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Furkat [3]
3 years ago
12

What is the y-intercept of the graph of the equation y=4(3^x)?

Mathematics
2 answers:
eimsori [14]3 years ago
8 0

Answer:

The y-intercept is (0, 4).

Step-by-step explanation:

At the y-intercept x = 0 so

y = 4(3^0)

y = 4*1 = 4.

So the y-intercept is (0, 4).

zmey [24]3 years ago
7 0

Answer:

4, or (0, 4)

Step-by-step explanation:

Set x = 0 and evaluate y=4(3^x):  y(0) = 4(3^0) = 4(1) = 4.

The y-intercept is 4, or (0, 4).

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The function f(x)=x^2 -6x+3 is transformed such that g(x)=f(x-2). Find the vertex of g(x).
Lisa [10]

Answer:

g(x) = (x-2)^2 -6(x-2) +3

g(x) = x^2 -4x +4 -6x +12 +3

g(x) = x^2 -10 x +19

g(x) = x^2 -10 x + 25 +19 -25

g(x) = (x-5)^2 -6

y= (x-h)^2 -kk

Where h,k represent the vertex and we got:

(h,k)= (5,6)

(5,6)

Step-by-step explanation:

We have this original function given :

f(x) = x^2 -6x +3

And we want to find the vertex for this new function g(x) = f(x-2) and we have:

g(x) = (x-2)^2 -6(x-2) +3

And solving the square we got:

g(x) = x^2 -4x +4 -6x +12 +3

And adding similar terms we got:

g(x) = x^2 -10 x +19

Now we can complete the square like this:

g(x) = x^2 -10 x + 25 +19 -25

g(x) = (x-5)^2 -6

The general equation is given by:

y= (x-h)^2 -kk

Where h,k represent the vertex and we got:

(h,k)= (5,6)

(5,6)

5 0
4 years ago
What is the answer to x-9<15
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Answer:

the answer is anything less than 24

Step-by-step explanation:

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Answer:

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picture no 2 is a function.

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The answer should be 20 weeks because if you get her total weekly cost, it equals $11.75, and divide $240.65 by $11.75, you should get 20.4809.

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3!=3*2*1=6 possible permutations/lock combinations she has to check at most.
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