Ask question

Ask question

All categories

2 years ago

15

HELP!!! Which graph best shows the function f(x) = 4(3)−x to represent the rate at which a radioactive substance decays?

1 answer:

bagirrra123 [75]2 years ago

7 0

Answer:

B

Step-by-step explanation:

The exponential function has the form $y = a(b^x)$ where a is the starting value or y-intercept. B is the rate of change and x is the variable typically time. In this situation, $y = 4(3^{-x})$ has starting value 4, rate 3 and a -x.

Normally an exponential curve glides left to right growing steeper as it goes. But a -x flips this behavior. The curve starts very steep then gradually slows down. This means only graphs B or D are options. Since only graph B of these two has a y-intercept at 4, graph B is the solution.

You might be interested in

Jamie kicked a soccer ball that traveled along a path described by the parabola y = -x^2 +8x, where y equals the height of the s

andrey2020 [161]

We have that
<span>y = -x</span>²<span>+8x

we know that
when the ball hint the ground is the x-intercepts of the graph
the x-intercepts is for y=0
so
0=-x</span>²+8x--------> x²-8x=0----> x*(x-8)=0

the solution is
x=0
x=8

the x intercepts are the points (0,0) and (8,0)
the distance between the x intercepts points =[8-0]-----> 8 ft

the answer is
8 ft

see the attached figure

6 0

3 years ago

Read 2 more answers

Please help which system of inequalities is represented by the graph

lapo4ka [179]

Your anwser is c. Y>1 y-x>0

3 0

3 years ago

EMERGENCY PLEASE HELP! Which set of ordered pairs does not represent a function?

lilavasa [31]

Answer:

c.

Step-by-step explanation:

The X value 1 is repeated

7 0

2 years ago

Find the particular solution that satisfies the differential equation and the initial condition.

Vesnalui [34]

Answer:

1) $y =4x^2 +7$

2) $y =7s^2 -3s^4 +181$

Step-by-step explanation:

Assuming that our function is $y = f(x)$ for the first case and $y=f(s)$ for the second case.

Part 1

We can rewrite the expression like this:

$\frac{dy}{dx} =8x$

And we can reorder the terms like this:

$dy = 8 x dx$

Now if we apply integral in both sides we got:

$\int dy = 8 \int x dx$

And after do the integrals we got:

$y = 4x^2 +c$

Now we can use the initial condition $y(0) =7$

$7 = 4(0)^2 +c, c=7$

And the final solution would be:

$y =4x^2 +7$

Part 2

We can rewrite the expression like this:

$\frac{dy}{ds} =14s -12s^3$

And we can reorder the terms like this:

$dy = 14s -12s^3 dx$

Now if we apply integral in both sides we got:

$\int dy = \int 14s -12s^3 ds$

And after do the integrals we got:

$y = 7s^2 -3s^4 +c$

Now we can use the initial condition $y(3) =1$

$1 = 7(3)^2 -3(3)^4 +c, c=1-63+243=181$

And the final solution would be:

$y =7s^2 -3s^4 +181$

7 0

3 years ago

4 5/9 + 2 5/6 + 1 2/3 <br><br><br> ANSWER ASAPPPPP

lubasha [3.4K]

Answer:

9.05

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers