Steve manages a skate park and he has been analyzing the attendance data. Steve finds that the number of visitors increases exponentially as the temperature increases, and this situation is represented by the function f(x) = 5x. Steve also finds a linear equation that models the number of people who leave the park early depending on the change in temperature, and it is represented by f(x) = −x + 6. The graph of the two functions is below. Find the solution to the two functions and explain what the solution represents. (10 points)

Steve Manages A Skate Park And He Has Been Analyzing The Attendance Data. Steve Finds That The Number

Answers

Answer 1

Answer:

(1, 5)

Step-by-step explanation:

Both of the graphs include infinite number of points.

The solution is the common point that belongs to both of the graphs, the intersection point.

We can see it is the point (1, 5)

This is the point when the temperature change is positive 1 degree.  At this point number of visitors is equal to number of those leaving the part early.


Related Questions

A large rectangular movie screen in an IMAX theater has an area of 7,875 square feet. Find the dimensions of the screen if it is 30 feet longer than it is wide.

Answers

Answer:

Width=75

length=105

Step-by-step explanation:

Width=x

length=30+x

= 7875=x*30+x

x^2+30x-7875=0

x^2+105x-75x-7875=0

x(x+105)-75(x+105)=0

If a watch costs $40 and you must pay 6.5 % sales tax, how much will the tax be?
Please give me the correct answer this is for a test and im on a time limit :(

Answers

Answer:

$2.60

Step-by-step explanation:

40 x 0.065 = $2.60

Answer:

the tax would be 2.60$

Step-by-step explanation:

6.5% of 40 is 2.6

(6.5 x .40=2.6)

50 points
Shanna received a small box from the mailman. What is a reasonable weight for the small box? A. 6 grams B. 6 pounds C. 16 millimeters D. 60 inches

Answers

Answer:

b is the answer  brainliest please i need 1 more

Step-by-step explanation:

jayfeather friend me

Answer:

6 pounds

Step-by-step explanation:

6 grams is the weight of 2 paperclips, and 16 millimeters and 60 inches are used to measure volume, not weight.

hope it helps! :3

I need help with this

Answers

45 because they are supplementary equal they are parralel

f (x) = 5x -3 what is f (5) =

Answers

Answer:

22is answer

f (x) = 5x -3

f (5) =5×5-3=25-3=22

Answer:

5

Step-by-step explanation:

f(x)=5x−3

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax^n  is nax^n−1 .

5x^1−1

Subtract 1 from 1.

5x^0

For any term t except 0, t^0 =1.

5×1

For any term t, t×1=t and 1t=t.

5

What is the perimeter of a rectangle with two lentghs of 5

Answers

Answer:

20

Step-by-step explanation:

in perimeter you have to add all the sides but rectabgless all have the same size so 5 x 4 since rectangle has 4 sides equls 20 so 20 is the answer

The membership fee at a sports club was $600 per year. Each year, the membership fee increased by 7%.
Which equation models the cost of the membership fee, y, after 2 years?

Answers

Answer:

600(1.07)^2=y

Step-by-step explanation:

Find the length of side x in simplest radical form with a rational denominator

Answers

Answer:

[tex] x = \sqrt{2} [/tex]

Step-by-step explanation:

[tex] \tan 30 \degree = \frac{x}{ \sqrt{6} } \\ \\ \frac{1}{ \sqrt{3} } = \frac{x}{ \sqrt{6} } \\ \\ x = \frac{ \sqrt{6} }{ \sqrt{3} } \\ \\ x = \frac{ \: \sqrt{3} \times \sqrt{2} }{ \sqrt{3} } \\ \\ x = \sqrt{2} [/tex]

The scatter plot shows which type of correlation?

A. No correlation
B. Cant be determined
C. Negative correlation
D. Positive correlation ​

Answers

Answer:

negative correlation

Step-by-step explanation:

because it starts from the y axis

Find the area of the figure

Answers

Answer:

Step-by-step explanation:

Just add it

How many 1/3 are in 2 3/4?

Answers

Answer: For example, in order to explain why 1/3 + 1/4 = 7/12, we considered the task of dividing 7 apples between 12 boys under the restriction that an apple ... How many halves are in the whole? ... 1 = 3 × 1/3, 2 = 6 × 1/3, 3 = 9 × 1/3, 4 = 12 × 1/3.

Step-by-step explanation:

boom your nice wanna be my friend

Find the volume of the cylinder and cone, then add them together.

Answers

Solution :

Volume of cylinder :-

V = πr²h

Here,

r is radius h is height

We have :

r = 2cm h = 7cm

Substituting the values :

> V = π (2 × 2) × 7

> V = 4π × 7

> V = 28π

Volume of cone :-

V = ⅓ π²h

We have :

r = 2cm h = 6 cm

Substituting the values :

> V = ⅓ × π × (2 × 2) × 6

> V = ⅓ × π × 4 × 6

> V = ⅓ × π × 24

> V = 8π

According to the question :-

Adding them together,

> Total Volume = 8π + 28π

> Total Volume = 36π

[tex]Total \: \: \: Volume = (88+176) {cm}^{2} \\ \\ = 264 {cm}^{2} .[/tex]

Leon’s older brother is 4 3/4 feet tall Leon is a 1/3 foot shorter than his brother how. tall is Leon?

