Answer:
f(g(x))=(x-4)+2
Step-by-step explanation:
Plug in the equation from g(x) into the x in f(x) and solve.
Answer:
see below for a graph
Step-by-step explanation:
The equation is in slope-intercept form, so right away you know one point is the y-intercept: (0, -4).
Another point can be found using the slope, which is 3/2, to go 2 units to the right and 3 units up. (Slope = rise/run, so rise = 3 and run = 2 match the slope.)
Answer:
x=1.33 repeating or 1 1/3
Step-by-step explanation:
You take 4 and distribute to everything in the parentheses.
You also do the same for the -4.
After you distribute, you should get: 4x+24=-8x+36+3x
Then you combine like terms (the two x's on the right side of the equation.
You should then get: 4x+24=-5x+36
Next, you subtract 24 from the positive 24, to cancel it out, and the 36 to get 12.
Then, add 5x to the negative 5x, to cancel it out, and to the 4x to get 9x.
Finally, you divide 12 by 9 to get 1.33 repeating or 1 1/3.
When you have a linear model, you are adding or subtracting the same amount each time.
The following are linear:
A pool that charges a yearly fee and a per visit fee.
A theater that charges per ticket.
The distance a bike travels at a constant speed.
Answer:
First blank: 4
Second blank: 3
Third blank: 8
Step-by-step explanation:
The expressions must be equivalent, yet one must read as 4 times the length of the box.
Looking at the given expression, 12x + 32, both numbers can be evenly divided by 4.
Since the blank spaces contain parenthesis, I can assume the problem is asking us to factor the numbers.
This means we put the number 4 on the outside of the parenthesis to display "4 times the side length."
4 × ? = 12
4 × 3 = 12
Substitute 12 for 3.
4 × ? = 32
4 × 8 = 32
Substitute 32 for 8.
4 (3x + 8)
