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3 years ago

Graph the function y = -2x + 3. Tell whether or not each ordered pair lies on the line. Explain.

Mathematics

1 answer:

jarptica [38.1K]3 years ago

7 0

Is it possible for you to use a graph when doing Variables?

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Given y varies inversely as x, and y = 5 when x = 9. *Write the inverse function

vampirchik [111]

Answer:

y = k/x

k = 45

y = 45/x

Step-by-step explanation:

y varies inversely as x

y = k/x

y = 5 when x = 9

y = k/x

5 = k / 9

Cross product

5 * 9 = k

k = 45

Constant of proportionality, k = 45

y = 45/x

7 0

3 years ago

For which pair of points can you use this number line to find the distance?

Umnica [9.8K]

Hewo There! my name is Neko and I'll be helping you today! :3

Question:

For which pair of points can you use this number line to find the distance?

Answer:

Step-by-step explanation:

Given points 1 and 7 on the number line.

Notice that the distance between two points (a,b) and (a,c) can be found by calculating the distance between b and c, the second coordinates; similarly, for a pair of points (x,y) and (z,y), we can find the distance between those two points by calculating the distance between x and z.

Therefore, we need to find pair of point whose form is (a,b) and (a,c) or (a,b) and (c,b).

Notice that that is the case of (-4,1) and (-4, 7), and (-4,-1) and (-4,-7).

For the first pair of points, we need to calculate the distance between 1 and 7, and, as for the second pair of points, the distance between -1 and -7.

Thus, the answer is (-4,1) and (-4,7), the second option top to bottom.

7 0

2 years ago

What is the solution to the equation below?

SIZIF [17.4K]

Answer:

The solutions are (2,0) and (3,0)

Step-by-step explanation:

The common denominator is (x - 2)(x - 4) which comes to x^2 - 6x + 8 which is exactly what the denominator on the right hand side is.

2x (x - 4) - (x+3)(x - 2) = - 4x

============= ========

(x -2)(x - 4) x^2 - 6x - 8

Multiply both sides by x^2 -6x - 8

2x(x - 4) - (x^2 + x - 6 ) = - 4x Remove the brackets

2x^2 - 8x - x^2 - x + 6 = - 4x Combine like terms on the left

2x^2 - x^2 - 8x - x + 6 = - 4x

x^2 - 9x + 6 = - 4x Add 4x from both sides

x^2 - 9x + 4x + 6 = 0

x^2 - 5x + 6 = 0

This factors into

(x - 2) and (x - 3)

x - 2 = 0

x = 2

x - 3 = 0

x = 3

6 0

3 years ago

What is an equation of the line that passes through the points (-6, -4) and (3, 8)

ikadub [295]

Answer:

y = $\frac{4}{3}$ x + 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (- 6, - 4) and (x₂, y₂ ) = (3, 8)

m = $\frac{8-(-4)}{3-(-6)}$ = $\frac{8+4}{3+6}$ = $\frac{12}{9}$ = $\frac{4}{3}$ , then

y = $\frac{4}{3}$ x + c ← is the partial equation

To find substitute either of the 2 points into the partial equation

Using (3, 8 ) , then

8 = 4 + c ⇒ c = 8 - 4 = 4

y = $\frac{4}{3}$ x + 4 ← equation of line

7 0

3 years ago

(Scientific Notation LC)

trapecia [35]

0.00067

You always want the period to the right of the first number meaning you’ll start from there counting backwards because it is negative.

8 0

1 year ago