Part A:
Function A:
Slope = (7-3)/(5-3) = 4/2 = 2
Equation:
y - 3 = 2(x - 3)
y - 3 = 2x - 6
y = 2x - 3
Funcion B:
(0, 3 ) and (-5, 0)
Slope = (3 - 0)/(0 + 5) = 3/5
y-intercept (0,3) so b = 3
Equation:
y = 3/5 x + 3
Function C:
y = 3x + 1
Part B:
Rate of change is the change in y over the change in x (rise/run). It's also the slope
Function A: rate of change = 2
Function B: rate of change = 3/5 (smallest)
Function C: rate of change = 3 (largest)
Order linear functions based on rate of change from least to greatest.
Function B: y = 3/5 x + 3
Function A: y = 2x - 3
Function C: y = 3x + 1
Answer:
2 Superscript 4 x Baseline = 2 Superscript 3 x minus 9
8^(x-3) = 2^(3x-9)
Step-by-step explanation:
2⁴ × 8^(x - 3)
2⁴ × (2³)^(x-3)
2⁴ × 2^(3x - 9)
Since the bases are same now, powers can be added
2^(4 + 3x - 9)
2^(3x - 5)
Answer:

Step-by-step explanation:
Let b be the number of balloons and h be number of party hats.
We have been given that balloons cost $0.50 each, so cost of b balloons will be 0.50b.
We are also told that party hats each cost $1.25, so cost of h party hats will be 1.25h.
Further, Joe wants to spend exactly $20 on the party supplies. We can represent this information in an equation as:

Therefore, the equation
represents the number of balloons ( b) and the number of party hats ( h) that Joe can buy spending exactly $20.
Answer: 5.36363636364
Step-by-step explanation:
91+ 129+ 16=236
236 ÷44= 5.36363636364
Answer:
i think that is 2m + m14
Step-by-step explanation: