Press A can make 100 forms an hour. The table below shows the productivity of press B. How much faster is press B than press A?

This graph shows the solution to which inequality?

telo118 [61]

Answer:

$y > \frac{1}{3}x - 2$

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

$y = mx + b$

In which m is the slope, and b is the y-intercept(value of y when x = 0).

In this question:

We have that when $x = 0, y = -2$ . So the line is given by:

$y = mx - 2$

Finding the slope:

We have two points in the line, which are (-3,-3) and (3,-1). The slope is given by the change in y divided by the change in x. So

Change in y: -1 - (-3) = -1 + 3 = 2

Change in x: 3 - (-3) = 3 + 3 = 6

Slope: $m = \frac{2}{6} = \frac{1}{3}$

Solution to the inequality:

The solution to this inequality is all the points above the dashed line, which means that the dashed line is not part of the solution. So

$y > \frac{1}{3}x - 2$

5 0

3 years ago

7.

Agata [3.3K]

Answers:

prime number = {2,3,5}
composite number = {4,6}
number less than four = {1,2,3}
number more than or equal to three = {3,4,5,6}

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

Explanation:

The list of all possible outcomes on a single standard die is {1,2,3,4,5,6}. The curly braces indicate set notation.

A prime number is a number where its only factors are 1 and itself. The value 1 is not prime, and it's not composite either.

Something like 3 is prime because its only factors are 1 and 3. Something like 4 is composite because 4 = 2*2. A composite value has factors other than 1 and itself.

Parts (iii) and (iv) are fairly straight forward. You simply list items less than four for part (iii) and you list items that are three or greater for part (iv).

5 0

3 years ago

What is the slope of a line perpendicular to the line passing through (-23, 8) and (12, -17)

Radda [10]

Answer:

$m=\frac{7}{5}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Slope Formula: $m=\frac{y_2-y_1}{x_2-x_1}$
Slope of a perpendicular line is the negative reciprocal of the original

Step-by-step explanation:

Step 1: Define

Point (-23, 8)

Point (12, -17)

Step 2: Find slope m

Substitute: $m=\frac{-17-8}{12+23}$
Subtract/Add: $m=\frac{-25}{35}$
Simplify: $m=\frac{-5}{7}$

Step 3: Find perpendicular slope m

Take negative: $m=\frac{5}{7}$
Take reciprocal: $m=\frac{7}{5}$

And we have our final answer!

7 0

3 years ago

What number do you divide by 9 to get -5?

Sliva [168]

Answer:

-45

Step-by-step explanation:

9*(-5)=-45

6 0

3 years ago

Read 2 more answers

Which ordered pair below is a solution to the following system of equations? x + 2y = 7 2x − y = -1

yan [13]

Answer: (1,3)

Step-by-step explanation:

Let's solve this system of equations by elimination. We will multiply one or both equations such that when we combine the equations, one of the variables will completely cancel out.

Let's multiply the whole first equation by -2 to achieve this:

$-2(x+2y=7)$ now becomes $-2x-4y=-14$

Now let's add both equations

$-2x-4y=-14$

$2x-y=-1$

$-5y= -15$

Since we got y into a form we can solve it for, lets divide both sides by -5 to isolate it.

$\frac{-5y}{-5} = \frac{-15}{-5}$

$y=3$

Now that we have the value of y, we can substitute it into any equation to solve for x. Only if we have both x and y can we make an ordered pair. Let's use the second equation and substitute 3 for y.

$2x-3=-1$

We can now solve for x.

$2x=2$ [Adding 3 to both sides]

$x=1$ [Dividing by 2 on both sides]

We now have both x and y, so we can put it in an ordered pair to answer the question.

$(1,3)$

6 0

2 years ago

Press A can make 100 forms an hour. The table below shows the productivity of press B. How much faster is press B than press A?​

Press A can make 100 forms an hour. The table below shows the productivity of press B. How much faster is press B than press A?