Answer:
the average rate of change is 4
Step-by-step explanation:
Answer:
Correct rate of change is -5; correct initial value is 3.
Step-by-step explanation:
The rate of change is the coefficient of the x term, which here is -5. So Bryan has the rate of change wrong.
The initial value of the function is found by letting x = 0. Here, we get
y = -5(0) + 3, or y = b = 3. The initial value is 3, not -5.
<u>Answer:</u>
<u>Step-by-step explanation:</u>
We have a parabola and a small line shown in the graph.
The parabola goes upto x = 2 but does not reach that very value. So x = 2 starts on the line above where x = 2 and ends just before x = 4.
Therefore, this function can be modeled by:
Answer:
m + n = 15
m - 3 = n
The numbers are 9 and 6
Step-by-step explanation:
From the question,
The sum of two numbers is fifteen; the first number is m and the second number is n. To translate to a system of equations, we can write that
m + n = 15 ..... (1)
Also, from the question,
One number is three less than the other,
Also, to translate to a system of equations, we can write that
m - 3 = n ...... (2)
If desired, we can determine m and n
From equation (1)
m + n = 15
Then,
m = 15 - n ...... (3)
Put the value of m in equation (3) into equation (2)
m - 3 = n
Then
15 - n - 3 = n
15 - 3 = n + n
12 = 2n
n = 12/2
∴ n = 6
For m, put the value of n into equation 3
m = 15 - n
m = 15 - 6
m = 9
∴ m = 9 and n = 6
Hence, the numbers are 9 and 6
