Equation in point slope form is given by y - y1 = m(x - x1); where m = (y2 - y1)/(x2 - x1).
y - 0 = (6 - 0)/(2 - 4) (x - 4)
y = 6/-2 (x - 4)
y = -3(x - 4)
Answer:
63 houses have been sold this year.
Step-by-step explanation:
There are 81 houses in the community. If 7/9 are sold this year, then all you have to do is multiplication.
In this case, you would multiply 81 by 7/9 to get your answer.
81/1 x 7/9:
Cancel out the 9 and the 81. Then the denominator will be 1 x 1 and the numerator would be 7 x 9. It would be 63 (7x9=63) over 1 (1x1=1) which is just 63. Make sure to include units.
Let
x------> the first even integer
x+2---->the second even integer
x+3---->the third even integer
we know that
-----> equation that represent the situation
solve for x
Combine like terms in the left side


therefore
<u>the answer is the option B</u>

Using the stated transformation, the graph of g(2x) is given at the end of the answer.
<h3>Horizontal stretch and compression</h3>
An horizontal stretch or an horizontal compression happens when a constant is multiplied at the domain of the function, as follows:
g(x) = f(ax).
The definition of stretch or compression depends on the value of the constant a, as follows:
- If a > 1, it is a compression by a factor of 1/a.
- If a < 1, it is a stretch by a factor of 1/a.
In this problem, the rule is:
f(x) = g(2x).
Meaning that f(x) is an horizontal compression by a factor of 1/2 of g(x), and then the vertices are given as follows:
That is, in each vertex, the x-coordinate was divided by 2, and thus the graph with these vertices is given at the end of the answer.
More can be learned about transformations at brainly.com/question/28725644
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