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 g(x) = −x 6. The graph of the two functions is below. Find the solution to the two functions and explain what the solution represents.

Answers

Answer 1

Answer:

See the Analysis

Step-by-step explanation:

Solution: From the problem

[tex]\left \{ {{f(x)=5^{x} } \atop {g(x)=-x+6}} \right.[/tex]

From 1 and 2

[tex]5^{x}=-x+6\\ x=1, y=5[/tex]

It means that the temperature is leaving as many people as it is increasing.


Related Questions

Please help I need this please Ill brainy just please help

Answers

Answer: b

Step-by-step explanation:

If you plug in 1000 for x and 1500 for y, choice b will be the only equation that is true

what will be the VO2 max of an athlete at 33

Answers

Answer:

VO2 Max Chart for Men (ml/kg/min)                      

Classification 18-25 66+

Good 52-60 33-37

Above average 47-51 29-32

Average 42-46 26-28

Below average 37-41 22-25

Step-by-step explanation:

What is the exact volume of the cylinder?

Answers

π r² h
A cylinder's volume is π r² h, and its surface area is 2π r h + 2π r². Learn how to use these formulas to solve an example problem.


Hope it helps and pls mark brainlest

I need help with this math

Answers

Answer:

EF =11 ft

Step-by-step explanation:

if CB = 11ft then EF will also be 11 ft since both triangles are congruent to each other

what is the area of a triangle?

Answers

Answer: A=hbb2

Step-by-step explanation: For a triangle, we can find it by adding the lengths of its three sides. We can find the length of the fencing required for a triangular park by finding the perimeter of the triangle.

The area of a triangle is base x height divided by 2. A= bh/2.
If a triangle base is 10 and the height 5 so the area will be 10x5 = 50 /2 = 25. The area is 25.

find the hight of cylinder with a volume of 100cm3 and a radius of 2 cm??​

Answers

Answer:

7.95775

Step-by-step explanation:

volume = pi*r^2*h

Using the formula

V=πr2h

Solving for h

h=V/πr2

=100/π·2^2≈7.95775

50 points and will mark the brainliest soooo please answer

Answers

Answer:

2 1/4 cups i think

Step-by-step explanation:

please help me find the total surface area

Answers

If it is a Square pyramid, you’ll need to find the area of your base + the 4 triangular sides of the pyramid . If s=14 on one side, then you can find the base of your pyramid by doing 14^2. To find the triangles, you do (14 x 13)/2 x 4, or do (14 x 13) x 2. Once you find the area of all the surfaces, add them all together to get your total surface area.

help me find total surface area

Answers

Answer:

144 square feet

Step-by-step explanation:

First. the base is 6 by 6, meaning the surface area of it is 36 square feet. Then, we do a single triangle, whose area is (6*9)/2, or 27. 27*4 is 108, so the answer will be 108+36=144.

Answer is: 144 square feet

Have a great day! :)

(-2,y) and (2,4); slope: 1/4

Answers

Answer:

y =3

......

.....

....

.....

What is the smallest number that has a remainder of 1, 2, and 3 when divided by 2, 3, and 4, respectively? Are there more numbers that have this property? ​

Answers

Answer:

11 is the answer.

Step-by-step explanation:

11 and 23 are the answers.

Step-by-step explanation:

Multiple of 2 increase 1 =

[tex]3,5,7,9,11,13,15,17...[/tex]

Multiple of 3 increase 2 =

[tex]5,8,11,14,17...[/tex]

Multiple of 4 increase 3 =

[tex]7,11,15,19...[/tex]

Here, we can see the smallest number is 11

There are more numbers having this property such as 23.

[tex]23 \div 2 = 11...1[/tex]

[tex]23 \div 3 = 7...2[/tex]

[tex]23 \div 4 = 5...3[/tex]

Identify whether the conclusion was a result of induction or deduction. Write D if it is Deductive and I if it is Inductive on the space provided.
__________1. A quadrilateral has four sides.
A rectangle has four sides.
A rectangle is a quadrilateral.

