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3 years ago

How many solutions y=5x-4 y=5x-5

Mathematics

1 answer:

AlladinOne [14]3 years ago

8 0

Answer:

No solution

Step-by-step explanation:

Any equations with the same slope are parallel, or will never intersect.

In a slope-intercept equation, this would mean the 'm' values are the same.

y = mx + b

Two equations:

y = 5x - 4

y = 5x - 5

Since the two equations given have the same slope, they will never intercept and therefore have no solution.

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3 years ago

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3 years ago

Ten times a number is fifty

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Step-by-step explanation:

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3 years ago

Read 2 more answers

Joe's annual income has been increasing each year by the same dollar amount. The first year his income was $17 comma 90017,900

Vedmedyk [2.9K]

Answer:

In 17th year, his income was $30,700.

Step-by-step explanation:

It is given that the income has been increasing each year by the same dollar amount. It means it is linear function.

Income in first year = $17,900

Income in 4th year = $20,300

Let y be the income at x year.

It means the line passes through the point (1,17900) and (4,20300).

If a line passes through two points $(x_1,y_1)$ and $(x_2,y_2)$ , then the equation of line is

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

The equation of line is

$y-17900=\frac{20300-17900}{4-1}(x-1)$

$y-17900=\frac{2400}{3}(x-1)$

$y-17900=800(x-1)$

$y-17900=800x-800$

Add 17900 on both sides.

$y=800x-800+17900$

$y=800x+17100$

The income equation is y=800x+17100.

Substitute y=30,700 in the above equation.

$30700=800x+17100$

Subtract 17100 from both sides.

$30700-17100=800x$

$13600=800x$

Divide both sides by 800.

$\frac{13600}{800}=x$

$17=x$

Therefore, in 17th year his income was $30,700.

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3 years ago

Graph the equation to solve the system. y=2x+7 1/2y=x+7/2

vlabodo [156]

Given equation is y=2x+7 and $\frac{1}{2}y=x+\frac{7}{2}$

Let's simplify the 2nd equation $\frac{1}{2}y=x+\frac{7}{2}$ before we can start graph so that calculation will be easy

$\frac{1}{2}y=x+\frac{7}{2}$

multiply both sides by 2 to cancel out fractions

$2*\frac{1}{2}y=2*x+2*\frac{7}{2}$

y=2x+7

which is exactly same as the first equatoin so graph of both will be exactly same and solution will be infinitely many solutions.

y=2x+7 has y-intercept 7 so first point will be (0,7). Slope is 2 so rise 2 unit up then 1 right and graph the new point.

3 0

3 years ago