Solve the inequality

Mathematics

1 answer:

wariber [46]3 years ago

6 0

6y+1>=10
Subtract 1 from both sides
6y>=9
Divide 6 on both sides so that the only thing remaing on the left side is the variable y.
Final Answer: y>= 1.5 or 1 1/2

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Graph the given inequality. y ≤ 4 – | x |

love history [14]

You'll get two X values because there is a modulus.

3 0

3 years ago

HELP

ozzi

9514 1404 393

Answer:

Step-by-step explanation:

The first step is to eliminate the parentheses, using the distributive property.

5(3x − 4) = 1

15x -20 = 1

The second step is to add 20 to both sides of the equation.

15x = 21

This pair of steps is shown in the 3rd choice.

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Comment on the answers

The distributive property seems to be applied incorrectly a lot of the time. Here, you can choose the correct answer by looking at the result of properly applying the distributive property: 5(3x-4) = 15x-20. Only the correct choice has this as the first step.

3 0

3 years ago

Read 2 more answers

A line that passes through the origin also passes through the point (6,2). What is the slope of the line?

Yanka [14]

9514 1404 393

Answer:

1/3

Step-by-step explanation:

The slope of a line is the ratio of its "rise" to its "run." The "rise" is the change in vertical distance, and the "run" is the corresponding change in horizontal distance between two points on the line. The formula for the slope is ...

$m=\dfrac{y_2-y_1}{x_2-x_1}\qquad\text{where $(x_1,y_1)$ and $(x_2,y_2)$ are points on the line}$

In this problem, you are told the line passes through the origin, which is point (x, y) = (0, 0), and through point (6, 2). Using these coordinates in the slope formula gives ...

$m=\dfrac{2-0}{6-0}=\dfrac{2}{6}=\boxed{\dfrac{1}{3}}$

You may notice that when the line passes through the origin, the slope is simply the ratio y/x of any point on the line. Here, that ratio is 2/6 = 1/3.

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Additional comment

A line through the origin is the graph of a proportional relationship. That is, y is proportional to x. The slope of the line is the constant of proportionality. The equation of the line is ...

y = kx . . . . . . where k is the constant of proportionality.

The line in this problem statement will have the equation ...

y = (1/3)x