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zubka84 [21]
3 years ago
10

Will give brainliest

Mathematics
2 answers:
Tpy6a [65]3 years ago
4 0
Hi there!

Function " g " after shifting th' graph of function " f " up 5 units :-

g(x) = f(x) + 5

g(x) = 4ˣ - 6 + 5

g(x) = 4ˣ - 1

Hence, Option [ 3. ] : g(x) = 4ˣ - 1 is Correct

~ Hope it helps!
ipn [44]3 years ago
3 0
To shift the function up 5 units, we add 5 to each function value.
  g(x) = f(x) + 5
  g(x) = 4^x - 6 + 5
  g(x) = 4^x - 1 . . . . . matches the 3rd selection
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35y + 14y =<br> please i need help with this asap.
dimaraw [331]

Answer: 35y + 14y = 49y

Step-by-step explanation:

3 0
2 years ago
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A line tangent to the curve f(x)=1/(2^2x) at the point (a, f(a)) has a slope of -1. What is the x-intercept of this tangent?
kirza4 [7]

Answer:

x-intercept = 0.956

Step-by-step explanation:

You have the function f(x) given by:

f(x)=\frac{1}{2^{2x}}   (1)

Furthermore you have that at the point (a,f(a)) the tangent line to that point has a slope of -1.

You first derivative the function f(x):

\frac{df}{dx}=\frac{d}{dx}[\frac{1}{2^{2x}}]  (2)

To solve this derivative you use the following derivative formula:

\frac{d}{dx}b^u=b^ulnb\frac{du}{dx}

For the derivative in (2) you have that b=2 and u=2x. You use the last expression in (2) and you obtain:

\frac{d}{dx}[2^{-2x}]=2^{-2x}(ln2)(-2)

You equal the last result to the value of the slope of the tangent line, because the derivative of a function is also its slope.

-2(ln2)2^{-2x}=-1

Next, from the last equation you can calculate the value of "a", by doing x=a. Furhtermore, by applying properties of logarithms you obtain:

-2(ln2)2^{-2a}=-1 \\\\2^{2a}=2(ln2)=1.386\\\\log_22^{2a}=log_2(1.386)\\\\2a=\frac{log(1.386)}{log(2)}\\\\a=0.235

With this value you calculate f(a):

f(a)=\frac{1}{2^{2(0.235)}}=0.721

Next, you use the general equation of line:

y-y_o=m(x-x_o)

for xo = a = 0.235 and yo = f(a) = 0.721:

y-0.721=(-1)(x-0.235)\\\\y=-x+0.956

The last is the equation of the tangent line at the point (a,f(a)).

Finally, to find the x-intercept you equal the function y to zero and calculate x:

0=-x+0.956\\\\x=0.956

hence, the x-intercept of the tangent line is 0.956

5 0
2 years ago
What is two plus two
Strike441 [17]

well .... 2 + 2 = 4

5 0
2 years ago
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Regina has two electronic files. One has a size of 3.15 MB and the other has a size 4.89 MB. What is the best estimate of the to
timurjin [86]
So,

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If you are rounding to the nearest MB, then it would look like this:
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Because in 3.15, 1 is less than 5, and in 4.89, 8 is greater than or equal to 5.

In my opinion, I would mentally add them to get 8.14 MB, because if you do math well, you can mentally add these things like second nature.  This is really helpful when you go shopping, which I'll bet you will be doing profusely.
6 0
3 years ago
Find the x and y intercepts of y=3/4x-7
erik [133]

Answer:

x=4y+28/3

Hope this helped.

I hate asking for things but May I have Brainliest I need to rank up.

Step-by-step explanation:

5 0
3 years ago
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