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Vera_Pavlovna [14]
3 years ago
12

What is the distance between (5,-1) and (5,4)?

Mathematics
1 answer:
Alex_Xolod [135]3 years ago
5 0

Answer:

D

Step-by-step explanation:

The first number in each co-ordinate is the same so -1 plus 4 is 5 units

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For the last basketball game, 381 tickets were sold. Adult tickets sold for $7, and student tickets sold for $3. How many adult
vovikov84 [41]

Answer: 96 adult tickets were sold.

Step-by-step explanation:

Let x represent the number of adult tickets that were sold.

Let y represent the number of students tickets that were sold.

For the last basketball game, 381 tickets were sold. This means that

x + y = 381

Adult tickets sold for $7, and student tickets sold for $3. If the ticket sales totaled 1,527, it means that

7x + 3y = 1527 - - - - - - - - - - - -1

Substituting x = 381 - y into equation 1, it becomes

7(381 - y) + 3y = 1527

2667 - 7y + 3y = 1527

- 7y + 3y = 1527 - 2667

- 4y = - 1140

y = - 1140/- 4

y = 285

x = 381 - y = 381 - 285

x = 96

4 0
3 years ago
The graph of a line is shown below. What is the equation of the line, in slope-intercept form, that is parallel to this line and
Alex_Xolod [135]

Earlier in this chapter we have expressed linear equations using the standard form Ax + By = C. Now we're going to show another way of expressing linear equations by using the slope-intercept form y = mx + b.

In the slope-intercept form you use the slope of the line and the y-intercept to express the linear function.

<span><span>y=mx+b</span><span>y=mx+b</span></span>

Where m is the slope and b is the y-intercept.

Example

Graph the equation

<span><span>y−2x=1</span><span>y−2x=1</span></span>

rewrite in slope-intercept form

<span><span>y=2x+1</span><span>y=2x+1</span></span>

Identify the slope and the y-intercept

m = 2 and b = 1

Plot the point corresponding to the y-intercept, (0,1)

The m-value, the slope, tells us that for each step to the right on the x-axis we move 2 steps upwards on the y-axis (since m = 2)

And once you have your second point you can just draw a line through the two points and extend it in both directions.

You can check to see that the line you've drawn is the correct one by substituting the coordinates of the second point into the original equation. If the equation holds true than the second point is correct.

Our second point = (1, 3)

<span><span>y−2x=1</span><span>y−2x=1</span></span>

<span><span>3−2⋅1=3−2=1</span><span>3−2⋅1=3−2=1</span></span>

Our second point is a solution to the equation i.e. the line we drew is correct.

A line that passes through the origin has a y-intersect of zero, b = 0, and represents a direct variation.

<span><span>y=mx</span><span>y=mx</span></span>

In a direct variation the nonzero number m is called the constant of variation.

You can name a function, f by using the function notion

<span><span>f<span>(x)</span>=mx+b</span><span>f<span>(x)</span>=mx+b</span></span>

f(x) is another name for y and is read as "the value of f at x" or "f of x". You can use other letters than f to name functions.

A group of functions that have similar characteristics are called a family of functions. All functions that can be written on the form f(x) = mx + b belong to the family of linear functions.

The most basic function in a family of functions is called the parent function. The parent function of all linear functions is

<span><span>f<span>(x)</span>=x</span></span>

4 0
3 years ago
a survey of 153 law firms in a coutry found that the aveage hourly billing roate for partners is 642 what is the population
Art [367]

Answer:

Population, well, it is recorded as partners and 642x153=98226 is calculated correctly, you divided by 2 which is 98226 divided by 2 is 49113.

8 0
2 years ago
What is -2-+4 equal?
lions [1.4K]

Answer:

-6

Step-by-step explanation:

7 0
2 years ago
Factor x2-3x - 28
AVprozaik [17]

Answer:

x equal to -4 or 7

Step-by-step explanation:

x square - 3 x - 28 equals 0 so for me are you now find factors of 28 that and you add you add or multiply those two factors to get those two factors to give you 28 so now so you know Factor ways to get (open x + 4) Close x (open x - 7) close equal to zero your ex number comes -4 or 7

5 0
3 years ago
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