9. Let x equal the number
Two less than a number is
x - 2
Is more than 15 is
> 15
Put them together for
x-2 > 15
Now solve
x-2 > 15
x > 17
10. Let x equal a number
Seven more than a number is
x+ 7
Is less than or equal to 27 is
<= 27
Put them together for
x + 7 <= 27
Now solve
x+ 7 <= 27
x <= 20
Suppose that this person drives at r mph going to the mountains, and gets there in 12 hours. Returning, this person drives at (r+20) mph and gets home in 8 hours. We don't know the distance yet, but can solve for the initial speed, r, by setting
d = 12r = (r+20)(8). Solving for r, r=40 mph (going) and (40+20)mph = 60 mph (returning. Since d=12 r, d = (12 hrs)(40 mph) = 480 miles (answer).
Answer:
1) decay
2) growth
3) growth
Step-by-step explanation:
A generic exponential function can be written as:
f(x) = A*(r)^x
Where:
A is the initial amount of something.
r is the rate of growth.
x is the variable, usually, represents time.
if r > 1, we have an exponential growth.
if r < 1, we have an exponential decay.
1) f(x) = (3/4)^x
in this case we have:
A = 1
r = (3/4) = 0.75
Clearly, r < 1.
Then this is an exponential decay.
2) f(x) = (1/6)*4^x
In this case we have:
A = (1/6)
r = 4
Here we have r > 1.
Then this is an exponential growth.
3) f(x) = (1/4)*(5/2)^x
in this case we have:
A = 1/4
r = 5/2 = 2.5
here we have r > 1, then this is an exponential growth.
Answer:
<h2>
50°</h2>
Step-by-step explanation:
AB = AC
So, it is a isosceles triangle.
<B = <C = 65°
Sum of angles of triangle = 180°
< A + < B + <C = 180°
plug the values:
X + 65° + 65° = 180°
Calculate the sum
X + 130° = 180°
Move constant to R.H.S and change its sign
x = 180° - 130°
Calculate the difference
X = 50°
Hope this helps...
Good luck on your assignment...
2.0 because if you divide 1.2 by 0.6 it equals 2.0
