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4 years ago

10

Hi! can i get some help? Ramadan Mubarak

1 answer:

tensa zangetsu [6.8K]4 years ago

8 0

Answer:

Mode

Step-by-step explanation:

I believe it is mode because mode is the number which appears most in a group of numbers. In the survey he wants to see the most popular, in other words the highest number of votes on a sandwich. Hope this helped. Ramadan Mubarak to you too, im doing this while fasting.

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Help please!!!!!!!!!!!!!!!!!!!!!!

tresset_1 [31]

F( x ) = 0 => / x / = 0 => x = 0, where -2 <= 0 < 3 ;
x = 0 => f ( 0 ) = / 0 / = 0.

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3 years ago

I have this huge project that is worth half my grade, but my partner won't help at all. What should I do?

marusya05 [52]

Blackmail them. Kidding ask the teacher for a new partner or just do it on your own and tell the teacher to give you all the points then,

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3 years ago

Read 2 more answers

Is 3(-4y) equivalent to 6-4y

Leokris [45]

3(-4y)=6-4y

-12y=6-4y

-8y=6

y=-3/4

So the two expressions are equivalent, if and only if y = -3/4.

5 0

3 years ago

Select the denominator of 4/9

Assoli18 [71]

The denominator is the one on the bottom so 9 is the denominator the top is the numerator

5 0

4 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