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.

Answer:

h = 6

Step-by-step explanation:

Substitute the given to its corresponding places.

30 = [tex]\frac{1(10)h}{2}[/tex]

30 = 10h/2

Multiply both sides by two to remove the denominator.

2 [30 = 10h/2] 2

60 = 10h

Divide both sides by 10 to isolate h.

h = 6

To check, substitute everything to the original equation:

A = [tex]\frac{1(10)(6)}{2}[/tex]

A = 30 !

⅘×25=20

of means times.

Answer:

E. [tex] \purple { \bold{ \frac{2}{3} ( \frac{x - 1}{x} ) \sqrt{\frac{x - 1}{x} } + c }}[/tex]

Step-by-step explanation:

[tex] \int \sqrt{ \frac{x - 1}{ {x}^{5} } } dx \\ \\ = \int \sqrt{ \frac{x - 1}{ {x}^{4} .x} } dx \\ \\ = \int \frac{1}{ {x}^{2}}\sqrt{ \frac{x - 1}{ x} } dx \\ \\ = \int \frac{1}{ {x}^{2}}\sqrt{ 1 - \frac{1}{ x} } dx \\ \\ let \: 1 - \frac{1}{ x} = t \\ \\ \implies \: \frac{1}{ {x}^{2} } dx = dt \\ \\ \implies \int \frac{1}{ {x}^{2}}\sqrt{ 1 - \frac{1}{ x} } dx = \int \sqrt{t} dt \\ \\ = \int {t}^{ \frac{1}{2} } dt \\ \\ = \frac{t ^{ \frac{3}{2} } }{ \frac{3}{2} } + c \\ \\ = \frac{2}{3} t ^{ \frac{3}{2} } + c \\ \\ = \frac{2}{3} \sqrt{ {t}^{3} } + c \\ \\ = \frac{2}{3} t\sqrt{ {t} } + c \\ \\ = \frac{2}{3} (1 - \frac{1}{x} ) \sqrt{1 - \frac{1}{x} } + c \\ \\ \red{ \bold{= \frac{2}{3} ( \frac{x - 1}{x} ) \sqrt{\frac{x - 1}{x} } + c }}\\ \\ [/tex]

Complete Question:

Emily and Zach have two different polynomials to multiply: Polynomial product A: (4x2 – 4x)(x2 – 4) Polynomial product B: (x2 + x – 2)(4x2 – 8x) They are trying to determine if the products of the two polynomials are the same. But they disagree about how to solve this problem.

Answer:

[tex]A = B[/tex]

Step-by-step explanation:

See comment for complete question

Given

[tex]A: (4x^2 - 4x)(x^2 - 4)[/tex]

[tex]B: (x^2 + x - 2)(4x^2 - 8x)[/tex]

Required

Determine how they can show if the products are the same or not

To do this, we simply factorize each polynomial

For, Polynomial A: We have:

[tex]A: (4x^2 - 4x)(x^2 - 4)[/tex]

Factor out 4x

[tex]A: 4x(x - 1)(x^2 - 4)[/tex]

Apply difference of two squares on x^2 - 4

[tex]A: 4x(x - 1)(x - 2)(x+2)[/tex]

For, Polynomial B: We have:

[tex]B: (x^2 + x - 2)(4x^2 - 8x)[/tex]

Expand x^2 + x - 2

[tex]B:(x^2 + 2x - x - 2)(4x^2- 8x)[/tex]

Factorize:

[tex]B:(x(x + 2) -1(x + 2))(4x^2- 8x)[/tex]

Factor out x + 2

[tex]B:(x -1) (x + 2)(4x^2- 8x)[/tex]

Factor out 4x

[tex]B:(x -1) (x + 2)4x(x- 2)[/tex]

Rearrange

[tex]B: 4x(x - 1)(x - 2)(x+2)[/tex]

The simplified expressions are:

[tex]A: 4x(x - 1)(x - 2)(x+2)[/tex] and  

[tex]B: 4x(x - 1)(x - 2)(x+2)[/tex]

Hence, both polynomials are equal

[tex]A = B[/tex]

Answer:

One Solution

Step-by-step explanation:

Trust me

Answer:

Yes, the sides are in the ration 2:5!

Step-by-step explanation:

Hope this helps.

Answer:

  The correct answer is B. Yes, the sides are in the ratio 2:5.

