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ElenaW [278]
3 years ago
7

Write an equation of a vertical line that contains the point (-2,5)

Mathematics
1 answer:
babunello [35]3 years ago
3 0

Answer:

x=-2

Step-by-step explanation:

The line is vertical and/or undefined and it passes through the point (-2,5).

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A business executive bought 40 stamps for
alekssr [168]

Answer:

32 33-cent stamps, 8 23-cent stamps

Step-by-step explanation:

In order to solve this question, we need to set up a system of equations. Also known as solving for two variables (the number of each stamp).

Let's set x to be the number of 33-cent stamps. Similarly, let's set y to be the number of 23-cent stamps.

To make our first equation, let's think about the number of stamps total we have. We can say:

x + y =40

<em>(AKA - The number of 33-cent stamps, plus the number of 23-cent stamps, equals 40 stamps.)</em>

Now, let's make an equation for the cost of these stamps.

0.33x + 0.23y = 12.40

<em>(AKA - The cost of the stamps in total, should equal $12.40).</em>

So now, we have our two equations:

x + y =40\\0.33x+0.23y=12.40

If you have a TI-84 graphing calculator, you can go to apps -> polysmlt2 -> simultaneous eqn solver, and then input these equations into the menu. This will solve the problem for you.

If you need to do this manually, let's use substitution. Condense our first equation to make it more substitutable.

x+y=40\\x=40-y

Now, let's put this into our second equation.

0.33x+0.23y=12.40\\0.33(40-y)+0.23y=12.40

Distribute, and solve for y.

13.2-0.33y +0.23y =12.40\\13.2-0.1y=12.40\\-0.1y=-0.8\\y=8

Now, we plug this into one of our equations.

x+y=40\\x+8=40\\x=32

In the end, we have thirty-two 33-cent stamps, and eight 23-cent stamps.

3 0
1 year ago
Two or more expressions joined by an inequality sign is called
marta [7]

Answer:

inequality

Step-by-step explanation:

Inequality are two or more expressions joined by an inequality sign is called

6 0
3 years ago
What is the median of the data set?
cluponka [151]

Answer: 85.5

Step-by-step explanation:

There are 22 data points in the data set.

We can find the median by looking at the 11th and 12th scores, and averaging them.

The 11th score is 85

The 12th score is 86

The average of the two is 85.5

Hence the answer is 85.5

3 0
3 years ago
True or false. For a trigonometric function, y=f(x) then x=F-1(y). Explain your answer.
sergejj [24]
False if y=f(x) then x= inverse of f(x) or f^-1(x)
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