Answers

Answer:

Leon is 4 5/12

Step-by-step explanation:

4 3/4 - 1/3 change 4 4/12 - 4/12 = 4 5/12

The equation that Passes through the points (-4,2) and (5,-3)

Answers

Answer:

m= -5/9

Step-by-step explanation:

m= y2-y1/ x2-x1

m= -3-2/ 5-(-4)

m= -3-2/ 5+4

m= -5/9

y= mx + b

(-4,2)

2= -5/9(-4) + b

2= 2.2+ b

-2.2 +2= b

-0.2= b

PLEASE HELP GEOMETRY

Answers

Answer:

Step-by-step explanation:

E=mc squared m=3 c=6

Answers

Answer:

E = 108

Step-by-step explanation:

E = 3 * [tex]6^{2}[/tex]

= 108

Answer:

e=mc^2 if m=3 and c=6

e=3([tex]6^2[/tex])

e=3[tex](36)[/tex]

e=108

Step-by-step explanation:

hope this helps have a good rest of your day/afternoon :) ❤

An object that weighs 18 pounds on Mercury weighs approximately 60 pounds on Earth. A rock weighs 120 pounds on Mercury. What is the approximate weight of the rock, in pounds, on Earth

Answers

Answer: 400

Step-by-step explanation:

I'm not sure 400

Formula for parallelogram law of addition

Answers

Answer:

answers?

Step-by-step explanation:

13,406,109 pennis into dollars

Answers

Answer:

$134,061.09

Step-by-step explanation:

hope this helps

Answer:

134,061.09

Step-by-step explanation:

Divide 13,409,109 by 100

$134,061.09

This can also be expressed as 134, 061 dollars, and 9 pennies.

Find the midpoint of A and B where A has coordinates (8,5)
and B has coordinates (3, 7).

Answers

Answer:

Step-by-step explanation:

Average of x-coordinates = (8+3)/2 = 5.5

Average of y-coordinates = (5+7)/2 = 6

Midpoint at (5.5,6)

In one building, an elevator takes 15 seconds to go up 5 floors.
In another building, an elevator goes up for 60 seconds at the
same rate. How many floors did the elevator in the second
building travel?

Answers

Answer:

20 floors

Step-by-step explanation:

15 sec to go up 5 floors is climbing one floor every 3 seconds

3 sec x 20 = 60 seconds

1 fl x 20 = 20 floors

Can someone help me find the distance between the points (-5,3) and (-4,2)


Answers

Answer: 1.4142

Step-by-step explanation:

Input Data :Point 1 (xA,yA) = (-5, 3) Point 2(xb,yB) = (-4, 2)

Objective : Find the distance between two given points on a line?

Formula :Distance between two points = √(xB-xA)^2+(yB−yA)^2

Solution :

Distance between two points =  √(−4−−5)2+(2−3)2= √12+(−1)2= √1+1= √2 = 1.4142

Distance between points (-5, 3) and (-4, 2) is 1.4142

May I please have brainlest I'm trying to achieve a new rank

‍♂️‍♂️‍♂️help me plz I dont no 1+1​

Answers

Answer:

The answer is 2

Step-by-step explanation:

Since the number 1 plus 1 is 2

11, you do 1+1 n take away the +

Which line has a slope of -1/2?

Answers

Line d passes through (-4,0) and (0,-2) .
Slope = (-2-0)/(0-(-4)) = -½

Which expression is equivalent to 2(3 - x) - 12 + 4x

1. 3x - 6

2. 3x - 7

3. 2x - 6

4. 2x - 7

Answers

You would distribute then combine like terms to get your answer.

There are 15 students on the chess team. Seven of the students are in the fourth grade.

Which shows the fraction of the team that is in the fourth grade?

A.

4

5

B.

7

15

O

C

8

15

OD. 15

7

Answers

Answer:

7/15 (B)

Step-by-step explanation:

7 fourth graders out of 15 total = 7/15

find the value of n the equation 1/2(n+4)=6​

Answers

Answer:

n = 8

Step-by-step explanation:

1/2(n + 4) = 6

1/2 of n + 2 = 6

6 - 2 = 4

4 × 2 = 8

1/2 of 8 + 2 = 6

4 + 2 = 6

n = 8

the answer is n=8 for this problem

What is the product?

213 × 314

Answers

Answer:

66882

Step-by-step explanation:

Answer:

product

Step-by-step explanation:

213×314=66,882

5x-11=24
????????????

Answers

Answer:

x= 7

Step-by-step explanation:

5x-11=24

  +11   +11

5x   =  35       35/5 = 7        x=7

5(7) - 11 = 24

35 - 11 = 24

Answer:

x=7

Step-by-step explanation:

5x7= 35

35-11=24

5x7-11=24

hope this helps!!!

Find the slope of the line that passes through(9,36) (93,-10)?

Answers

Answer:

[tex]m = -\frac{23}{42}[/tex]

Step-by-step explanation:

here is the equation for slope (m):

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

where:

y₂ = y-coordinate of 2nd point = -10

y₁ = y-coordinate of 1st point = 36

x₂ = x-coordinate of 2nd point = 93

x₁ =  x-coordinate of 1st point = 9

plug values into equation:

[tex]m =\frac{-10-36}{93-9} \\\\m = \frac{-46}{84} \\[/tex]

reduce the fraction:

[tex]m = -\frac{23}{42}[/tex]

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