Maths-

General

Easy

Question

Rewrite the equation as a system of equations, and then use a graph to solve.
$0.5 x squared plus 4 x equals negative 12 minus 1.5 x$

hint Hint:

A graph is a geometrical representation of an equation or an expression. It can be used to find solutions of equation.
We are asked to rewrite the equation as system of equations and graph them to solve it.

The correct answer is: We are asked to rewrite the equation as system of equations and graph them to solve it.

Step 1 of 3:
Equate each side of the equation to a new variable, y:
$table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell 0.5 x squared plus 4 x equals y end cell row cell negative 12 minus 1.5 x equals y end cell end table$
Step 2 of 3:
Find three points of the equation, $0.5 x squared plus 4 x equals y$ ;
When x = 0,
$table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell 0.5 x squared plus 4 x equals y space space space end cell row cell 0.5 left parenthesis 0 right parenthesis plus 4 left parenthesis 0 right parenthesis equals y end cell row cell 0 equals y space space space space space space space space space space space space space space space space space space end cell end table$
when x = -1,
$Error converting from MathML to accessible text.$
when x = 1,
$Error converting from MathML to accessible text.$
Thus, the required points are, (0, 0) (-1, -3.5) and (1, 4.5).
Find two points of the equation -12 - 15x,
When x = 0,
$Error converting from MathML to accessible text.$
when x = 1,
$Error converting from MathML to accessible text.$
Thus, the points are: (x = -12) and (1,-13.5)
Step 3 of 3:
Plot the points and join them to get the respective graph.

Here we get two points where both the graphs intersect each other. The points are (-8, 0) and (-3, -7.5). Thus, we can say that the solutions to the given set of equation are the points of intersection.

When you graph a quadratic equation find three coordinate points to get the curve. But when it is a linear equation, just two points would give the path of the line.

Rewrite the equation as a system of equations, and then use a graph to solve.
$x squared minus 6 x equals 2 x minus 16$

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$4 x squared equals 2 x minus 5$

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$y equals 2 x squared plus 5 x minus 30$
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"My wife buys a new television for my father”

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If Rs. 4000 amounts to Rs. 4500 in 2 years, find how much would it amount in 5 years at the same rate of interest?

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$y equals x squared plus 8 x plus 30$
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At what rate percent per annum will a sum of money double itself in 10 years?

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Find the solution of the system of equations.
$y equals x squared plus 6 x plus 9$
y = 3x

It is not necessary for every set of equation to have solutions. If you graph them and get not intersecting points, then they have no real solutions.

Find the solution of the system of equations.
$y equals x squared plus 6 x plus 9$
y = 3x

Maths-General

It is not necessary for every set of equation to have solutions. If you graph them and get not intersecting points, then they have no real solutions.

General

Choose the synonyms of 'research'

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Rewrite the equation as a system of equations, and then use a graph to solve.

A graph is a geometrical representation of an equation or an expression. It can be used to find solutions of equation. We are asked to rewrite the equation as system of equations and graph them to solve it.

The correct answer is: We are asked to rewrite the equation as system of equations and graph them to solve it.

Related Questions to study

Rewrite the equation as a system of equations, and then use a graph to solve.

Rewrite the equation as a system of equations, and then use a graph to solve.

Find the simple interest on Rs. 6500 at 14% per annum for 73 days?

Find the simple interest on Rs. 6500 at 14% per annum for 73 days?

Rewrite the equation as a system of equations, and then use a graph to solve.

Rewrite the equation as a system of equations, and then use a graph to solve.

Rewrite the equation as a system of equations, and then use a graph to solve.

Rewrite the equation as a system of equations, and then use a graph to solve.

Find the simple interest on Rs. 8000 at 16 % per annum for 9 months?

Find the simple interest on Rs. 8000 at 16 % per annum for 9 months?

The simple interest on a sum of money at the end of 5 years is of the sum. Find the rate of interest?

The simple interest on a sum of money at the end of 5 years is of the sum. Find the rate of interest?

Find the solution of the system of equations.y = 2x + 5

Find the solution of the system of equations.y = 2x + 5

Format the sentence into converts Spanish grammar. "My wife buys a new television for my father”

Format the sentence into converts Spanish grammar. "My wife buys a new television for my father”

Find the helping Verbs and Action Verbs in the following sentences.

Find the helping Verbs and Action Verbs in the following sentences.

If Rs. 4000 amounts to Rs. 4500 in 2 years, find how much would it amount in 5 years at the same rate of interest?

If Rs. 4000 amounts to Rs. 4500 in 2 years, find how much would it amount in 5 years at the same rate of interest?

Find the solution of the system of equations.

Find the solution of the system of equations.

Find the solution of the system of equations.y = 5 - 2x

Find the solution of the system of equations.y = 5 - 2x

At what rate percent per annum will a sum of money double itself in 10 years?

At what rate percent per annum will a sum of money double itself in 10 years?

Find the solution of the system of equations.y = 3x

Find the solution of the system of equations.y = 3x

Choose the synonyms of 'research'

Choose the synonyms of 'research'

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Rewrite the equation as a system of equations, and then use a graph to solve.
$0.5 x squared plus 4 x equals negative 12 minus 1.5 x$

A graph is a geometrical representation of an equation or an expression. It can be used to find solutions of equation.
We are asked to rewrite the equation as system of equations and graph them to solve it.

Rewrite the equation as a system of equations, and then use a graph to solve.
$x squared minus 6 x equals 2 x minus 16$

Rewrite the equation as a system of equations, and then use a graph to solve.
$x squared minus 6 x equals 2 x minus 16$

Rewrite the equation as a system of equations, and then use a graph to solve.
$2 x squared plus 3 x equals 2 x plus 1$

Rewrite the equation as a system of equations, and then use a graph to solve.
$2 x squared plus 3 x equals 2 x plus 1$

Rewrite the equation as a system of equations, and then use a graph to solve.
$4 x squared equals 2 x minus 5$

Rewrite the equation as a system of equations, and then use a graph to solve.
$4 x squared equals 2 x minus 5$

Find the solution of the system of equations.
$y equals 2 x squared plus 5 x minus 30$
y = 2x + 5

Find the solution of the system of equations.
$y equals 2 x squared plus 5 x minus 30$
y = 2x + 5

Format the sentence into converts Spanish grammar.
"My wife buys a new television for my father”

Format the sentence into converts Spanish grammar.
"My wife buys a new television for my father”

Find the solution of the system of equations.
$y equals 3 x squared plus 2 x plus 1$
$y equals 2 x plus 1$

Find the solution of the system of equations.
$y equals 3 x squared plus 2 x plus 1$
$y equals 2 x plus 1$

Find the solution of the system of equations.
$y equals x squared plus 8 x plus 30$
y = 5 - 2x

Find the solution of the system of equations.
$y equals x squared plus 8 x plus 30$
y = 5 - 2x

Find the solution of the system of equations.
$y equals x squared plus 6 x plus 9$
y = 3x

Find the solution of the system of equations.
$y equals x squared plus 6 x plus 9$
y = 3x