Which of the next equations are linear:

Mathematics

1 answer:

insens350 [35]3 years ago

8 0

The first and third ones are both linear. The second one is not because of the exponent. Instead it is a parabola.

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A line passes through the points A(n,4) and B(6,8) and is parallel to y=2x-5. What is the value of n?

Lady_Fox [76]

The slope of y = 2x - 5 is 2. Parallel lines have the same slope, so the slope of the line through the given points A and B is also 2. This means

(8 - 4) / (6 - n) = 2

Solve for n :

4 / (6 - n) = 2

4/2 = 6 - n

2 = 6 - n

n = 6 - 2

n = 4

4 0

3 years ago

Solve the x 1/3x + 5> 10

kotykmax [81]

Answer:

The solution to the inequality is:

$\frac{1}{3}x+5>10\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x>15\:\\ \:\mathrm{Interval\:Notation:}&\:\left(15,\:\infty \:\right)\end{bmatrix}$

The solution graph is also attached below.

Step-by-step explanation:

Given

We are given the expression

$\frac{1}{3}x+5>10$

To determine

Solve for x

Given the expression

$\frac{1}{3}x+5>10$

Subtract 5 from both sides

$\frac{1}{3}x+5-5>10-5$

Simplify

$\frac{1}{3}x>5$

Multiply both sides by 3

$3\cdot \frac{1}{3}x>5\cdot \:3$

Simplify

$x>15$

Thus, we conclude that:

$x>15$

Therefore, the solution to the inequality is:

$\frac{1}{3}x+5>10\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x>15\:\\ \:\mathrm{Interval\:Notation:}&\:\left(15,\:\infty \:\right)\end{bmatrix}$

The solution graph is also attached below.