Average rate of change means find the slope of the secant line. So if there is a function f(x) and you want to find the average R.O.C over the interval [a,b], it would be (f(b)-f(a))/(b-a)
1. (f(3)-f(1))/(3-1)= (0-(-2))/2= 1, so D.
2. Same concept; (8-4)/(3-1)=2, so A.
3. Again, (39-(-1))/5= 8, B.
Answer: 948
Step-by-step explanation:
From the question, we are informed that 4-pound pumpkin will yield about 1.5 cups of mashed pumpkin (pumpkin puree).
Therefore, the number of cups of pumpkin puree that Steve Geddes' 2,528-pound pumpkin will yield will be:
= (2528/4) × 1.5
= 632 × 1.5
= 948 cups of pumpkin puree
Answer: False
Step-by-step explanation:
When comparing fractions such as 2/3 and 4/5, you could also convert the fractions (if necessary) so they have the same denominator and then compare which numerator is larger.
Answer:
Yes
Step-by-step explanation:
Triangle inequality theorem states that a triangle can exist if
a + b > c; a + c > b; b + c > a
a = 2; b = 10; c = 11
2 + 10 = 12; 12 > 11.
2 + 11 = 13; 13 > 10.
10 + 11 = 21; 21 > 2.
<span>The function can be described as
b(p)= player receives 10 bonus points
</span>b(p)= p+10<span>
s(p)= increases 5% of the player’s current points
</span>s(p)= <span>p*(100%+5%)= p*1.05
then </span><span> (s ∘ b)(p) would be
</span><span>s(p)= p*1.05
(s ∘ b)(p)= (p+10)*1.05
</span>(s ∘ b)(p)= 1.05p+10.5
