The correct answer is D. k= 3
Explain
First , point ( x,y) by factor k
It will become (x/k,y)
The vertex is (-3,-3) of f(x)
And the other vertex is (-1,-3) of g(x)
-1,-3)= (-3/3 ,3)
So the dilation factor is 3
(-1,-3) = (-3 x 1/3 ,3)
Factor is k
g(x)= f(1/3 x)
So k = 3
Because the graph have shrunk f(x) by factor 3
I Hope this make sense to you
Glad I can help you :D
Answer:
324 square inches
Step-by-step explanation:
In this case;
we are given a trapezoidal heart;
Height is 12 inches
Bases are 24 inches and 30 inches
We are required to determine the space the trapezoidal heart will take;
We are going to determine its area;
Area of a trapezoid is given by;
Area = 0.5 h (a +b)
where a and b are the bases
Therefore;
Area = 0.5 × 12 (24 + 30)
= 324 square inches
Therefore, the trapezoidal heart will take up an area of 324 square inches
Answer:
Step-by-step explanation:
<span>Alright, here's your answer.
y-intercept is computed (not found) by assigning x = 0 and computing y: here that is f(0) = Log(2*0 + 1) – 1 = Log(1) – 1 = 0 – 1 = -1
y-intercept is (0, -1)
x-intercept is computed by solving f(x) = 0 for x: here that is
0 = Log(2x + 1) – 1 → 1 = Log(2x + 1)
Assuming the Log cited is base 10, then 10^1 = 10^Log(2x + 1) = 2x + 1
That’s 10 = 2x + 1
Therefore 9 = 2x
x = 9/2 = 4.5
Check this result in the original equation, I did!
Your answer is - x-intercept is (4.5, 0)
I hope I helped! :)
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