All categories

3 years ago

Write an equation for each exponential function in the form y=abₓ (to the xth power)

Mathematics

1 answer:

GuDViN [60]3 years ago

8 0

Answer:

y = 2 * 9 ^ x

Step-by-step explanation:

From the first point, you can get the value of a, since any number with power 0 with always equal to 1

2 = a(1)
a = 2

Now you have y = (2)(b ^x), use the second point, substitute the value of X and y to (3,1458) to get the B value.

1458 = 2b ^ 3
729 = b ^ 3
B = 9

You might be interested in

Chris is standing due south of a 20m flagpole at a point where the angle of elevation of the top of the pole is 35. Brandyn is s

Airida [17]

Answer:

Brandyn is 41.48m from Chris

Step-by-step explanation:

I have drawn an image depicting this question and I've attached it.

From the diagram, chris is standing at point B while Brandyn is at point D. x is the distance of brandyn to the bottom of the pole.

The height of the pole is AC.

Now, by trigonometric ratio, we can find AC. Thus;

AC/20 = tan 35

AC = 20 tan 35

AC = 14

Since,we now have AC, we can find x.

Similarly, 14/x = tan 27

x = 14 / tan 27

x = 27.48 m

Thus, total distance of brandyn from Chris = 14 + 27.48 = 41.48 m

7 0

2 years ago

Which of the following expressions has a solution of -2

stealth61 [152]

Answer:

j. 1st, 2nd and 3rd

Step-by-step explanation:

hope it helps

please mark as Brainliest

6 0

2 years ago

What is

Romashka [77]

54+ squared root symbol 29 + squared root symbol 778

8 0

2 years ago

Read 2 more answers

A regular tube of toothpaste costs $2.50 for 3.2 ounces. A travel size tube costs $1.00 for 1.2 ounces. Compare the prices and w

Elanso [62]

Answer:

The regular size is more economical.

Step-by-step explanation:

Consider the provided information.

A regular tube of toothpaste costs $2.50 for 3.2 ounces.

Find out the unit rate as shown below:

$\frac{\$2.50}{3.2}=\$0.78$

Therefore, the cost of one ounce is $0.78.

A travel size tube costs $1.00 for 1.2 ounces.

Find out the unit rate as shown below:

$\frac{\$1}{1.2}=\$0.833$

Therefore, the cost of one ounce is $0.833.

From the above calculation we can observe that regular tube toothpaste price is better buy.

Now find the percent as shown:

Firs find the difference

$0.83-$0.78 = $0.05

Therefore,

$\frac{0.05}{0.78}\times 100\approx 6.41$

Hence, regular tube is 6.41% less costly as compare to travel size.

3 0

2 years ago

Kensington charges $20 per hour, h, teaching music lessons. Last year, Kensington earned $37,705, including tips, t. Given this

maw [93]

Answer:B-t=37705-20h

Step-by-step explanation:The answer is B because you need to get rid of all of the money she made working so you subtract 20 by how ever many hours she has worked

5 0

2 years ago

Read 2 more answers