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Leona [35]
4 years ago
10

What is linear equation? What is quadratic equation?

Mathematics
2 answers:
maw [93]4 years ago
8 0

Answer:

A Linear Equation is an equation of a line. A Quadratic Equation is the equation of a parabola. and has at least one variable squared (such as x2) And together they form a System.

Step-by-step explanation:

mr_godi [17]4 years ago
6 0
  • in the linear equation the greatest power of the variables is 1 for example:2X+4 this is a linear equation as the greatest power of the variable X is 1 also by drawing it in a graph you will obtain a straight line
  • while in the quadratic equation the greatest power is 2 for instance:X^2+4X-3 this is a Quadratic equation because the greatest power of the variable X is 2 also by drawing it on a graph you will obtain a parabola which is a curve "an upward curve or downward curve"

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-3x to the 3rd power and y to the 5th power

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Which graph shows the solution to the system of linear inequalities? y ≥ 2x + 1 y ≤ 2x – 2
Artyom0805 [142]

Answer:

Step-by-step explanation:

Given the two inequalities:

y \ge 2x + 1\\ y \le 2x - 2

To graph them, first of all, let us write their corresponding equations:

y = 2x + 1 \\y = 2x - 2

We now find at least 2 points each which satisfy the equations to plot the graph.

Equation y = 2x + 1:

Putting x = 0, y = 1

Putting y = 0, x = -\frac{1}2.

Two points are (0, 1) and (-\frac{1}2, 0).

Equation y = 2x -2:

Putting x = 0, y = -2

Putting y = 0, x = 1.

Two points are (0, -2) and (1, 0).

Now, let us plot them.

Let us take a point (1, 4) and check whether it satisfies the first inequality.

4 \ge 2 \times 1 +1\\\Rightarrow 4 \ge 3

Which is true.

So, The shaded region will be <em>towards point (1,4).</em>

<em></em>

Let us take a point (1, 4) and check whether it satisfies the second inequality.

4 \le 2 \times 1 -2\\\Rightarrow 4 \le 0\ [\bold{False}]

So, The shaded region will be <em>opposite to point (1,4).</em>

Please refer to the attached graph for the answer.

<em>No solution exists for them because there is no common shaded region</em>.

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Read 2 more answers
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