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SVEN [57.7K]
3 years ago
13

Please help!! 20 POINTS!! Give two examples of exponential decay.

Mathematics
1 answer:
Mandarinka [93]3 years ago
7 0

Explanation:

1. Temperature difference (in the absence of additional heat input) will tend to decay toward zero in an exponential way. Usually, heat loss is proportional to temperature difference, meeting the conditions for an exponential decay.

__

2. The rate of decay of a radioactive substance is generally proportional to the amount of that substance, meeting the conditions for an exponential decay.

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A line with a slope of 1 passes through the point (3, 9).what is it’s equation in slope intercept form?
Rufina [12.5K]

Answer: y= x+6

Step-by-step explanation:

The slope has to be 1, which means that the growth will be 1. 9-6=3

6 0
2 years ago
If f(x) = x2 + 7x and g(x) = 3x - 1, what is f(g(x))?
Burka [1]

Answer:

f(g(x)) = 9x^2 + 15x - 6

Step-by-step explanation:

We are using function g(x) = 3x - 1 as the input to function f(x) = x^2 + 7x.

Starting with f(x) = x^2 + 7x, substitute g(x) for x on the left side and likewise substitute x^2 + 7x for each x on the right side.  We obtain:

f(g(x)) = (3x - 1)^2 + 7(3x - 1).

If we multiply this out, we get:

f(g(x)) = 9x^2 - 6x + 1 + 21x - 7, or

f(g(x)) = 9x^2 + 15x - 6

6 0
3 years ago
F(x) = 3x2-2x +1, evaluate:
Bogdan [553]
F(x)=3x^2 - 2x +1
f(-1)=3(-1)^2-2(-1)+1
f(-1)=3( 1 ) +2+1
f(-1)=3+3
f(-1)=6
7 0
3 years ago
Can someone please help me with part b?
gogolik [260]

Answer:

x-intercept(s): (-2, 0), (6, 0)

y-intercept(s): (0, -6)

Step-by-step explanation:

An x-intercept represents the point(s) at which the parabola intersects the x axis.  A parabola can have 0, 1, or 2 x-intercepts.  

A y-intercept represents the point at which the parabola intersects the y axis.  A parabola always has exactly 1 y-intercept.

Hope it helps :) and let me know if you're still confused.

8 0
2 years ago
A baseball player throws a baseball from a height of 1 m above the ground and its height is given by the equation h= -3.2^2+ 12.
Bingel [31]

Answer:

4.1 sec

Step-by-step explanation:

h(t)=-3.2t^2+12.8t+1

h(t)=-3.2(t^2-4t)+1

h(t)=-3.2(t^2-4t+4-4)+1

h(t)=13.8-3.2(t-2)^2

For the ball to touch ground, h(t)=0.

13.8-3.2(t-2)^2=0

(t-2)=2.0766

t=4.07≈4.1 sec.

5 0
3 years ago
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