4.282 is rounded to 4.300
Answer: y = |x+4|
Explanation:
Imagine that the graph of y = |x| is carved in stone so it cannot move. What we can move though is the xy axis. If we move the xy axis 4 units to the right, then this gives the illusion the V shaped curve is moving 4 units to the left. It goes opposite whatever movement you do to the xy axis.
If we replaced x with x+4, then this moves the xy axis 4 units to the right.
Therefore, going from y = |x| to y = |x+4| will have the V shaped curve moving 4 units to the left.
Answer:
200 miles
Step-by-step explanation:
First, set up the equations.
plan 1: initial fee of $55.96, $0.12 per mile
plan 2: initial fee of $63.96, $0.08 per mile
We want to know at what distance will the cost be the same. So, set the equations equal to each other.
0.12x + 55.96 = 0.08x + 63.96
Combine the variables.
0.04x + 55.96 = 63.96
Combine the constants.
0.04x = 8
Divide by 0.04 to isolate x.
x = 200 miles
Check by plugging x back into each equation.
y = 0.12(200) + 55.96
y = 24 + 55.96
y = $79.96
y = 0.08(200) + 63.96
y = 16 + 63.96
y = $79.96
You are correct!
Answer:
10 minutes for 480 copies. Divide 480 by 10 and get 48 copies per minute. If you divide 720 by 48 you get 15, so it takes 15 minutes to make 720 copies.
Step-by-step explanation:
The first step to solve this question is to find out what 5/6 of 54000 is. So we multiply 5/6 by 54000. Why? Because there's the word "of" and "of" is usually associated in multiplication. So:
5/6 × 54000 = 45000.
So now we know that 5/6 of 54000 is 45000. So it means that she needs 45000 from senior citizens. But the question doesn't stop there, it also asks us to solve for the amount of votes she needs to win other than senior citizens.
Now we know that 45000 seniors need to vote for her we subtract 45000 to the total amount which is 54000.
54000 - 45000 is 9000.
So it means that she needs 9000 voters other than senior citizens to win the election for city council.
