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2 years ago

The points (0,3) and (1,12) are solutions of an exponential function. What is the equation of the exponential function?

Mathematics

1 answer:

AleksandrR [38]2 years ago

6 0

Answer:

Step-by-step explanation:

An exponential function has the form

y = a $(b)^{x}$

Use the given solutions to find a and b

Using (0, 3 ) , then

3 = a $b^{0}$ [ $b^{0}$ = 1 ] , so

a = 3

y = 3 $(b)^{x}$

Using (1, 12 ) , then

12 = 3 $b^{1}$ = 3b ( divide both sides by 3 )

4 = b , then

h(x) = 3 $(4)^{x}$ → A

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Use graph to answer question

forsale [732]

Given:

A figure of a right angle triangle.

To find:

The length of BC.

Solution:

In a right angle triangle,

$\tan \theta =\dfrac{Perpendicular}{Base}$

In the given triangle,

$\tan A =\dfrac{BC}{AC}$

$\tan 23^\circ =\dfrac{BC}{6}$

$0.42447\times 6 =BC$

$2.54682 =BC$

Approximate the value to the nearest hundredth.

$BC\approx 2.55$

Therefore, the measure of side BC is 2.55 units.

6 0

3 years ago

PLEASE PLEWSE PLEASE HELP

Juliette [100K]

Answer:

C) 63°

Step-by-step explanation:

Just add the numbers up together to get your solution

6 0

2 years ago

If a person invests $290 at 6% annual interest, find the approximate value of the investment at the end of 15 years. A. $450 B.

spin [16.1K]

Answer:

$\large \boxed{\sf \bf \ \ C. \ \$ 695 \ \ }$

Step-by-step explanation:

Hello, please consider the following.

At the beginning, we have $290.

After 1 year, we get 290 + 6% * 290 = 290 (1+0.06)= 290 * 1.06

After n years, we get $290\cdot 1.06^n$

So after 15 years, we get.

$290\cdot 1.06^{15}=695.0018...$

Thank you

4 0

3 years ago

What is the answer to<br><br> 6x–2x+8=20

11111nata11111 [884]

Answer:

x = 3

Step-by-step explanation:

First, simplify by subtracting 2x from 6x:

6x - 2x + 8 = 20

4x + 8 = 20

Then, solve for x:

4x + 8 = 20

4x = 12

x = 3

So, the answer is x = 3

5 0

2 years ago

If 6/10 is multiplied by a fraction less than 1,which of these would be an answer 6/10,1/2,3/2,or 5

Pavlova-9 [17]

If $\frac{6}{10}$ is multiplied with a fraction less than 1, out of the given options $\frac{1}{2}$ would be the answer.

Explanation:

First, we need to determine what a fraction lesser than 1 is. If the numerator is lesser than the denominator, the fraction will be lesser than 1 whereas if the denominator is higher than the numerator is would equal more than 1.
If $\frac{6}{10}$ is multiplied with 1, we get the value $\frac{6}{10}$ . Since the fraction must be lesser than 1, $\frac{6}{10}$ cannot be an answer. So option 1 cannot be the answer.
The value of $\frac{6}{10}$ is 0.6. If it is multiplied with any value lesser than 1, the resulting value cannot be higher than the value of 0.6. The value of the fraction $\frac{3}{2}$ is 1.5 and the value of 5 are both greater than 0.6. So the third and fourth options cannot be the answer. So $\frac{1}{2}$ is the answer.

4 0

3 years ago