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shtirl [24]
2 years ago
11

If a person who is 5 feet tall throws a ball into the air, the path can be modeled using the table of values, where x represents

the time in seconds and y is the height of the ball in feet. x y 0 5 1 6.75 2 8 3 8.75 4 9 5 8.75 which quadratic equation models the data in the table?
Mathematics
1 answer:
Agata [3.3K]2 years ago
6 0

The quadratic equation  is y = -0.15x² + 2x + 5.5 , Option D is the correct answer.

The complete question is

If a person who is 5.5 feet tall throws a baseball into the air, the path can be modelled using the table of values, where x represents the time in seconds and y is the height of the ball in feet.

(table is in the photo below)

Which quadratic equation models the data in the table?

y= −0.25x2 + 2x + 5.5

y= −0.35x2 + 2x + 5.5

y= −0.27x2 + 3x + 5.5

y= −0.15x2 + 2x + 5.5

The quadratic equation represented by the table is y = -0.15x² + 2x + 5.5

<h3>What is an Equation ?</h3>

When  two algebraic expressions are linked with an equal sign , the expression formed is called an Equation.

The standard form of the Quadratic equation is

y = ax² + bx + c

here a, b and c are constants.

From the given data in the table

at point (0, 5.5)

5.5 = a(0)² + b(0) + c          

at point (1, 7.35)

7.35 = a(1)² + b(1) + c    

at point (2, 8.9)

8.9 = a(2)² + b(2) + c    

The system of equations will be solved to determine the value of a,b and c

a= -0.15, b = 2, c = 5.5

Therefore , The quadratic equation  is y = -0.15x² + 2x + 5.5 .

To known more about Equation

brainly.com/question/10413253

#SPJ1

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Answer:

m<1 = 118

Step-by-step explanation:

The remote angles theorem states that when one extends one of the sides of a triangle, the sum of the two non-adjacent angles is equal to the measure of the angle between the extension of the side and a side of a triangle. One can apply this theorem here by stating that

(28) + (90) = m<1

Remember, a box around an angle signifies that its measure is (90) degrees.

Solve this problem by performing the operation,

118 = m<1

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(a) Express the prime number 3 as the difference of two squares? 3= ​
Fed [463]

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2^2 - 1^2

Step-by-step explanation:

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3 years ago
What is the following simplified product? Assume x greater-than-or-equal-to 0 2 StartRoot 8 x cubed EndRoot (3 StartRoot 10 x Su
RideAnS [48]

This is the simplest form 4\sqrt{5}x^3(6\sqrt{x} -\sqrt{2}).

<h2>Exponent</h2>

Exponential notation is the form of mathematical shorthand which allows us to write complicated expressions more succinctly. An exponent is a number or letter is called the base. It indicates that the base is to raise to a certain power. X is the base and n is the power.

<h3>Simplification</h3>

Simplification is to make something easier to do or understand and to make something less complicated.

Given

\rm 2\sqrt{8x^3} * (3\sqrt{10x^4} - x\sqrt{5x^2}  ) is an expression.

<h3>How to make it simple?</h3>

\rm 2\sqrt{8x^3} * (3\sqrt{10x^4} - x\sqrt{5x^2}  )

On simplifying, we have

\rm 4\sqrt{2}  (x)^{\frac{3}{2}} * ( 3\sqrt{10} x^2 - \sqrt{5} x^{\frac{3}{2}})\\\\24\sqrt{5} x^{\frac{7}{2}}  - 4\sqrt{10}x^3\\\\4\sqrt{5}x^3(6\sqrt{x} -\sqrt{2} )\\

This is the simplest form 4\sqrt{5}x^3(6\sqrt{x} -\sqrt{2}).

More about the exponent link is given below.

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Answer:

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