Which quadratic function has a bigger positive solution?

f(x)=2x^2-32 g(x)=12x^2-48 h(x)=100x^2

explain your answer.

h(x)=100x^2

Hope this helped :D

Simplifying

x = 100x2

Solving

x = 100x2

Solving for variable 'x'.

Combine like terms: 100x2 + -100x2 = 0

x + -100x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.

x(1 + -100x) = 0

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve:

Simplifying

x = 0

Solving

x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying

x = 0

Subproblem 2

Set the factor '(1 + -100x)' equal to zero and attempt to solve:

Simplifying

1 + -100x = 0

Solving

1 + -100x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-1' to each side of the equation.

1 + -1 + -100x = 0 + -1

Combine like terms: 1 + -1 = 0

0 + -100x = 0 + -1

-100x = 0 + -1

Combine like terms: 0 + -1 = -1

-100x = -1

Divide each side by '-100'.

x = 0.01

Simplifying

x = 0.01

Solution

x = {0, 0.01}Simplifying

x = 100x2

Solving

x = 100x2

Solving for variable 'x'.

Combine like terms: 100x2 + -100x2 = 0

x + -100x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.

x(1 + -100x) = 0

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve:

Simplifying

x = 0

Solving

x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying

x = 0

Subproblem 2

Set the factor '(1 + -100x)' equal to zero and attempt to solve:

Simplifying

1 + -100x = 0

Solving

1 + -100x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-1' to each side of the equation.

1 + -1 + -100x = 0 + -1

Combine like terms: 1 + -1 = 0

0 + -100x = 0 + -1

-100x = 0 + -1

Combine like terms: 0 + -1 = -1

-100x = -1

Divide each side by '-100'.

x = 0.01

Simplifying

x = 0.01

Solution

x = {0, 0.01}

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

addition

step-by-step explanation: