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2 years ago

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Mathematics

1 answer:

ivanzaharov [21]2 years ago

8 0

The quadratic regression equation of the table of values is y = 0.71x² - 5.04x + 3.76

<h3>How to determine the regression equation?</h3>

The table of values is given as:

x: 0 1 2 3 4 5 6

y: 4.1 -0.9 -3.9 -5.1 -4.1 -4.1 -1.1

To determine the quadratic regression equation, we make use of a graphing calculator

From the graphing calculator, we have the following calculation summary:

a = 0.7, b = -5.04 and c = 3.76

A quadratic regression equation is represented as:

y = ax² + bx + c

Hence, the quadratic regression equation of the table of values is y = 0.71x² - 5.04x + 3.76

Read more about regression equations at:

brainly.com/question/25226042

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the cost in dollars of a one day car rental is given by C=25+0.15x where x is the number of miles driven

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What do you want? It isn't a question but a statement

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Can someone explain how to convert a quadratic function in standard form to vertex form using the "complete the square" method?

Arisa [49]

The required steps are explained below to convert the quadratic function into a perfect square.

<h3>What is the parabola?</h3>

It's the locus of a moving point that keeps the same distance between a stationary point and a specified line. The focus is a non-movable point, while the directrix is a non-movable line.

Let the quadratic function be y = ax² + bx + c.

The first step is to take common the coefficient of x². We have

$\rm y = a \left (x^2 + \dfrac{b}{a}x \right) + c$

Add and subtract the half of the square the coefficient of x,

$\rm y = a \left (x^2 + \dfrac{b}{a}x + \dfrac{b^2}{4a^2} \right) - a \times \dfrac{b^2}{4a^2} + c$

Then we have

$\rm y = a \left (x + \dfrac{b}{a} \right)^2 - \dfrac{b^2}{4a} + c$

These are the required step to get the perfect square of the quadratic function.

More about the parabola link is given below.

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2 years ago

A company makes video games. The price of a video game is modeled by the function p(x) = 30x + 2, where x is the number of years

atroni [7]

The answer is option C "multiplication." You have the function p(x) = 30x + 2 and x equals the number of years since the company started producing games which has this equation also s(x) = 500x + 250 in order to find the revenue from their video games the company should use the multiplication on the polynomials.

Hope this helps!

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4 years ago

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A farmer sells 8.8 kilograms of apples and pears at the farmer's market. 3 /4 of this weight is apples, and the rest is pears. H

gayaneshka [121]

Answer:

2.2 kg

Step-by-step explanation:

If 3/4 of the weight is apples, the remaining 1/4 is pears. 1/4 of 8.8 is 2.2, so ...

the farmer sold 2.2 kg of pears at the farmer's market.

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3 years ago

If f(x)= 2x-2 and g(x) =x^2 -8x+19, then f(x)=g(x) for what values of x?

frozen [14]

Answer:

24.

Step-by-step explanation:

With composition of functions (as with the order of operations) we perform what is inside of the parentheses first. So, g(3)=2(3)+2=8 and then f(8)=24.

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3 years ago

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