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2 years ago

Determine whether each function is an example of exponential growth or decay. Then, find the y -intercept. y=25/7(7/5) x

Mathematics

1 answer:

Olenka [21]2 years ago

7 0

y = 25x / 5 is each function is an example of exponential growth or decay.

What does exponential growth look like in math?

A typical illustration of exponential expansion is population increase. Take a population of bacteria as an example. It seems sense that the rate of population increase would be inversely correlated with the population's size.
After all, the number of bacteria grows more quickly the more there are for them to reproduce.

y= 25/7(7/5) x

y = 25/5 x

y = 25x / 5

Learn more about exponential growth

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Someone please help with parts a b c and d. I will mark brainlest!!!

maria [59]

Answer:

A. 49 feet

B. 66 feet (round to the nearest foot)

C. 4 seg

Step-by-step explanation:

A. What is the height of the ball after 3 seconds?

For $t=3 seg$

$h(3)=-16(3)^{2} +63(3)+4$

$h(3)=-144+189+4\\h(3)=-144+193\\h(3)=49 feet$

B. What is the maximum height of the ball? round to the nearest foot

$h(t)=-16(t)^{2} +63(t)+4\\h'(t)=-32(t) +63\\$

then

$-32(t)+63=0\\t=\frac{-63}{-32}\\t=1.969seg$

For $t=1.969seg$

$h(1.969)=-16(1.969)^{2}+63(1.969)+4\\h(1.969)= 66.016\\h(1.969)=66 feet$

C. When will the ball hit the ground?

The ball will hit the ground when $h(t)=0$

so, $-16t^{2} +63(t)+4=0$

Using the quadratic equation

$t=4seg$

6 0

4 years ago

A bicycle store costs $4500 per month to operate. The store pays an average of $65 per bike. The average selling price of each

maria [59]

Answer: 50 bicycles

Step-by-step explanation:

The breakeven quantity is the amount that must be sold to bring the profit to zero.

You can use the following formula to calculate it:

= Fixed cost / Contribution margin

Fixed cost= $4,500 per month to operate

Contribution margin = Selling price - Variable cost = 155 - 65 = $90

Breakeven = 4,500 / 90

= 50 bicycles

6 0

3 years ago

Flying against the wind, a jet travels 4400mi in 8 hours. Flying with the wind, the same jet travels 5820mi in 6 hours. What is

Anna [14]

<span>distance=6390km; time=9 hrs; rate=710kph
With the wind Data:
distance=5150km; time=5hrs; rate=1030kph
EQUATIONS:

airspeed+jetstream=1030
airspeed-jetstream=710
Subtract these equations to get:
2jetstream=320kph
jetstream=160mph </span>

5 0

3 years ago

How could you use population data to predict the population of your state in 2020?

Solnce55 [7]

If you take population data for each year for a number of years and find the average increase or decrease each year you can add or subtract that average from the latest year to get your answer

8 0

3 years ago

Write an equation of the line that is perpendicular to the line y = 2x + 8, and which passes through the point (6,-2).

krek1111 [17]

Answer:

D. The two triangles are congruent because a translation does not change size and shape.

Step-by-step explanation:

I'm pretty sure that D is the answer. It jut basically moved , didn't change anything.

5 0

4 years ago

Read 2 more answers