__________2. If an angle is obtuse, then it cannot be acute.
__________3. If 3, 6, 9 and 12 are the first four terms, then 15 is the fifth term.
__________4. Ray is to an angle as side is to a triangle.
__________5. Trees can be found in a forest.
Birds live on trees.
Therefore, birds can be found in a forest.
__________6. If 3:6, 6:18 and 12:54, then 24:162
__________7. All animals are mortal.
All humans are animals.
Therefore, all humans are mortal.
__________8. If a polygon has five sides, then it is a pentagon.
__________9. All trees are plants.
All acacia are trees.
Thus, all acacia are plants.
__________10. If a number is divisible by 2, then it is even.

Answers

Answer:

34 is the right answer I have already done it

Which expression calculates the speed in meters per second of an object that travels a distance of 40 m every 10 s?
10÷40
or
40 + 10
or
40/10
or
40×10

Answers

40x10 is the correct one

Answer:

40/10  [4 meters/sec]

Step-by-step explanation:

Watch for what the units are telling us.  The number that is being requested  

is speed in units of meters/sec.  We are given 40 meters and 10 seconds.  If we divide 40 meters by 10 seconds (10 meters/10 seconds), we get 4 meters/sec, the correct dimension.

Consider this equation. |y 6| = 2 What can be concluded of the equation? Check all that apply. There will be one solution. There will be two solutions. The solution to –(y 6) = 2 will be also be a solution to the given absolute value equation. The solution(s) will be the number(s) on the number line 2 units away from –6. The value of y must be positive since the variable is inside absolute value signs.

Answers

Answer:

2,3,4

Step-by-step explanation: i just got that answer

The Answers are 2,3, and 4.

2. There will be two solutions.

3. The solution to –(y + 6) = 2 will be also be a solution to the given absolute value equation.

4. The solution(s) will be the number(s) on the number line 2 units away from –6.

In the United States, how many children under age 11 studied a language other than English in school

Answers

Answer:

less than 5%

Step-by-step explanation:

In the USA less than 5% of children under the age of 11 study a language other than English at school

Hopefully this helped- have a good day)

What is the equation of the line????????

Answers

Answer:

y=1/2x+2

Step-by-step explanation:

The equations come in the form of y=mx+c, where m is the gradient and c is the y-intercept. Looking at the graph we know that the y-intercept is (0,2), so that rules out options B and C.

To find the gradient is a little more tricky, but we can follow the formula:

[tex]\frac{rise}{run}[/tex], where rise is the vertical value and run is the horizontal value

So we sub in our values:

[tex]\frac{2}{4}[/tex]

And simplify:

[tex]\frac{1}{2}[/tex]

So now we sub in our new found values into y=mx+c:

y=1/2x+2

Answer: y = x/2 + 2 which is the 4th option from the top

Step-by-step explanation:

First find the slope which is (0-2)/(-4-0) = 2/4 = 1/2

So it's y = x/2 + c

Substituing (-4,0) into the equation we get

0 = -4/2 + c

0 = c-2

c = 2

So the equation is y = x/2 + 2 which is the 4th option from the top

Can someone please help me with these 3 problems? Tysm!! Will give brainleist!!

Answers

Answer:

8)  14

10) 1

12) 81

Step-by-step explanation:

For number eight, you have to multiply out by 2. For example,

9 x 2= 18

2 x 2= 4

7 x 2= 14

For number ten, you have to subtract by 9. For example,

51 - 42= 9

10 - ___= 9

the space would be 1 because 10-1 equals 9

For number 12, you have to multiply out by 9

5 x 9=45

10 x 9= 90

9 x9= 81

A student tosses a coin and then spins a spinner that has 5 equal sections labeled 1 through 5.

What is the sample space for this compound event?


{HT1, HT2, HT3, HT4, HT5}

{H1, T1, H2, T2, H3, T3, H4, T4, H5, T5}

{H, T, 1, 2, 3, 4, 5}

{H1, T1, H5, T5}

please hurry

will give brainiest

Answers

Answer:

{H1, T1, H2, T2, H3, T3, H4, T4, H5, T5}

Step-by-step explanation:

You can only have a tail or head with the numbers 1 to 5. Since, there's one coin tossed.

