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Lisa [10]
1 year ago
13

Question 3.1.-What does it mean to say that a data set has linear first differences?2.-What is the relationship between the seco

nd difference of a quadratic equation and its associated graph?3.-What does a second difference indicate?
Mathematics
1 answer:
Marat540 [252]1 year ago
4 0

Given:

The second difference of a quadratic equation.

Explanation:

We know that,

The quadratic equation is characterized by the fact that the difference between terms always changes by the same amount.

Consequently, the difference of the differences between the data of the quadratic equation is always the same.

That means, the second difference is constant.

Therefore, the second difference of a quadratic equation indicates the constant value.

Final answer:

The second difference of the quadratic equation indicates a constant value.

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Which equation is a function of x? x = 5 x = y squared 9 x squared = y x squared = y squared 16
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The equation which is a function of x is x²=y.

Given an equation that is a function of x.

A function may be a relation between a collection of inputs and a collection of permissible outputs with the property that every input is said to precisely one output.

If we input a value of x then we get the output f(x) = y, which is the function of x.

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The first option is x=5 in which no term of y is included and its a constant. So, option 1 is not correct.

The second option is x=y²+9 in which y contains a power 2. So, option 2 is not correct.

The third option is x²=y in which y contains power 1. So, option 3 is correct.

The fourth option is x²=y²+16 in which y contains a power 2. So, option 3 is not correct.

Hence, the equation which is a function of x is x²=y.

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2 years ago
A golfer takes a swing from a hill twenty feet above the cup with an initial upwards velocity of 76 feet per second. How long do
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Answer:

t = 5 seconds

Step-by-step explanation:

A golfer takes a swing from a hill twenty feet above the cup with an initial upwards velocity of 76 feet per second.

We need to find how long does it take the ball to land on the ground near the cup.

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-16t^2+76 t+20=0\\\\\text{or}\\\\-4t^2+19t+5=0\\\\-4t^2+20t-t+5=\\\\-4t(t-5)-1(t-5)=0\\\\(t-5)(-4t-1)=0\\\\t=5, t=\dfrac{-1}{4}\ s

Neglecting negative value,

It will take 5 seconds for the ball to land on the ground near the cup.

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