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3 years ago

Consider the graph of the expotential function y= 3(2)^x

Mathematics

1 answer:

victus00 [196]3 years ago

8 0

Answer:

<h2>y-intercept = 3</h2><h2>x-intercept - not exist</h2><h2>the graph is increasing</h2>

Step-by-step explanation:

The exponential function:

$f(x)=b(a)^x$

has y-intercept for x = 0

hasn't x-intercept

if a > 1, then is increasing

if 0 < a < 1, then is decreasing

We have

$y=3(2)^x$

a = 2 >1 - increasing

for x = 0:

$y=3(2)^0=3(1)=3$

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The height of a tree is 8 metres, correct to the nearest metre.

finlep [7]

B or D i calculated the answer and it was between B and D

8 0

3 years ago

It takes Max 1 minute and 45 seconds to run around a track once. It takes Max 3 minutes to walk one lap on the same track. If Ma

devlian [24]

Answer:

4 laps running

Step-by-step explanation:

Les r be the number of laps he completed running an w the number of laps he walked. Also, lets write all in seconds, which can be a little easier than working with minutes.

Then, as it takes him 1:45 minutes by running, and we know that 1 minute is equal to 60 seconds, we can say it takes him 60+45=105 seconds to run a lap. Then, as it takes him 3 minutes to walk a lap we can say it takes him 3*60=180 seconds to walk a lap.

Thus, in total the minutes he needs if he runs r laps and walk w laps is:

time = 105 r + 180 w

As we know he did his laps in 25 minutes, which are equivalent to 25*60=1500 seconds:

105 r + 180 w = 1500 [equation 1]

We also know he completes 10 laps, which means that"

r + w = 10 [equation 2]

We can subtract w (or r) in both sides of equation 2 to get the value of r as a function of w:

r = 10 - w [equation 2']

Then we can plug equation 2' in equation 1 leaving all in terms of w:

105 r + 180 w = 1500

105 (10 - w) + 180 w = 1500

1050 - 105 w + 180 w = 1500

1050 + 75 w = 1500

If we subtract 1050 in both sides:

75 w = 1500 - 1050

75 w = 450

Dividing both sides by 75 we get the value of w:

w = 450/75

w = 6

So, he walked 6 laps. Then, he must have run the remaining 4 laps.

7 0

3 years ago

2 divided by 1 third

BARSIC [14]

2 divided by 1 third

2 divided by 1/3

always flip over the second fraction when dividing

2*3/1=6

6/1=6

answer:

5 0

3 years ago

19. Danielle earns a 7.25% commission on

EastWind [94]

Answer:

2,365.31

Step-by-step explanation:

since she earns $750 a week you subtract 750 from 1,076.25 which leaves you with 326.25 so you take the 326.25 an multiply it with 0.0725 and you get 2,365.3125 but you round it to 2,365.31, so that number is how much money worth of stuff she sold last week

3 0

3 years ago

A triangular prism is 13 meters long and has a triangular face with a base of 12.6 meters and a height of 16.6 meters. What is t

kolbaska11 [484]

Answer:

1359.54m^3

Step-by-step explanation:

The formula for the volume of a triangular prism is:

1/2( $b \times l )\times h$

<em>l = length</em>

<em>h</em><em>= </em><em>height</em>

Step 1: Plug the numbers into the formula

1/2(12.6*13)*16.6

Step 2: Simplify

163.8*16.6

1359.54

Step 3: Add units

The units used in the question were in meters, so the answer is also in meters.

Volume is always cubed, so it would be to the third power...1359.54m^3

If this answer helped you, I would greatly appreciate if you gave me brainliest :D.

5 0

2 years ago