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Serjik [45]
3 years ago
7

Write an exponential function to describe the given sequence of numbers, assuming that the first number in the sequence correspo

nds to x = 0.
5.30, 180, 1080, 6480...

Mathematics
1 answer:
Fantom [35]3 years ago
6 0

Answer:

y = 5(6) {}^{x}

Step-by-step explanation:

A exponential function is represented by

y = ab {}^{x}

where a is the vertical stretch and b is the base and x is the nth

power of x

Since the first number corresponds with zero, that means our y intercept is the first number.

This means when x=0 , y=5 so let find the value of 5.

5 = ab {}^{0}

b to the 0th power equal 1 so

5 = a \times 1

a = 5

Our equation is for now

y = 5b {}^{x}

Now let plug in 1,30

30 = 5b {}^{1}

Divide 5 by both sides

6 = b {}^{1}

Anything to the 1st power is itself so b equal 6.

So our equation is

y = 5(6) {}^{x}

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Over which interval does f have an average rate of change zero?
kvv77 [185]

Answer:

Step-by-step explanation:

The average rate of change is the slope. Slope has a formula that is the change in y over the change in x, which is a fraction. The only time a fraction can have a vlue of 0 is where the numerator of the fraction is equal to 0 (since we are not allowed to have a denominator of 0). If the change in y is in the top of the slope fraction, then we have to find the interval where the y values are the same. I'll show you one where the y values are not the same so you can compare it to the slope where the y values are the same. We will find the slope of choice A.

When x = -3, y = 0 so the coordinate is (-3, 0).

When x = 5, y = 5 so the coordinate is (5,4). Now let's find the slope (aka average rate of change) between those 2 coordinates:

m=\frac{4-0}{5-(-3)}=\frac{4}{8}=\frac{1}{2}  and the top of the fraction is a 1, not a 0, so the average rate of change between these 2 points is 1/2, not 0. Now let's do D.

When x = -3, y = 0 so the coordinate is (-3, 0).

When x = -1, y = 0 so the coordinate is (-1, 0). The slope between these 2 points is

m=\frac{0-0}{-1-(-3)}=\frac{0}{2}=0 This fraction is equal to 0 because the numerator is 0. Choice D is the one you want.

5 0
3 years ago
Бу – 20 = 2y – 4 <br> Need explanation on how to work this problem
Lyrx [107]

Answer:

y= 4

Step-by-step explanation:

Okay so this is inverse operations.

You have to move the 2y over underneath the 6y and subtract them, you should get 4y. Your problem should now look like this. 4y-20=-4

Now you need to more the +20 over underneath the -4 and add them. Your problem should now look like this. 4y= 16

You now divide 4 into 16 which will give you 4

So y= 4

Have a good day!

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3 years ago
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Elodia [21]
Honestly idk this question I just need to do this to ask questions :(
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3 years ago
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Ivan

Answer:

C

Step-by-step explanation:

I just saw it it was C

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en un salón de clases se repartió 95 bolsas de dulces cada niño recibe 3 bolsas cuántos niños había en el salón​
evablogger [386]

Sabemos que cada niño recibe tres bolsas, por lo que dividimos 95 entre 3 y obtenemos 31 restantes 2. Debido a esto, sabemos que hay 31 niños y nos sobran 2 bolsas.

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