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3 years ago

What is the equation of the graphed linear model? y = x + Graph:

Mathematics

1 answer:

Tomtit [17]3 years ago

4 0

One point on the line is (1,3) and another point is (9,11).

Find the slope of the two points on the line.

$\bf{Slope =\frac{y_2-y_1}{x_2-x_1} =\frac{11-3}{9-1} =\frac{8}{8} = 1$

Now, let's make our equation in the form of y = mx + b, where m is the slope and b is the y-intercept.

We now have y = 1x + b

Plug in a point and solve for b.

y = 1x + b

3 = 1(1) + b

3 = 1 + b

b = 2

The equation is y = x + 2.

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You are planning to take a group of friends to the movies for your birthday. The local movie theater charges $12.99 per person.

enot [183]

The answer is 6 People. You make the two equations first 12.99x and 8.99x+20. And then make them equal each other 12.99x = 8.99x+20. Then you use algebra to solve for the x and you get an answer of 5. That is the number of people that would cause the two prices to break even (be the same price). So in order for the group rate to be the better deal you need 6 people to attend.

3 0

3 years ago

Read 2 more answers

Find the value of each variable. Write an<br> equation then solve showing ALL the work<br> A2x+10°

AveGali [126]

Answer:

x = 25

Step-by-step explanation:

The three straight lines in the sides of the triangle means that ALL 3 SIDES ARE EQUAL.

This is an equilateral triangle. So all 3 angles are equal.

We know sum of 3 angles in a triangle is 180. Since 3 of the angles are equal, each angle is:

180/3 = 60

The top angle is given as "2x + 10", thus we can say "2x + 10" is equal to 60 degrees. Now we equate and solve for x:

$2x+10=60\\2x=60-10\\2x=50\\x=\frac{50}{2}\\x=25$

The value of x is 25

4 0

3 years ago

The frequency table shows the favorite college football teams of middle school students.What fraction of the students chose soon

masya89 [10]

The fraction would be 5/20=1/4=.25 in decimal form.

4 0

3 years ago

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What is a peregrine falcon's maximum speed while diving to catch prey,

Sergeu [11.5K]

This is an incomplete question, here is a complete question.

What is a peregrine falcon's maximum speed while diving to catch prey 200 miles per hour in feet per second? (Round your answer to the nearest whole number. (1 mile = 5280 feet)

Answer : The speed in feet per second is, 293 feet/s

Step-by-step explanation :

As we are given that the speed of peregrine falcon's is 200 miles per hour. Now we have to determine the speed in feet per second.

As we know that:

1 mile = 5280 feet

1 hour = 3600 second

So,

1 mile/hr = 1.4667 feet/s

As, 1 mile/hr = 1.4667 feet/s

So, 200 mile/hr = $\frac{200\text{ mile/hr}}{1\text{ mile/hr}}\times 1.4667\text{ feet/s}$

= 293.34 feet/s ≈ 293 feet/s

Therefore, the speed in feet per second is, 293 feet/s

5 0

3 years ago

A rectangle has length that is 5 less than 2 times the width. Write an expression for the area of the rectangle.

a_sh-v [17]

We are given a relationship between the sides of a rectangle, that is, the length of one of its sides is 5 less two times its width, and we are asked to find an expression for the area. Let's remember that the area of a rectangle is equal to the product of the length of its side by its width. Let "w" be the length of the rectangle and "L" its lenght, then the area is given by the following formula:

$A=Lw$

We can use the relationship given in the problem, that is, its length being five less two times its width, that is:

$L=5-2w$

Replacing in the formula for the area we get:

$A=(5-2w)w$

Now we use the distributive law:

$A=5w-2w^2$

7 0

1 year ago