1. MOVIES By the end of its first week, a
movie had grossed $2.3 million. By the
end of its sixth week, it had grossed
$6.8 million. Graph the data with the
week on the horizontal axis and the
revenue on the vertical axis, and draw a
line through the points. Then find and
interpret the slope of the line.
10
Revenue (millions of dollars)
OU
0 2 4 6 8 10
Week

The slope of the given situation of selling breakfast platters is 0.90.

Given, the platter of 12 bagels costs $10.80.

The extra cost of $6.50 for a gallon of coffee.

To find the slope of the situation, we convert the situation into the equation of the line.

y=mx+c

here c is the extra cost that is 6.50.

12m=10.80

For 12 bagels , the cost is 10.80, then the slope will be the cost of each bagel.

m=10.80/12

m=0.90

m=$0.90

Therefore, option c 0.90 is the slope of the given situation of the bakery selling the breakfast platter of 12 bagels and a gallon of coffee.

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The allusion to the pied piper in "Pan: God of the wild" contributes to the meaning of the myth by B. showing that Pan is a god that leads others to  destruction.

The story goes that the pied piper went into a town infested with rats and made a deal with the people of the town to drive the rats away for a token. The town agreed and the pied piper drove the rats into the river. When the piped piper asked for his money, they refused to pay up. The pied piper took his revenge on the town by leading children of the town away from the town and they were never discovered.

The myth only shows that Pan is a god that leads others to destruction.

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The height of the actual building, given the height of the model, can be found to be 1, 455 feet

The model is such that every inch of the building on the model is 75 feet of the actual building.

This means that if the height of the building in the model is 19 ² / ₅ inches, then the height of the actual building would be:

= Height of building in model x Scale factor per inch

= 19 ² / ₅  x 75

= 97 / 5 x 75

= 1, 455 feet

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ANSWER

N = 11

EXPLANATION

Given:

3N + 5 = 38

Desired Outcome:

Value of N

Solve for N

Hence, the value of N is 11.

Let,

The expression to calculate the distance between two points is,

Thus, the length of the line RS is 8.5 units, and the correct option is option C.

From the graph given, we are asked to find the equation of line, with our answer in point slope form.

from the graph:

y = 9, x = 10

y1 = 5, x1 = 6

recall, the equation of a line is:

y = mx + b

slope m = y - y1/x - x1

m = 9 - 5/10 - 6

m = 4/4

m = 1

y = 1x + b

y = x + b

using the point slope form:

y - y1 = m(x - x1)

Where:

y = y coordinate of second point

y1 = y coordinate of point one

m = slope

x = x coordinate of second point

x2 = x coordinate of point one.

Therefore, the point slope equation is:

y - 5 = 1(x - 6)

y - 5 = x - 6

The simplified form is 7x - 2y.

Distributive property: What Is It?

This property states that multiplying the total of two or more addends by a number will produce the same outcome as multiplying each addend by the number separately and then adding the results together.

According to question,

5x-4y+2(y+x)

5x-4y+2y+2x

7x-2y

Hence, simplified form is 7x - 2y.

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d)

To determine the type of function, we would compare the y values. If the ratio of consecutive y values is the same, then the function is exponential. We have

2/1 = 4/2 = 8/4 = 2

Thus, it is an exponential function. The general formula for an exponential function is

y = ab^x

We would find a and b

Substituting x = 0 and y = 1 into the formula, we have

1 = ab^0

1 = a

Substituting x = 1 and y = 2 into the formula, we have

2 = ab^1

2 = ab

Substituting a = 1 into 2 = ab, then

2 = 1 * b = b

By substituting a = 1 and b = 2 into the original formula, the equation would be

y = 2^x

To get (f-g)(x), we're essentially just factoring out x from f(x) and g(x).

-> f(x) - g(x) = x(f-g), and by the properties , x(f-g) is the same as (f-g)(x).

Therefore, (f-g)(x) = 5x - 7 - (-4x + 2) = 5x - 7 + 4x - 2 = 9x - 9.

Answer:

[tex](f-g)(x)=9x - 9[/tex]

Step-by-step explanation:

Given functions:

[tex]\begin{cases}f(x) = 5x-7 \\ g(x) = -4x + 2\end{cases}[/tex]

To find (f - g)(x), subtract function g(x) from function f(x):

[tex]\begin{aligned}(f-g)(x)&=f(x)-g(x)\\&=(5x-7)-(-4x+2)\\&=5x-7+4x-2\\&=5x+4x-7-2\\&=9x-9\end{aligned}[/tex]

Therefore, the solution to the given composite function is:

Answer:

7.5/3

Step-by-step explanation:

7x-7.5 = 4x

-7.5 = -3x

x= 7.5/3

Let:

Rf = Remus frogs

Jf = Julias frogs

If Remus gives a half of his frogs to Julia, what will the ratio of Julia's frogs to Remus frogs be ? so:

Therefore, the ratio will be:

Answer:

y=3x-11

Step-by-step explanation:

In this question, we will use the point slope form:

Which has the equation:

[tex]y-y_1=m(x-x_1)\\subsitute:\\y+5 = 3(x-2) , (y--5=+5)\\y+5=3x-6\\y=3x-11[/tex]

Hope this helps!

Answer: Width = 5.7 feet, Length = 10.5 feet

Step-by-step explanation:

Let the width be w. Then, the length is 2w-0.9.

