Solve the following quadratic equation for all values of x in simplest form. 20+ 2x= 28

Mathematics

1 answer:

n200080 [17]2 years ago

6 0

Answer:

x = 4

Step-by-step explanation:

To solve, we need to isolate x.

Start by moving the 20 to the other side by subtracting it from both sides.

2x = 8

Since x is being multiplied by 2, we need to divide both sides by 2 to move it to the other side.

x = 4

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Direction: Determine whether the given point is a solution to the given system of linear inequalities.

Ann [662]

Answer:

The given point is a solution to the given system of inequalities.

Step-by-step explanation:

Again, we can substitute the coordinates of the given point into the system of inequalities. We know that the x-coordinate and y-coordinate of $(3,2)$ are $x=3$ and $y=2$ , respectively.

Plugging these values into the first inequality, $y\leq x+3$ , gives us $2\leq 3+3$ , which simplifies to $2\leq 6$ . This is a true statement, so the given point satisfies the first inequality. We still need to check if it satisfies the second inequality though, because if it doesn't, it won't be a solution to the system.

Plugging the coordinates into the second inequality, $y\geq -x+3$ , gives us $2\geq -3+3$ , which simplifies to $2\geq 0$ . This is also a true statement, so the given point satisfies the second inequality as well. Therefore, $\bold(\bold3\bold,\bold2\bold)$ is a solution to the given system of inequalities since it satisfies all of the inequalities in the system. Hope this helps!