A word to the wise: It's <span> f(x)=125(0.9)^x, where ^ represents exponentiation.
In this case the ave. value over the interval [11, 15] is
125(0.9)^15 - 125(0.9)^11
------------------------------------- = (125/4) [ 0.9^15 - 0.9^11)
15 - 11 = (31.25) [ 0.2059 - 0.3138 ] = a negative result
= (31.25)(-0.1079) = -3.372 (av. r. of c.
over the interval [11,15] )
Do the same thing for the time interval [1,5]. Then compare the two rates of change.</span>
F(x) = x/4
so
f(-8) = -8/4 = -2
answer
f(-8) = -2
Answer:
x ≈ 20.42, y ≈ 11.71
Step-by-step explanation:
Using the cosine ratio on the right triangle on the right, that is
cos20° = 
= 
Multiply both sides by y
y × cos20° = 11 ( divide both sides by cos20° )
y = 
≈ 11.71
Using the sine ratio on the right triangle on the left, that is
sin35° = 
= 
= 
Multiply both sides by x
x × sin35° = 11.71 ( divide both sides by sin35° )
x = 
≈ 20.42
Answer:
R. 25m + 10b = 400
Step-by-step explanation:
25m: $25 for time the mow the lawn
10b: $10 for every hour that they babysit their younger brother
400: They need $400 in total
+ : You need to add what they made for mowing the lawn and for babysitting.
D
You figure out the absolute value by determining how far the number is from the point 0 on a number line.
