MATHEMATICS HIGH SCHOOL

Which system of equations can be graphed to find the solution(s) to 4x2 = x2 – 7?

Answers

Answer 1

Answer:

$4x^2 = x^2 - 7$

In order to find the solution by graphing we need to make two equation with x and y terms

we use Left hand side 4x^2 for first equation and right side x^2 -7 for second equation.

So the equation becomes

first equation $y=4x^2$

Second equation $y= x^2 - 7$

$y= x^2 \ and \ y= x^2-7$ are the system of equations that can be graphed to find solution

Answer 2

Answer:

The system of equations that can be graphed to find the solutions of the equation $4{x^2} = {x^2} - 7$ are $\boxed{y = 4{x^2}{\text{ and }}y = {x^2} - 7}.$

Further explanation:

Given:

The equation is $4{x^2} = {x^2} - 7.$

Explanation:

The given equation is $4{x^2} = {x^2} - 7.$

The left hand side of the equation is $4{x^2}$

The right hand side of the equation is ${x^2} - 7.$

Consider the left hand side as $y$ .

$y = 4{x^2}$

Consider the right hand side as $y$ .

$y = {x^2} - 7$

The two equations are $y = {x^2} - 7$ and $y = 4{x^2}$

The system of equations that can be graphed to find the solutions of the equation $4{x^2} = {x^2} - 7$ are $\boxed{y = 4{x^2}{\text{ and }}y = {x^2} - 7}.$

Learn more:

Learn more about inverse of the function brainly.com/question/1632445.
Learn more about equation of circle brainly.com/question/1506955.
Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Linear equation

Keywords: system of equations, roots, equation, 4x2 = x2 - 7, zeros, find the roots, graphed, solutions, polynomial, left hand side, right hand side, graphical, factors, function, polynomials, quadratic equation.

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Answers

Step-by-step explanation:

(i)

-2/5 = -4/10 = -6/15 = -8/20

(ii)

3/7 = 6/14 = 9/21 = 12/28

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Answers

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Answers

31 - as the difference (starting from 1) increases by 1

so:

3,+1=4,+2=6,+3=9,+4=13,+5=18,+6=24,+7=31,

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Answers

Answer: True

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the drama club held tryouts for 6 roles in a one-act play. five people auditioned for lead female, 3 for lead male, 8 for the best friend, 4 for the mother, 2 for the father, and 3 of the humorous aunt. how many different casts can be created from those who auditioned?

Answers

There are 2,880 different casts that can be created from those who auditioned.

To calculate the number of different casts that can be created, we need to multiply the number of options for each role.

For the lead female role, there are 5 options.

For the lead male role, there are 3 options.

For the best friend role, there are 8 options.

For the mother role, there are 4 options.

For the father role, there are 2 options.

For the humorous aunt role, there are 3 options.

To find the total number of possiblecasts, we multiply the number of options for each role:

5 x 3 x 8 x 4 x 2 x 3 = 2,880

Therefore, there are 2,880 different casts that can be created from those who auditioned.

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f(x) = (x –1)2 – 7

f(x) = (x +1)2 – 7

f(x) = (x –1)2 – 5

f(x) = (x +1)2 – 5