h(t)=(t+3) 2 +5 h, left parenthesis, t, right parenthesis, equals, left parenthesis, t, plus, 3, right parenthesis, squared, plu
lesya692 [45]
Answer:
1
Step-by-step explanation:
If I understand the question right, G(t) = -((t-1)^2) + 5 and we want to solve for the average rate of change over the interval −4 ≤ t ≤ 5.
A function for the rate of change of G(t) is given by G'(t).
G'(t) = d/dt(-((t-1)^2) + 5). We solve this by using the chain rule.
d/dt(-((t-1)^2) + 5) = d/dt(-((t-1)^2)) + d/dt(5) = -2(t-1)*d/dt(t-`1) + 0 = (-2t + 2)*1 = -2t + 2
G'(t) = -2t + 2
This is a linear equation, and the average value of a linear equation f(x) over a range can be found by (f(min) + f(max))/2.
So the average value of G'(t) over −4 ≤ t ≤ 5 is given by ((-2(-4) + 2) + (-2(5) + 2))/2 = ((8 + 2) + (-10 + 2))/2 = (10 - 8)/2 = 2/2 = 1
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To solve, we will need to plug in -5 for x in both instances.
|-5 + 2| / -5 + 2
|-3| / -3
Now, these absolute value bars may be a bit puzzling. What we have to do is take the absolute value of the number inside of the brackets. Meaning, that if the number is negative, we make it positive, and if the number is positive, then it stays positive.
3 / -3
-1
Hope this helps!! :)
P = pizza and c =cakes
Last week: 8p + 13c = 134
Today: 28p + 4c = 220
Let’s take the formula for today and subtract 28p from each side to isolate the 4c.
4c = 220 - 28p
Now divide each side by 4
c = (220 - 28p)/4
Simplify to c = 55 - 7p
Now go to the formula for last week, substitute the c for 55-7p
8p + 13(55 - 7p) = 134
8p + 715 - 91p = 134
Simplify to 715 - 83p = 134
Let’s add 83p to each side.
715 = 134 + 83p
Subtract 134 from each side
581 = 83p
Divide each side by 83
p = $7
Answer:
∠CAB ≅ ∠SAB is not true
Step-by-step explanation:
CPCTC means id ABC = XYZ, than A=X, AB=XY, C=Z and so on. Basically the number numbers that come in the same order as the other one is equal.
So ∠CAS ≅ ∠BAS is true but ∠CAB ≅ ∠SAB is not.
Hope this helps. If you have any follow-up questions, feel free to ask.
Have a great day! :)
Answer:
c. 2x-3
Step-by-step explanation:
factor the 4 into the parenthesis. To do this you multiply 4 by x and then -3. This will give you 4x-12-2x+9. combine like terms and you get 2x-3
