if the graph of an exponential function passes through the points (1,6) and (4,48) find an equation of the function

Answers

Answer 1

Answer: one way is trial and error
equation of exonential is
y=a(b^x)
lets try some stuff
one way is trial and error
after 20 minutes we come up with y=3(2^x)

another way is recognizing that this is a sequence
$a_(n)=a_(1)r^(n-1)$
a1=6, cool
sub
a4=48
$48=a_(4)=6r^(4-1)$
$48=6r^(3)$
dividie everybody by 6
$8=r^(3)$
cube root
2=r

therefor

equation is
f(x)=3(2^x) or y=3(2^x)

Answer 2

Answer: When you write an equation of a line, you first have to find the slope. The equation for slope is (y∨2 - y∨1) / (x∨2 - x∨1), so fill that in with your coordinates.

(48 - 6) / (4 - 1) Subtract your two sets.
42 / 3 Divide
14

So, you know the slope of the equation is 14. Now, you fill in the point-slope equation, (y - y∨1) = m(x - x∨1). Fill it in with one set of coordinates and solve.

(y - 6) = 14(x - 1) Distributive Property
y - 6 = 14x - 14 Add 6 to both sides.
y = 14x - 8

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The table below shows the distance d(t) in feet that an object travels in t seconds: t (seconds) d(t) (feet) 2 64 4 256 6 576 8 1024 What is the average rate of change of d(t) between 2 seconds and 6 seconds, and what does it represent? 128 ft/s; it represents the average speed of the object between 2 seconds and 6 seconds 80 ft/s; it represents the average speed of the object between 2 seconds and 6 seconds 128 ft/s; it represents the average distance traveled by the object between 2 seconds and 6 seconds 80 ft/s; it represents the average distance traveled by the object between 2 seconds and 6 seconds

Answers

Answer:

128 ft/s; it represents the average speed of the object between 2 seconds and 6 seconds

Step-by-step explanation:

The average rate of change is another way to say slope.

slope = (y2-y1)/(x2-x1)

= (576-64)/(6-2)

= (512/4)

=128 ft/s

This represents the change in ft per second, or the average speed the object is going during the time period.

Answer:

it's A

Step-by-step explanation:

Find the sum of 362+265.explain why you did or did not regroup.

Answers

362+265=627.You have to regroup because when you add 2 numbers that equal more then 9 they will need extra space so you put it at the top

EDIT:
Order of operations doesn't matter in addition. So you can add them in any order.

How many names are for square

Answers

There are about four other names for a square.

Four names for the square :)

Beth's summer vacation lasted 87 days. At the beginning of her vacation, she spent 3 weeks at soccer camp, 5 days at her grandmother's house, and 13 days visiting Glacier National Park with her parents. How many vacation days remained?

Answers

so 1 week=7 days
3 weeks=7 times 3=21 days

5 and 13
so 87-21-5-13=days left=48 days

Beth has days of vacation.

She spent :
* 3 weeks = 3*7 days = 21 days at soccer camp
* 5 days at her grandmother's house
* 13 days visiting the Park

That makes 21+5+13=39 days.

She thus has 87-39=48 days remaining.

Answer number 15 please

Answers

Dear Mathproblemshurt, to be honest, you never really needed the number of websites in the world. It is for the fact that it asked for the percent of inactive websites and they gave you the fraction of inactive websites. Just do 2/3 to get 33.3%.

22 is 44% of what number?

Answers

Luckily 22 is half of 44 so this is not too hard.
If 44 is 44% 100 and 22 is half of 44, we can just use this info and find half of 100 to give us our answer.
100/2=50
So 22 is 44% of 50

22 is half of 44 by 22 and 22 is 44% of 50

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