When solving an equation with an absolute value term, you make two separate equations ans solve for x:
Equation 1: |4x-3|-5 = 4
1st add 5 to both sides:
|4x-3| = 9
Remove the absolute value term and make two equations:
4x-3 = 9 and 4x - 3 = -9
Solving for x you get X = 3 and x = -1.5
When you replace x with those values in the original equation the statement is true so those are two solutions.
Do the same thing for equation 2:
|2x+3| +8 = 3
Subtract 8 from both sides:
|2x+3| = -5
Remove the absolute value term and make two equations:
2x +3 = -5
2x+3 = 5
Solving for x you get -1 and 4, but when you replace x in the original equation with those values, the statement is false, so there are no solutions.
The answer is:
C. The solutions to equation 1 are x = 3, −1.5, and equation 2 has no solution.
Answer:
K/(4+9b) = a
Step-by-step explanation:
K = 4a + 9ab
Factor out a on the right hand side
K = a(4 + 9b)
Divide each side by (4+9b)
K/(4+9b) = a(4 + 9b)/(4+9b)
K/(4+9b) = a
Answer:
It costs $15 a month to play the video game.
The initial cost is $45.
The y-variable represents the cost in dollars.
The x-variable represents the number of months.
Step-by-step explanation:
If you break the function down, you're going to have:
<u>Total = Monthly Cost + Initial Cost</u>
In this case, 15x is your monthly cost, as you can think of x as the number of months meaning:
- 15 for the first month (x = 1)
- 30 for the second month (x = 2)
- 45 for the third month (x = 3), and so on
Our initial cost is always going to be a set amount, thus our constant, $45.
This leaves y as our total, which makes sense, as it's all alone on one side of the equation, where as all the costs are bunched together on the right side.
Hope this helps!
Answer:
Step-by-step explanation:
what points do you want me to plot?
option B
Explanation:
The cost of renting per hour = $2
For 1 hour = $2
For each additional hour, it is $1
For 2 hours = First hour + 1(additional hour)
For 2 hours = $2 + $1(1) = 2+1 = $3
For 3 hours = $2 + $1 (2) = 2+2 = $4
For 4 hours = $2 + $1(3) = 2+3 = $5
The graph which shows this rental cost as 2, 3, 4, 5 is option B
