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2 years ago

Which equation describes this line?

Mathematics

1 answer:

salantis [7]2 years ago

3 0

Answer:

y=2x+4

Step-by-step explanation:

**Your line isn't clearly shown on point with the grid**

If you want this in the slope-intercept form then here it is:

Slope-intercept formula: y=mx+b

Your coordinates: (-3,2) and (1,10)

To find the slope (which is the "m" in the formula) you need to do this formula:

y2 - y1 / x2 - x1 =

(The 2's and 1's should be subscript)

10-2/1-(-3) = 8/4

8/4=2

The slope should be 2

Formula right now: y=2x+b

You need to find the y-intercept:

That should be a point on the y-axis.

(0,n) **N is used for a variable since we don't have a number yet.

In your coordinate plane, (0,4) is your y-intercept.

When writing the y-intercept in the formula don't write a coordinate write the "y"

Formula: y=2x+4

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A group of friends wants to go to the amusement park. They have no more than $65 to spend on parking and admission. Parking is $

Aloiza [94]

Considering the definition of an inequality, the number of people who can go to the amusement park is 3.

<h3>Definition of inequality</h3>

An inequality is the existing inequality between two algebraic expressions, connected through the signs:

greater than >.
less than <.
less than or equal to ≤.
greater than or equal to ≥.

An inequality contains one or more unknown values called unknowns, in addition to certain known data.

Solving an inequality consists of finding all the values of the unknown for which the inequality relation holds.

<h3>Number of people who can go to the amusement park</h3>

In this case, you know that:

A group of friends has no more than $65 to spend on parking and admission.
Parking is $9.75, and tickets cost $16.25 per person, including tax.

Being "p" the number of people who can go to the amusement park, the inequality that expresses the previous relationship is

$9.75 + $16.25×p ≤$65

Solving:

$16.25×p ≤$65 - $9.75

$16.25×p ≤$55.25

p ≤$55.25÷ $16.25

Finally, the number of people who can go to the amusement park is 3.

Learn more about inequality:

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4 0

2 years ago

11) If A = {19, 20, 21, 24} and B = {17, 19, 20, 22), list the elements of A U B.

Elodia [21]

Answer:

A U B = {17, 19, 20, 21, 22, 24}

Step-by-step explanation:

The symbol U is the union symbol, which denotes the union of two sets.

This means that given two sets A and B, the expression

A U B

indicates all the elements that belong to either set A or set B.

In this problem, we have the following two sets:

A = {19, 20, 21, 24}

B = {17, 19, 20, 22}

We can therefore list all the elements belonging to either set A or set B, they are:

17, 19, 20, 21, 22, 24

So, the expression A U B indicates the set:

A U B = {17, 19, 20, 21, 22, 24}

3 0

3 years ago

Line f has a slope of -3. what is the slope of the line that is parallel to line f

andre [41]

Answer:

A line parallel has the same slope, so -3

8 0

3 years ago

HELP!!!!!!!!! I DONT UNDERSTAND THIS

ValentinkaMS [17]

Answer:

$x=86^{\circ}$

$y=94^{\circ}$

$z=54^{\circ}$

Step-by-step explanation:

First, let's look at the largest triangle (two smaller triangles are combined) to solve for $z$ . Since the sum of the angles in a triangle adds up to $180^{\circ}$ , we can write the equation: