substitute for your equation;
h(x) = f(x) - g(x)
h(x) = (3x + 2) - (-2x -4)
h(x) = 3x + 2 + 2x + 4 (minus and minus = addition)
h(x) = 3x + 2x + 2 + 4 (combine like terms)
h(x) = 5x + 6
Hope that helps! :D
Start by defining variables (things you don't know). Let's make:
t = number of true/false questions
m = number of multiple choice questions
Equation #1
total questions on the test (given to be 20) is then:
t + m = 20
Equation #2
Multiply the number of questions by the points it's worth to get the total points
3t + 11m = 100
Now, you can use substitution to combine the two equations.
t + m = 20
by subtracting m from both sides, equation 1# becomes..
t = 20 - m
substitute t for 20 - m in the second equation.
3(20 - m) + 11m = 100
Solve for m.
3(20 - m) + 11m = 100
60 - 3m + 11m = 100
8m = 100 - 60
8m = 40
m = 5
There are 5 multiple choice questions on the test.
Now use this to find t.
t + m = 20
t + 5 = 20
t = 20 - 5
t = 15
there are 15 true/false questions on the test.
Answer:
he must run 30 miles to burn 1200 calories
Step-by-step explanation:
8 miles = 320 calories
Answer:
3 5
6 11
8 15
17 33
11 21
Step-by-step explanation:
the pattern for the y is to add the same amount then subtract 1.
Answer:
Raj can look on his pay stub to find the total is $400
Step-by-step explanation:
The relation between the deposit and the total pay is ...
deposit = 0.40 × total pay
total pay = deposit / 0.40 = 160/0.40 = 400
Raj was paid $400 this week.
