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kodGreya [7K]
3 years ago
9

Select the scenarios that correctly represent the given graph

Mathematics
1 answer:
sammy [17]3 years ago
7 0

Answer:

Option 1 and option 5.

Step-by-step explanation:

The given graph is a downward parabola. It means the value of function increases and after reaching its maximum point the value of function decreases.

Scenario 1 : The height of a stone shot by a catapult reaches a maximum height and then falls on the ground.

The graph of this scenario is a downward parabola. Therefore option 1 is correct.

Scenario 2 : The speed of a car increases constantly by 10 miles per hour.

The graph of this scenario is a straight line with slope 10. Therefore option 2 is incorrect.

Scenario 3 : The radioactivity of a substance decreases by 10% every year.

The graph of this scenario is an decreasing curve which represents an exponential function. Therefore option 3 is incorrect.

Scenario 4 : The amount of money in an account decreases for a few months and then increases.

The graph of this scenario is a upward parabola. Therefore option 4 is incorrect.

Scenario 5 : The sale of product increases at first and then decreases.

The graph of this scenario is a downward parabola. Therefore option 5 is correct.

Therefore, the correct options are 1 and 5.

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Jorge has a loan of $25,230. This loan
Fed [463]

Answer:

D. $26,743.80

Step-by-step explanation:

25230(1+ .06(1))

type that in a calculator and you will get the correct answer of D.

Also I literally learned this 5 minutes ago and my teacher said I was correct.

7 0
3 years ago
An open-top box with a square base is to have a volume of 4 cubic feet. Find the dimensions of the box (in ft) that can be made
Lemur [1.5K]

Answer:

The dimension of box=2ft\times 2ft\times 1ft

Step-by-step explanation:

We are given that

Volume of box=4 cubic feet

Let x be the side of square base and h be the height of box

Volume of box=lbh=x^2h

4=x^2h

h=\frac{4}{x^2}

Now, surface area of box,A=x^2+4xh

A=x^2+4x(\frac{4}{x^2})=x^2+\frac{16}{x}

\frac{dA}{dx}=2x-\frac{16}{x^2}

\frac{dA}{dx}=0

2x-\frac{16}{x^2}=0

2x=\frac{16}{x^2}

x^3=8

x=2

\frac{d^2A}{dx^2}=2+\frac{32}{x^3}

Substitute x=2

\frac{d^2A}{dx^2}=2+\frac{32}{2^3}=2+4=6>0

Hence, the area of box is minimum at x=2

Therefore, side of square base,x=2 ft

Height of box,h=\frac{4}{2^2}=1 ft

Hence, the dimension of box=2ft\times 2ft\times 1ft

5 0
2 years ago
Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
ella [17]

Answer: 20%??? I don't know Honestly

Step-by-step explanation:

6 0
3 years ago
K +-23 = -100<br>help me
Alex_Xolod [135]

Answer:

-77

Step-by-step explanation:

-77 + -23 = -100

4 0
2 years ago
Graph ​ 24x+25=−6y+7 ​. (if you can please give me the coordinates)
dexar [7]
(-0.75,0)-(0,3) is the answer

7 0
3 years ago
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