Step-by-step explanation:

Hope this helps, and have a wonderful day! :)

Answer:

Step-by-step explanation:

y = -1 for x = 0 {point(0, -1)} means -1 at the end of formula

If we add 1 to y-coordinate of  every given point we get the squares of x-coordinate:

(1, 0):   1² - 1 = 0

(2, 3):   2² - 1 = 4 - 1 = 3

(3, 8):   3² - 1 = 9 - 1 = 8

(4, 15):   4² - 1 = 16 - 1 = 15

So for any x:

(x, y)   y = x² - 1

Answer:

Option a.) an = -4(-3)^(n-1)

Answer:

area = 472 in^2

Step-by-step explanation:

19 x 8 x 3 = 456 in^2 for large rectangle

1/2 x 2 x 8 x 2 = 16 in^2 for triangles

area = 456 + 16 = 472 in^2

Answer: He split it into unequal halves which would make his way wrong. the correct way to do it would be to cut it so all the lines met in the middle of the pie

Step-by-step explanation:

Answer:

C.  [tex]r=\sqrt[3]{\frac{3V}{4\pi}}[/tex]

Step-by-step explanation:

Answer:

enerji dengesi korunur. Dayanıklılık ve performans yüksektir.Sporda oluşan kas ağrıları minimizedir ve doğru beslenme ile egzersizde yaşanılan kas yıkımı

telafi edilebilir

i think part a is: yes because both triangles are right angles. it would be postulate SAS

not sure for part b

Answer: Mr. Jessup will fly 11,600 miles in 8 days. This is because if he flies 1,450 miles a day, and he flies in 8 days, just multiply 1,450 and 8.

Step-by-step explanation:

Answer:

-120/169

Step-by-step explanation:

Sin2theta = 2sintheta costheta

Given that tan theta = -12/5

Opposite = -12

Adjacent = 5

Using Pythagoras theorem

Hyp = √(-12)²+5²

Hyp = √144+25

Hyp = √169

Hyp = 13

Cos theta = adj/hyp

Cos theta = 5/13

Sin theta = opp/hyp

Sin theta = -12/13

Substitute

Sin2theta = 2(-12/13)(5/13)

Sin2theta = -120/169

Hence sin 2theta = -120/169

Answer:

option A

Step-by-step explanation:

option A y = 9√3 is the correct answer .

In∆ PQR

cos 30 = y /18

√3/2 = y / 18

y = 9√ 3

plz mark my answer as brainlist plzzzz.

hope this will be helpful to you .

Answer:

0.019404

Step-by-step explanation:

0.75/38.652 is 0.019404.

Answer:

Divide  0.75  by  38.652  =

0.01940391

and

Divide  38.652  by  0.75 =

51.536

Step-by-step explanation:

Answer:

the degree of the equation is 1

Answer:

25×2,06 5,2×7,6

4,002×35 45,07×5,1

103×2,12 3,02×0,25

12,5×11 7,52×6,002

Step-by-step explanation:

;lfk;dlj

Answer:

pls mark brainlest Even though it landed on heads 8/10 times, ther's still a 50% chance that it will land on tails.

Answer:

1

Step-by-step explanation:

d=-4 , f = 3

so, [8-(-4)]/4 × 3

= (8+4)/12

= 12/12

=1

Hope it helps

Answer:

1 is the answer

Step-by-step explanation:

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

Answer:

Tried my best..... Hope it helps! :)

Answer:

x=(-40)

Step-by-step explanation:

x+29= (-11)

x+29=(-11)

  -29=-29

x=(-40)

Answer:

x=-11+29

x=18

Step-by-step explanation:

Answer:

A. 2

B.1

C.3

D. (should be x and 7x but that isnt an answer choice so) no

Step-by-step explanation:

For given expression x + 3 + 7x,

a) the number of terms in an algebraic expression = 2

b) the numerical coefficient of the first term = 1

c) the constant term = 3

d) the like terms are x and 7x

"It is a mathematical expression that consists of variables, numbers and operations."

"It is a value or number that never changes in expression."

"The like terms are defined as the terms that contain the same variable which is raised to the same power."

For given example,

We have been given an expression  x + 3 + 7x

a) x + 3 + 7x = 3 + (1 + 7)x

                    = 3 + 8x

So, the number of terms in the algebraic expression = 2

b) for given expression x + 3 + 7x,

the first term is x

x = (1) × (x)

the numerical coefficient of the first term is 1.

c) for given expression x + 3 + 7x,

the constant term = 3

d) for given expression x + 3 + 7x,

the like terms are x and 7x

Learn more about expression here:

https://brainly.com/question/13947055

#SPJ2

Answer:

Mean- 14.5

Median- 15.5

Interquartile Range- 7.5

Step-by-step explanation:

The mean is a type of average. It is the sum (total) of all the values in a set of data.

The median is the middle number in a sorted, ascending or descending, list of numbers.

The interquartile range describes the middle 50% of values when ordered from lowest to highest.

Answer:

the money left is $487.50

Step-by-step explanation:

The computation of the money left is shown below:

= Total money - spent money

= $750 - $750 × 35%

= $750 - $262.50

= $487.50

Hence, the money left is $487.50

We simply deduct the spent money from the total money

I am so confused RN what are u asking