We have f(x) becomes f(x) + 2.
The y-intercept of f(x) is f(0), implies that y-intercept of f(x) + 2 is f(0) + 2. This means that the graph of f(x) is translated 2 units upwards.
Moreover, the region where f(x) increases will be the same region region where f(x) + 2 increases and there will not any change in the size of the figure.
Now, we have f(x) becomes -(1/2)*f(x).
The y-intercept of -(1/2)*f(x) is -(1/2)*f(0). This means that the graph is dilated by 1/2 units and then reflected across x-axis.
Moreover, the region where f(x) increases will be the opposite region region where -(1/2)*f(x) increases and the size of the figure will change as dilation of 1/2 is applied to f(x)
Answer:
B. y = 2.5
Step-by-step explanation:
Diane's average speed= 25/y km/h.
Ed's speed= (25/y) - 6 km/h.
Ed walks 25-3 = 22 km.
Consider Ed's journey:
Speed = distance / time so:
(25/y) - 6 = 22 / (y + 3) ( 3 hours longer = y + 3)
(25 /y - 6)(y + 3) = 22
25 + 75/y - 6y - 18 = 22
6y - 75/y = 25 - 18 - 22
6y - 75/y + 15 = 0
6y^2 + 15y - 75 = 0
2y^2 + 5y - 25 = 0
(2y - 5 )(y + 5) = 0
y = 2.5, -5.
y = 2.5 ( as it must be positive.
Answer:
b: 5/7
Step-by-step explanation:
The ratio between the surfaces areas of the two prisms is equal to 6.25.
<h3>
How to get the ratio of the surface areas?</h3>
The ratio between the volumes of the prisms is:
This number is equal to the cube of the scale of dilation applied to the dimensions of the smaller prism, so the scale factor is:
![\sqrt[3]{15.625} = 2.5](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B15.625%7D%20%3D%202.5)
And the ratio between the areas should be the square of the scale factor, then we will have that the ratio between the surface areas of the two prisms is:
If you want to learn more about scale factors, you can read:
brainly.com/question/3457976
