Step-by-step explanation:
just think - what does it mean to translate (shift) a graph upward by 5 units ?
does the graph change in its content ? no. all the functional result value (= y values or coordinates) are still calculated as before, BUT before marking them on the chart the y values are moved up by 5 units. that means they are increased by 5 (that is the only way to move something "up" on a coordinate grid).
so, in other words, f(x) is nothing else but h(x), but it increases the results of h(x) consistently by 5.
h(x) = 2x² + 4
f(x) = h(x) + 5 = 2x² + 4 + 5 = 2x² + 9
Answer:
the answer is point Y since it is in the middle of the line between X and Z
Answer:
Company B
Step-by-step explanation:
A is $0.15/min
because 76/500
B is $0.12/min
because 54/450
Company B is cheaper so it would be the better deal
y-intercept for x = 0.
Substitute x = 0 to the equation of the function:

Answer:
(a) and (b) are not equivalent
(c) is equivalent
Step-by-step explanation:
Given

Required
Determine an equivalent or nonequivalent expression

We have:

Apply law of indices

<em>This is not equivalent to </em>
<em></em>

We have:

Apply law of indices

<em>This is not equivalent to </em>
<em></em>
<em></em>
<em />
<em />
We have:
<em />
<em />
Apply law of indices
<em />
<em />
<em />
<em />
<em>Evaluate the numerator</em>
<em />
<em />
<em />
<em>This is an equivalent expression</em>