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svet-max [94.6K]
2 years ago
10

Consider the graph of the quadratic function. Which

Mathematics
1 answer:
SashulF [63]2 years ago
6 0

Using the rate of change concept, it is found that it will be negative on the interval in which the function is decreasing.

<h3>What is the rate of change of a function?</h3>

The rate of change, considering two points, is given by the <u>change in the output divided by the change in the input</u>.

Hence:

  • If the rate is negative, the function is decreasing.
  • If the rate is positive, the function is increasing.

More can be learned about the rate of change of a function at brainly.com/question/24313700

#SPJ1

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AlexFokin [52]

Answer:

1.) L=5 W=4 H=1. 2.)L=5 W=4 H=2. 3.)L=5 W=4 H=5

Step-by-step explanation:

you look at the sides and the front and count the cubic units

5 0
3 years ago
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Mr. Castillo spent $20.00 of the $40.00 in his wallet. Which decimal represents the fraction of the $40.00 Mr. Castillo spent?
NNADVOKAT [17]

Answer:

0.5

Step-by-step explanation:

hope that helps

3 0
3 years ago
Let P(t) be a population at time t. A simple population model supposes the rate of growth of the population is proportional to t
jeka94

Answer:

(a) \dfrac{dP}{dt} =k P(t)\\(b)P(t)=Ce^{kt}

(c)P(10)\approx 272

(ii)P(1000)\approx 26.88 \times 10^{44}\\

Step-by-step explanation:

(a)The rate of growth of the population is proportional to the population, this is written as:

\dfrac{dP}{dt} \propto P(t)\\$Introducing our proportionality constant, k\\ \dfrac{dP}{dt} =k P(t)

(b)

\dfrac{dP(t)}{P(t)} =k dt\\$Take the integral of both sides\\\int \dfrac{dP(t)}{P(t)} =\int k dt\\\ln P(t)=kt+C, $C a constant of integration\\Take the exponential of both sides\\e^{\ln P(t)}=e^{kt+C}\\P(t)=e^{kt}\cdot e^C  $, (Since e^C$ is a constant, we then have:)\\P(t)=Ce^{kt}

(c)

Suppose the net birthrate of the population is .1, and the initial population is 100.

k=0.1

P(0)=100

Substitution into P(t) gives:

100=Ce^{kX0}

C=100

Therefore:

P(t)=100e^{0.1t}

(i)When t=10

P(10)=100e^{0.1 \times 10}\\=271.8\\\approx 272

(ii)When t=1000

P(1000)=100e^{0.1 \times 1000}\\=26.88 \times 10^{44}\\

8 0
4 years ago
Find the inverse of the function.<br><br> f(x) = x3 - 3
Stells [14]

Answer:

m=3

Slope of x3-3: \frac{x+3}{3}

Step-by-step explanation:

m=3

Slope of x3-3: \frac{x+3}{3}

Down is the slope

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7 0
3 years ago
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Rewrite in simplest terms: (-8x + 5) - (x – 7)​
Ilia_Sergeevich [38]

Answer:

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Step-by-step explanation:

(-8x + 5) - (x – 7)​

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