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nydimaria [60]
3 years ago
9

The other two options are…

Mathematics
1 answer:
Sunny_sXe [5.5K]3 years ago
8 0
It’s B

Explanation: use desmos or trust me lol
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I need an quick answer to this question please help
Vladimir79 [104]

Answer: 17% 0.175 2/111/5

Step-by-step explanation:

3 0
2 years ago
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
3 years ago
Which represents the solution(s) of the system of equations, y = -x2 + 6x + 16 and y = - 4x + 37? Determine the solution set
AysviL [449]

Answer:

The answer is c

Step-by-step explanation:

(7,9) (3,25)

3 0
3 years ago
All of the following are equal except<br> the opposite of 5<br> 0 -1-51<br> O-151<br> O 1-51
exis [7]

Answer:

i don't get the way you wrote it

Step-by-step explanation:

5 0
3 years ago
Please please help help please please ASAP
krek1111 [17]

Answer:

false

Step-by-step explanation:

The horizontal axis is the x axis.

I don't really know what your school wants in the blank but here's what I think it is:

The horizontal axis on the coordinate grid is the x axis.

Hope this helps! let me know if its right!

7 0
3 years ago
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