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3 years ago

Find a formula for the exponential function passing through the points (-3,5/64) and (2,80)

Mathematics

1 answer:

koban [17]3 years ago

6 0

Answer:

$5(4)^{x}$

That's the exponential function.

Step-by-step explanation:

Simply just use a graphing calculator (there's plenty of apps and websites that are graphing calculators) and follow these steps.

1) Clear out calculator RAM

2) Press STAT button

3) Press ENTER on EDIT

4) Type the X's in L1 and type the Y's L2.

5) Press STAT again

6) Press the RIGHT ARROW once

7) Press 0

8) Press ENTER

9) There's your exponential function!

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to solve the equation |x-9|=0.5x, kiana graphed the functions f(x)=|x-9| and g(x)=0.5x on the same set of coordinate axes. She t

Pani-rosa [81]

Answer:

The answer is the option D

$f(6)=g(6)$ and $f(18)=g(18)$

Step-by-step explanation:

we have

$f\left(x\right)=\left|x-9\right|$

$g(x)=0.5x$

we know that

The solution of the system of equations is the intersection point both graphs

Using a graphing tool

see the attached figure

The solution are the points $(6,3)$ and $(18,9)$

therefore

The solution of the equation $\left|x-9\right|=0.5x$ are

$x=6, x=18$

For $x=6$

$f\left(6\right)=\left|6-9\right|=3$

$g(6)=0.5(6)=3$

$f(6)=g(6)$

For $x=18$

$f\left(18\right)=\left|18-9\right|=9$

$g(18)=0.5(18)=9$

$f(18)=g(18)$

therefore

$f(6)=g(6)$ and $f(18)=g(18)$ because the intersection points are common points for both graphs

5 0

3 years ago

Read 2 more answers

PLEASE HELP QUICK

Zinaida [17]

More than two is your answer

3 0

3 years ago

Read 2 more answers

Find the LCM of 132 and 60 using Prime Factorization ?

Sav [38]

Answer:

660

Step-by-step explanation:

First, let's find the prime factorization for both numbers.

132 = 11 x 12

12 = 3 x 4

4 = 2 x 2

132 = 2 x 2 x 3 x 11

60 = 5 x 12

12 = 3 x 4

4 = 2 x 2

60 = 2 x 2 x 3 x 5

Now, to find the lowest common multiple, we just need to multiply each number the most times it is seen in either number.

132 = 2 x 2 x 3 x 11

60 = 2 x 2 x 3 x 5

The first number is both is 2, which appears at most twice in either list so we will multiply two 2s to find the LCM.

Both numbers also have at most one 3, one 5, and one 11, so to find our LCM, we just need to multiply all these numbers together:

2 x 2 x 3 x 5 x 11 = 660

The LCM of 132 and 60 is 660.

Hope this helped!

4 0

3 years ago

Consider these functions: f(x)=x+1, g(x)=2/x

mylen [45]

Answer:

A.2/x+1 ............

8 0

3 years ago

Read 2 more answers

to make lemonade you used 1 quart of water 1 pint of lemon juice and 9 oz of your secret ingredient honey how much lemonade did

bixtya [17]

Answer:

3.56 pints

7.125 cups

57 oz

Step-by-step explanation:

water = 1 quart = 32 oz

lemon juice = 1 pint = 16 oz

honey = 9 oz

lemonade = 32 + 16 + 9 = 57 oz

Now 16 oz = 1 pint

So, 57 oz = 3.56 pint

As, 1 cup = 8 oz

So, 57 oz = 7.125 cups

5 0

3 years ago