[tex]w(2w-0.9)=59.85\\\\2w^2 -0.9w-59.85=0\\\\w =\frac{-(-0.9) \pm \sqrt{(-0.9)^2 -4(2)(-59.85)}}{2(2)}\\\\w =5.7\\\\\implies 2w-0.9=10.5[/tex]

A perfect square means that the given value is the result of the multiplication of an integer with itself, for example 2*2=4 →√

Answer:

Equation of line is given as y = mx + c, where m is the gradient and c is the y-intercept.

First, rearrange x + 7y = 21 into y = mx + c form.

x + 7y = 21

7y = - x + 21

y = -1/7x + 3

Parallel lines have the same gradient so gradient of line is -1/7.

Equation of line is now y = -1/7x + c.

Substitute (-14,4) into the equation to find c.

4 = -1/7(-14) + c

4 = 2 + c

c = 2

Hence, equation of line is y = -1/7x + 2.

The graph of the inequality is a straight line on the x-axis

from -2 to 5 also, -2 & 5 are not included in the graph.

Given, an inequality

-2 < x < 5

we have to draw a graph for the given inequality,

as the value of 'x' is from -2 to 5.

So, the graph of the inequality is a straight line on the x-axis

from -2 to 5 also, -2 & 5 are not included in the graph.

Hence, the graph of the inequality is a straight line on the x-axis

from -2 to 5 also, -2 & 5 are not included in the graph.

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The equation of line are given as y = 5x - 10 and y = 2x + 8 respectively

The point slope form is used to find the equation of the straight line which is inclined at a given angle to the x-axis and passes through a given point. The equation of a line is an equation that is satisfied by each and every point on the line. This means that a linear equation in two variables represents a line. The equation of a line can be found through various methods depending on the available information.

In this case, we have can proceed to write the equation of a straight line which is given as y = mx + c

Let's find the y - intercept and write the equation.

y = mx + c

5 = 5(3) + c; c = 5 - 15 = -10

y = 5x - 10

2) We have the slope as 2 and the points are (-1, 6)

The equation of the line can be written in form of y = mx + c

6 = 2(-1) + c

6 = -2 + c; c = 8

The equation is given as y = 2x + 8

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Simplify the expression

Removing all the parentheses, taking special care to change the signs of the last three terms:

Now collect like terms:

The semicircles diameter is 10km

The diameter is defined as twice the length of the radius of a circle.

From the relation diameter of a circle is given as d= 2r

Radius of the semicircle is 5km

Substitute the radius in to d=2r

diameter= 2 x 5= 10km

Therefore, the semicircles diameter is 10km

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Answer

The cost of the DVD now that it's on sale will be $13.5​

Explanation

DVD actual price = $15

10% off the price will be (10/100 x $15) = $1.5

The selling price of the DVD now will be $(15 - 1.5) = $13.5

∴ The cost of the DVD now that it's on sale will be $13.5​

Answer:

multiply 1 is the correct answer

12×1 - 15 = -3

Solution

Step 1

Write out the expression for the probability of an event occurring

For this question,

The number of required events = The number of students that are male and Junior= 2

The total number of events = The total number of male students= 4+6+2+2 = 14

Step 2

Find the required probability after substitution

Hence the probability the student is a junior given its a male = 1/7

In percentage, the probability will be

Where x is the required percentage, to the nearest whole percent, the final answer is 14%

The parent quadratic function is 2 unit right and 3 units up.

Given function is

f(x) = (x-2)² +3

= x² - 2² - 2×x×2 + 3

= x2 - 4 - 4X + 3

= X² - 4X -1

Parent function g(x) = x²

The parent function is shifted to 2 units in right and 3 units up.

Parent function transformations are shown in blue. This is a 1 unit shift down. Mirroring of the x-axis is done functionally by multiplying the superordinate function by the negative function.

A parent function is the simplest function that satisfies the definition of a particular function type. For example, consider linear functions that form a family of functions.

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Disclaimer:- your question is incomplete, Please see below for the complete question.

Which phrase best describes the transformation(s) of the following graph from the parent quadratic function? f(x)=(x-2)^2+3

The expression that represents the given situation is 2x + 3 = T.

So, the expression to represent the given situation is:

Since the miles run on Monday and Tuesday are the same, then let the miles run be 'x'.

Let, the total mile be T.

Now, the expression will be:

Therefore, the expression that represents the given situation is 2x + 3 = T.

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Answer:

[tex]46, 10[/tex]

Step-by-step explanation:

A median is the segment drawn from the vertex of a triangle that bisects the opposite side.

EXPLANATION

The unit rate is given by the following relationship:

Unit rate= $200/15ft = $13.3333.../ft

Then, rounding to the nearest hundreth:

Unit rate = $13.33/ft

Recall the definition of the sine of an angle on a right triangle:

On the other hand, according to this diagram, the values for tan(A) and cos(A) are given by:

Since 180≤A≤270, the right triangle that corresponds to the angle A on the coordinate plane looks as follows:

Where a and b are negative distances.

Since sin(A)=-4/7, we can assume that a=-4 and c=7. Use the Pythagorean Theorem to find the exact value of b:

We know that b should be negative. Then:

Substitute b=-sqrt(33) and c=7 to find the exact values for cos(A) and tan(A):

Therefore, the exact values for cos(A) and tan(A) are:

EXPLANATION:

In the exercise we have to perform the sum of two improper fractions which are heterogeneous because they have different denominators.

The procedure is the next:

year's

this year´s profit is $ 472857

Explanation

we can easily solve this by using a rule of three

so

Step 1

a)let x represents this year's profit

so

if it is decreases by 2.1 %

so, this year's profit is 97.9% of the last year profit

hence

we can make a proportion

finally, solve for x,

therefore

this year´s profit is $ 472857

I hope this helps you