Answer:
B. Infinitely Many
Step-by-step explanation:
Step 1: Distribute
5x + 48 + 7x = 12x + 48
Step 2: Combine like terms
12x + 148 = 12x + 48
If the 2 lines are the same, which they are, they are the same lines. That means there are an infinite amount of solutions. If they had the same slope but different y-intercepts, there would be no solutions because the lines are parallel. Any other pair of equations would have 1 solution.
Answer:
Numbers of students at a primary school before= 240
Number of increased students =42
Again,
Increased number of students in percent(%)= 42/240×100%= 17.5%
Therefore 17.5% students are increased this year.
Answer:
x=4/f
Step-by-step explanation:
Answer:
Step-by-step explanation:
Since the angles both come off of the straight line, they are supplementary, and they add up to equal 180 degrees.
2x + 4x + 24 = 180 and
6x + 24 = 180 and
6x = 156 so
x = 26
Step-by-step explanation:
recall for any function f(x)
Vertical translations by "a" units are given simply by
f(x) + a,
where positive values of a translates the graph in the positive y direction (i.e up) and negative values of a translates the graph in the negative y direction (i.e down)
Horizontal translations by "b" units are given by
f(x-b),
where negative values of a translates the graph in the negative x direction (i.e left) and postive values of a translates the graph in the postive x direction (i.e right)
if we combine the two above, we get the expression
g(x) = f(x-b) + a
In our case, we see that to get from the blue graph to the red graph, we need to translate 3 units in the positive x-direction (i.e b = 3) and 4 units in the negative y-direction (i.e a = -4)
Substituting b = 3, a = -4 and that f(x) = |x|,
we get
g(x) = |x-(3)| - 4
g(x) = |(x-3)| - 4
