Answer:
Rule: replace x by x - a where a is the number of units that you want to move right. a must be greater than 0. x - - a would move left.
Step-by-step explanation:
You want f(x) to move 3 units to the right.
That would mean that x would be replaced by x - 3. Just to be sure let's try it.
- Suppose you have f(x) = x^2 + 6x + 5 It is graphed as the red line
- Now suppose you want to move 3 units right.
- It would replaced like f(x - 3) = (x - 3)^2 + 6(x - 3) + 5 which is the blue line
- Notice nothing else is changed. The blue line looks exactly like the red line except that it is shifted 3 units to the right.
Answer:
The solution region is x < –5 and x > 2
Step-by-step explanation:
We are given the inequalities, 2x–2 < –12 or 2x+3 > 7
Upon simplifying the inequalities, we get,
A. 
i.e.
i.e. 
B. 
i.e.
i.e. 
So, we get the solution is
or
and the plotted region can be seen below.
Answer:
B. 5 rolls
Step-by-step explanation:
The areas of the room, not including the ceiling, are discriminated as follows:
Longer walls:
(6 inches equals one foot)
Shorter walls:
(6 inches equals one foot)
Window area: 
Door area: 
Area that will be effectively covered:
Total area to wallpaper: 
Amount of paper needed: 
That is, the area of a roll of paper is 
Number of rolls needed:
rolls
Answer:
Yes
Step-by-step explanation:
Yes
because we are given that
LN ≅ XZ ( side)
the picture shows that
LM ≅XY ( side)
and
MN ≅ YZ (side)
By the <u>SSS theorem of congruency</u> we conclude that ΔLMN ≅ ΔXYZ
Answer:
d.
Chile collects $10,805,998,234 more than Peru.
Step-by-step explanation: