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V125BC [204]
2 years ago
15

What is -2d-2 < 3d+8

Mathematics
1 answer:
OleMash [197]2 years ago
8 0

Answer:

d > -2

Step-by-step explanation:

-2d-2 < 3d+8

3d+8 > -2d-2

3d + 2d > -2 -8

5d > -10

d > -2

<em>Feel free to mark this as brainliest! :D</em>

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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

Click to let others know, how helpful is it

3 0
3 years ago
The power generated by an electrical circuit (in watts) as a function of its current ccc (in amperes) is modeled by: P(c)=-20(c-
alekssr [168]

Answer:

The current that produces maximum power is 3A

Step-by-step explanation:

Given

P(c) = 20(c - 3)^2

Required [Missing from the question]

The current that produces maximum power

First, we represent the function in standard form

P(c) = 20(c - 3)^2

P(c) = 20(c - 3)(c - 3)

Open bracket

P(c) = 20(c^2 -6c+ 9)

P(c) = 20c^2 -120c+ 180

The maximum value of c is:

Max(c) = \frac{-b}{2a}

Where:

f(x) = ax^2 + b^2 + c

By comparison: P(c) = 20c^2 -120c+ 180

a = 20

b = -120

c = 180

So, we have:

Max(c) = \frac{-b}{2a}

Max(c) = \frac{-(-120)}{2 * 20}

Max(c) = \frac{120}{40}

Max(c) = 3

5 0
3 years ago
I will give a thanks
gogolik [260]
Do what is in the parentheses then add
7 0
3 years ago
Which of the following are the correct answers??
Amanda [17]
Either B and D. Both seem pretty random lol
6 0
3 years ago
Read 2 more answers
Please please help i’ll give brainliest tysm :)
Neko [114]

Answer:

C) Between 9 and 13

Step-by-step explanation:

If 40% is 5 gallons, then 20% is 2.5 gallons

If you multiply both by 5, you get 12.5, which is between 9 and 13

Sorry for my weird way of math

3 0
2 years ago
Read 2 more answers
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