Given that the function is 
We need to determine the average rate of change over the interval 
<u>Value of f(x) when x = 0:</u>
Substituting x = 0 in the function , we have;
Thus, the value of f(0) is 7.
<u>Value of f(x) when x = 5:</u>
Substituting x = 5 in the function , we have;
Thus, the value of f(5) is 2.
<u>Average rate of change:</u>
The average rate of change can be determined using the formula,
where 
and 
Thus, we have;
Thus, the average rate of change over the interval is -1.
Since the slope is -2, then m=-2. Since the y-intercept is 5, b=5. Then, we can create the equation: y=-2x+5
Since the slope is 
, then m=. Since the y-intercept is -3, b=-3.
Then, we can create the equation: y=x-3
The measure of ∠BAF is 54°.
Solution:
DF and CE are intersecting lines.
m∠EAF = 72° and AB bisects ∠CAF.
∠EAF and ∠DAC are vertically opposite angles.
Vertical angle theorem:
<em>If two lines are intersecting, then vertically opposite angles are congruent.</em>
∠DAC ≅ ∠EAF
m∠DAC = 72°
<em>Sum of the adjacent angles in a straight line = 180°</em>
m∠DAE + m∠EAF = 180°
m∠DAE + 72° = 180°
Subtract 72° from both sides.
m∠DAE = 108°
∠CAF and ∠DAE are vertically opposite angles.
⇒ m∠CAF = m∠DAE
⇒ m∠CAF = 108°
AB bisects ∠CAF means ∠CAB = ∠BAF
m∠CAB + m∠BAF = 108°
m∠BAF + m∠BAF = 108°
2 m∠BAF = 108°
Divide by 2 on both sides, we get
m∠BAF = 54°
Hence the measure of ∠BAF is 54°.
<em><u>Answer:</u></em>
I'm assuming this is a <em>combining like terms</em> question, in which case the answer would be 6n - 3c.
<u><em>Step-by-step explanation:</em></u>
I'm guessing your teacher wants you to combine the like terms, and 1n plus 5n = 6n, minus 3c is the answer, which is 6n - 3c. If your teacher wanted you to solve for each variable, you can't do that because you don't have enough information, and there's an infinite number of solutions.
<em>Hope this helps! Feel free to give me Brainliest if you feel this helped. Have a good day, and good luck on your test. :)</em>
Answer:
D
Step-by-step explanation:
