Mathematics College

The points (0,2), (1,3), (2,6), and (3,11) are on the graph of a function. Which of the following equations represents that function?
A.h(x)=x^2+2
B.h(x)=0.5x^2+1.5
C.h(x)=2x^2
D.h(x)=x+2

Answers

Answer 1

Given:

The points (0,2), (1,3), (2,6), and (3,11) are on the graph of a function.

To find:

The function.

Solution:

In option A,

[tex]h(x)=x^2+2[/tex]

Putting x=0, 1, 2, 3 respectively, we get

[tex]h(0)=(0)^2+2=2[/tex]

[tex]h(1)=(1)^2+2=3[/tex]

[tex]h(2)=(2)^2+2=6[/tex]

[tex]h(3)=(3)^2+2=11[/tex]

The function passes through the points (0,2), (1,3), (2,6), and (3,11). So, [tex]h(x)=x^2+2[/tex] is the required function.

In option B,

[tex]h(x)=0.5x^2+1.5[/tex]

At x=0,

[tex]h(0)=0.5(0)^2+1.5=1.5\neq 2[/tex]

So, option B is incorrect.

In option C,

[tex]h(x)=2x^2[/tex]

At x=0,

[tex]h(0)=2(0)^2=0\neq 2[/tex]

So, option C is incorrect.

In option D,

[tex]h(x)=x+2[/tex]

At x=2,

[tex]h(2)=(2)+2=4\neq 6[/tex]

So, option D is incorrect.

Therefore, the correct option is A.

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Step-by-step explanation:

hope it help:)

/////////////////////

The trigonometric function gives the ratio of different sides of a right-angle triangle. The length of the ramp is equal to 10ft.

What are Trigonometric functions?

The trigonometric function gives the ratio of different sides of a right-angle triangle.

[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}[/tex]

where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.

The length of the ramp is,

Cos(θ) = Base/Hypotenuse

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The length of the ramp = 9ft/Cos(30°)

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Learn more about Trigonometric functions:

https://brainly.com/question/6904750

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11-
10
9
OP
7
6
Weight (kilograms)
01
NO
X
1
2
3
8
9
10
4 5 6 7
Age (months)
The scatter plot shows the weight of a child each month.
per month.
kilograms. The child gains an average of
The birth weight of the child is
Reset
Next

Answers

Answer:

13 kg

Step-by-step explanation:

I'm 14 years old so my weight was 50 kg

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Answers

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Answers

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Answers

Answer:

Step-by-step explanation:

Your answer

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Mark it as Brainlist answer. Follow me.

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Answers

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