Hope this helps!

Answer:

The answer is the 2nd option! {H1, T1, H2, T2, H4, T4, H5, T5}

Para estudiantes de Español:

La respuesta es la opción número 2! {H1, T1, H2, T2, H4, T4, H5, T5}

Step-by-step explanation:

This is correct!

Este es correcta!

hey can someone please explain this step by step

Answers

Answer: z = [tex]\sqrt{10}[/tex]

Step-by-step explanation:

To find z, you must set up a proportion to solve.

To find the altitude of a special right triangle, the formula is:

[tex]\frac{a}{x} =\frac{x}{b}[/tex]

You can use 5 as a and 2 as b to complete the proportion:

[tex]\frac{5}{x} =\frac{x}{2}[/tex]

Next, to solve:

Step 1: Cross-multiply.

[tex]\frac{5}{z} =\frac{z}{2}[/tex]

(5)*(2) = z*z

10 = z²

Step 2: Take square root.

10 = z²

√10 = z

I hope this helps!

Please help me
What are the equations to these lines?

Answers

Answer: -1,-1 + -2,-1

Step-by-step explanation:

You first take the verticle line and then the horizontal line and then you add point be by point A so basically its supposed to be -1+(-1)+(-1)+(-2) if I'm right.

Sherry earns $16 per hour tutoring student-athletes at Montgomery College. If she tutored for 14.5 hours last month, how much money did she earn?

Answers

Answer:$232

Step-by-step explanation:14.5x16=232

Answer:

$232

(If you want to round, the answer would be $200)

Step-by-step explanation:

This is just a one-step equation:

16 x 14.5 = $232

Danielle has taken five math tests so far this year. The tests are out of twenty points, and she has gotten the following scores.

17, 19, 20, 14, 16

What is the median of her scores?

17.2
16
6
17

Answers

The median of her scores would be 17

Answer:

its 17 I took the test

Step-by-step explanation:

athan thinks all factors of even numbers are even. Is Rathan correct or incorrect?

Answers

Answer

rathan is incorrect

Step-by-step explanation:

Factors of an even number are not always even. Even numbers don't have to HAVE  even factors  they just have to be divisible by 2

What is 4x4x4x5x5 as an index notation

Answers

Answer:

4^3 x 5^2

Step-by-step explanation:

Please Help, Im struggling

Answers

I believe 19.54 m is the answer

BRAINLY HELP ME PLSS

Answers

Answer:

9/9/108/126

Step-by-step explanation:

1/2bh is how you find the area of a triangle ! :)
This means that for both triangles, the area is 2 times the height, 9, then multiplied by one half. The area is 9 for both the left and right triangle.

The area of the rectangle is the product of the two lengths: 9 and 12, which is 108.

This means that the area of the entire trapezoid is 126.   :D

Find the area of the isosceles triangle below.

Answers

Answer:

A = 78 sq in

Step-by-step explanation:

Area of a triangle:

A = 1/2•b•h

= 1/2•26•6

= 78 sq in

help me solve for x please

Answers

Answer:

I got u x= 29.    ( Your welcome )

Step-by-step explanation:

3x+15 +2x+20=180  because a line is 180 duhh

we collect like terms and we get

5x +35=180 we decrease in both sides by 35

5x=145

x=145/5

x=29

The product of a number and ten is twelve
translate into algebraic equation and solve

Answers

Answer:

The number is 1.2 and the algebraic equation is 10x=12

Step-by-step explanation:

Since the product of a number and ten is 12, we can express it as the algebraic equation x*10=12, where x is any number.

x*10=12

10x=12

x=12/10

x=1.2

Therefore, The number is 1.2

Find the domain of f(x)=5x/x+2

Answers

Answer:

Domain:

(− ∞, ∞ )

Step-by-step explanation:

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

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