I’m confused on this one
1 answer:
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Answer:
A. 3(x-2)+x=4x+6 has no solution.
Step-by-step explanation:
We are provided the subsequent data in the question:
We evaluate the presented expressions to find which equations have no answer.
1) Image of solved equation is added below.
2) Image of solved equation is added below
3) Image of solved equation is added below
4) Image of solved equation is added below
Equation 1 has no solution.
Answer:
9
Step-by-step explanation:
Given that (1, 2) is the vertex of the function represented by the table of values above, the rate of change for the interval from x = 5 to x = 6.
f(5) = 18
f(6) = ?
=>Find f(6) using the vertex form function, f(x) = a(x - h)² + k
Where, h and k are the given vertex of the function = (1, 2).
h = 1, k = 2
Thus,
f(x) = a(x - 1)² + 2
Find the value of a by using any of the points given in the table.
Using (3, 6), we have the following,
6 = a(3 - 1)² + 2
6 = a(2)² + 2
6 = 4a + 2
Subtract 2 from both sides
6 - 2 = 4a
4 = 4a
Divide both sides by 4
1 = a
a = 1
Let's find f(6) using f(x) = a(x - 1)² + 2
Plug the value of a and x
f(6) = 1(6 - 1)² + 2
f(6) = 25 + 2
f(6) = 27
==>Find the rate of change/slope
f(5) = 18
f(6) = 27
Rate of change =
Rate of change = 9