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4 years ago

For the function f(x) = 3^-x calculate the following values: f(2) = f(3) =

Mathematics

1 answer:

Tcecarenko [31]4 years ago

7 0

Answer:

f(x) = 3^-x

f(2) = 3^-2 = 1/3^2 = 1/9

f(3) = 3^-3 = 1/3^3 = 1/27

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This figure represents a platform on a stage. The stage crew needs to paint it black. One gallon of paint will cover 40 square y

ICE Princess25 [194]

Answer:

Step-by-step explanation:

I took the test.

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2 years ago

Which are the x-intercept and y-intercept of the line drawn through the points A and B?

ladessa [460]

First you have to figure out what the equation of the line is. Let's use the slope formula to find the slope, and then one of the points to find the y-intercept. We'll put the line's equation in y=mx+b form.

$slope = \frac{ y_{2} - y_{1} }{ x_{2} - x_{1} } \\ slope = m \\ m = \frac{5 - 1}{-7 - 1} \\ m = \frac{4}{-8} \\ m = - \frac{1}{2}$

Now, we'll use that slope in y=mx+b form with one of the coordinates in order to find what b (which is also the y-intercept) equals
$y = - \frac{1}{2}x + b \\ 1 = 1(- \frac{1}{2}) + b \\ 1 = - \frac{1}{2} + b \\ 1 \frac{1}{2} = b$

therefore your y-intercept is equal to 1.5. In order to find the x-intercept we'll take our new equation $y = - \frac{1}{2} + 1 \frac{1}{2}$ and make y = 0, because the line intersects with the x-axis when y is equal to zero.

$y = - \frac{1}{2}x + 1 \frac{1}{2} \\ 0 = - \frac{1}{2}x + 1 \frac{1}{2} \\ -1 \frac{1}{2} = - \frac{1}{2}x \\ x = 3$

therefore, your x-intercept is 3 and your y-intercept is 1.5

6 0

3 years ago

8/12+1/4<br><br>ayuda por favor es para hoy

navik [9.2K]

The answer is 11/12 , when getting the answer you have to get common denominator so you’d do 1/4 X 3 and you’ll get 3/12 then after all you do is add the numerator , hope this helped !

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3 years ago

In high school, some students have been confused to believe that 22/7 is already the actual value of π or an acceptable approxim

jarptica [38.1K]

Answer:

Since it has smaller absolute and relative errors, 355/113 is a better aproximation for $\pi$ than 22/7

Step-by-step explanation:

The formula for the absolute error is:

Absolute error = |Actual Value - Measured Value|

The formula for the relative error is:

Relative error = |Absolute error/Actual value|

I am going to consider the actual value of $\pi$ as 3.14159265359.

In the case of 22/7:

22/7 = 3.14285714286.

Absolute error = |3.14159265359 - 3.14285714286| = 0.00126448927

Relative error = 0.00126448927/3.14159265359 = 0.00040249943 = 0.04%

In the case of 355/113

355/113 = 3.14159292035

Absolute error = |3.14159265359 - 3.14159292035| = 0.00000026676

Relative error = 0.00000026676/3.14159265359 = 0.000000085 = 0.0000085%

Since it has smaller absolute and relative errors, 355/113 is a better aproximation for $\pi$ than 22/7

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4 years ago

Pls help I've gotten every question wrong

Jlenok [28]

4 pack: 13/4=3.25
5 pack: 16/5=3.2
8 pack: 28/8= 3.5

the 5 pack is the cheapest per bulb so it has the best value

3 0

3 years ago