Answer:
Take this algebraic expression in pieces:
5 times x:
5x
The difference of 5x and 4 means we subtract 4 from 5x:
5x - 4
We want to cube this difference, which means we raise the difference to the power of 3.
(5x - 4)^3
Step-by-step explanation:
<span>Given that f(x) = 2x + 5 and g(x) = x − 7
</span>f(g(x)) = 2(x − 7) + 5
f(g(x)) = 2x - 14 + 5
f(g(x)) = 2x - 9
when x = −3 , f(g(-3)) = 2(-3) - 9 = - 6 - 9 = -15
Answer
<span>A. −15</span>
A is correct because 445.50 Divided By 150 is Equal to $2.97.
Answer:
D. 
and 
Step-by-step explanation:
The vertex of a function is controlled by the translations of the x and y value. Moving a vertex up and down is connected to the vertical position or the y-value. The y-value is the value that is added to the variable and is not squared.
Vertex form of a function is 
. In this case, k controls the vertical position of the vertex. If k is negative then the vertex will be moved down. So, if you want to move a vertex down by 5 units, then the k value must be -5.
Plug this into the formula to get the equation for k(x). This means that k(x) must equal 
.
Answer:
When the y-intercept of a line is changed, the line will shift up or down along the y-axis. The slope of the line will remain the same, but the point at which the line crosses the y-axis will change. This means that the position of the line on the graph will change, but the overall shape of the line will stay the same. For example, if the y-intercept of the line y=x is changed from (0,0) to (0,5), the line will shift up by 5 units and will now be represented by the equation y=x+5. This will cause the line to intersect the y-axis at the point (0,5) instead of (0,0).
