Geometry: Can someone explain this one. Only if you know the answer please. Thanks. (It's not AAA)

Can someone help me please i didnt learn this

OLga [1]

Answer:

1.) Exponential Growth

2.) Exponential Decay

3.) Exponential Growth

4.) Exponential Decay

Step-by-step explanation:

1.) f (x) = 0.5 (7/3)^x

↓

always increasing

2.) f (x) = 0.9 (0.5)^x

↓

always decreasing

3.) f (x) = 21 (1/6)^x

↓

always increasing

4.) f (x) = 320 (1/6)^x

↓

always decreasing

EXPLANATION:

It's exponential growth when the base of our exponential is bigger than 1, which means those numbers get bigger. It's exponential decay when the base of our exponential is in between 1 and 0 and those numbers get smaller.

7 0

3 years ago

A rocket is launched straight up from the ground with an initial velocity of 192 feet per second. The equation for the height of

Ivenika [448]

The equation for the height of the rocket at time t given

$h= -16t^2+192t$

We have to find the time t, when the rocket reaches 560 feet.

That means we have to find t when h = 560 ft. we will place 560 in the place of h to find t now.

$h= -16t^2+192t$

$560 = -16t^2+192t$

In the right side, we can check -16 is the common factor. So we will take out -16 from the rigbht side.

$560 = -16(t^2 - 12t)$

To get rid of -16 from the right side and move it to left side, we will divide both sides by -16.

$560/-16 = -16(t^2-12t)/-16$

$-35 = t^2 -12t$

Now we will move -35 to the righ side by adding 35 to both sides.

$-35+35 = t^2-12t+35$

$0 = t^2 -12t+35$

$t^2-12t+35 = 0$

We will factorize thee left side to find the values of t now. We need to find a pair of factors of 35 that by adding them we will get -12.

The pair of factors of 35 are -5 and -7 and by adding -5-7 we will get -12.

$t^2-12t+35 =0$

$(t-5)(t-7) =0$

So by using zero product property we will get

$t-5 =0$

$t-5+5 = 0+5$

$t=5$

Also $t-7 =0$

$t-7+7 = 0+7$

$t=7$

So we have got the rocket reaches at 560ft when t = 5 seconds and also when t = 7 seconds.

Now part b.

When the rocket completes its trajectory and hits the ground then the height or h = 0. So we will place h = 0 there in the equation.

$h= -16t^2+192t$

$0= -16t^2 + 192 t$

$0 = -16(t^2-12t)$

$-16(t^2-12t) = 0$

We will move -16 to the other side by dividing it to both sides.

$-16(t^2-12t)/-16 = 0/-16$

$t^2-12t = 0$

We will take out the common factor t from the left side. By taking out t we will get,

$t(t-12) = 0$

We will use zero product property now. By using that we will get,

$t = 0$

ans also $t-12 = 0$

$t-12+12 = 0+12$

$t = 12$

When the rocket completes its trajectory and hits the ground the time t can not be 0. When t =0, the rocket starts the trajectory.

So when the rocket completes its trajectory and hits the ground ,

then t = 12seconds.

So we have got the required answers.

6 0

3 years ago

There are 20 pieces of fruit in a fruit bowi and 12 of them are apples. What percentage of the pieces of fruit in the bowl are a

denis-greek [22]

Answer:60 %

Step-by-step explanation:

<h3>if we set up an proportion, $\frac{20}{100}$ = $\frac{12}{x}$ the answer is 60. </h3><h3>100x12=1200</h3><h3>1200 divded by 20 =60</h3>

4 0

3 years ago

Explain how a(b + c) can be rewritten as (b + c)a and as ba + ca.

jenyasd209 [6]

Answer:

#UseDistributiveProperty

Step-by-step explanation:

6 0

3 years ago

4. A restaurant charges $9.95 for a large pizza with two toppings, and $1.25 for

bearhunter [10]

Answer:

3 toppings is the answer

Step-by-step explanation:

3 0

3 years ago

Geometry: Can someone explain this one. Only if you know the answer please. Thanks. (It's not AAA) ​

Geometry: Can someone explain this one. Only if you know the answer please. Thanks. (It's not AAA)