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.
Answers
Answer:Suppose that the equations are:
The number of people increases exponentially as the temperature increases, so we can write this as a simple exponential relation.
N(T) = a0*r^(T)
Also, the number of people that leaves the park as the temperature increases are:
M(T) = a*T + b
So the combination of these equations can say the number of people that are arriving to the park minus the number of people that are leaving, this would be:
N(T) - M(T) = total change in the park population as the temperature changes = C(T)
C(T) = a0*r^(T) - a*T - b
Step-by-step explanation:
Related Questions
A: 5x²+3xy +2y B: 2y²-xy +4x²
С: 12xy+4x²-3y. then :- 1) А-В-С , 2) 2A+3B+4C 3)3A-4B--2C. pls help me will mark u as brainliest
Answers
Answer:
-3x² -2y² -8xy +5y
34x² + 51xy - 8y + 6y²
7x² - 11xy +12y - 8y²
Step-by-step explanation:
Given:
A: 5x²+3xy +2y
B: 2y²-xy +4x²
С: 12xy+4x²-3y
Find:
1) А-В-С
2) 2A+3B+4C
3) 3A-4B--2C
Computation:
1) А-В-С
5x²+3xy +2y - [2y²-xy +4x²] - [12xy+4x²-3y]
5x²+3xy +2y -2y² +xy -4x² -12xy -4x²+3y
-3x² -2y² -8xy +5y
2) 2A+3B+4C
2[5x²+3xy +2y]+3[2y²-xy +4x²]+4[12xy+4x²-3y]
10x² + 6xy + 4y + 6y² - 3xy + 8x² + 48xy + 16x² - 12y
34x² + 51xy - 8y + 6y²
3) 3A-4B-2C
3[5x²+3xy +2y]-4[2y²-xy +4x²]-2[12xy+4x²-3y]
15x² + 9xy + 6y -8y² + 4xy - 16x² - 24xy - 8x² +6y
7x² - 11xy +12y - 8y²
you ride through some wet paint on your bike creating a red spot on the tire. write a cosine equation to model the height of the red spot over the distance you ride.
Your bike tire has a radius (r) of 11 inches.
The period is the circumference of the tire (2pir)
start the cycle when the spot is at the top of the tire
Answers
Answer: y = 11 cos (1/11x) +11
Step-by-step explanation:
Writing a cosine equation to model the height of the red spot over the distance you ride will be:
D. [tex]y=11 cos (1/11x) + 11[/tex]Some cosine formulas are:
[tex]cos A= (b2+c2-a2)/(2bc)[/tex]What is a cosine equation?A cosine equation or formula is is one of the three most common trigonometric function. It is the trigonometric function that equals the ratio of the side adjacent to an acute triangle to the hypotenuse.
Therefore the correct answer is option D.
Read more about cosine equation here:
https://brainly.com/question/17075439
Graph the line through the points (-6,4) and (0,-4)
Answers
Y intercept -4
Equation y=-4/3x-4
If Maria makes $40 each day at her job, and she gets paid $20 for a training course
Answers
Answer:
Where is the rest of the question?
Step-by-step explanation:
40x +20
B. 13 (x - 10) = -4
Answer: x =
Its a neg #
Answers
you have to distribute the 13 to x and -10 which gives you 13x-130=-4 then you add 130 to -4 because your going over the equal sign and it gives you 126 next you divide 126 by 13 which gives you 9.69
. What is the ordered pair that satisfies the system 2x - 7y >5 and 3x-y S4?
A.(-1, -3)
B.(10, -1)
C.(-4, 6)
D.(-2,-8)
3. Which of the following is not a solution to this system?
Answers
Answer:
(-1, -3)
Step-by-step explanation:
What is the ordered pair that satisfies the system 2x - 7y >5 and 3x-y < 4?
Using the coordinate point (-1, 3)
If x = -1 and y = 3
Substitute into the expressions and check if they are true
2x - 7y >5
= 2(-1)-7(-3)
= -2 + 21
= 19
Since 19 is greater than 5, hence the inequality 19 > 5 is true
Substituting into 3x - y < 4
3(-1)-(-3)
= -3 + 3
= 0
Since 0 < 4, hence this is also true for the inequality.
The coordinate point that satisfies the inequality is therefore (-1, -3)
What is the y-intercept?
Answers
I hope this helps
PLS NEED DONE ASAP 10 MINUTES TILL DUE
Answers
Then 3 red + 2 blue = 1 green + 2 blue, so 3 red = 1 green
If we know these facts then
3 red = 2 blue = 1 green
So the bottom one is 6 reds = 2 greens, or 1 green + 2 blue.
This makes my head hurt. They’re making it harder than it is.
Hope I didn’t confuse you more.
WILL GIVE BRAINLEST Find the measure of the arc or central angle indicated. Assume that lines which
appear to be diameters are actual diameters.
find the measure of arc FHJ
Answers
Answer:
It should be 261 degrees.
Step-by-step explanation:
10 Points<>I need help ASAP!!!
Answers
Answer:
Step-by-step explanation:
A and D
A population numbers 15,500 and grows at 3.75% per year. Write an exponential model for the growth of this population.
Answers
Answer: [tex]f(x)=15500(1.0375)^x[/tex]
Step-by-step explanation:
The exponential model for growth is given by :-
[tex]f(x)=A(1+r)^x[/tex], where A = initial value , r = growth rate (in decimal), x = time (in years).
Given: A= 15,500 r= 3.75% = 0.0375
The exponential model for the growth of this population will be :
[tex]f(x)=15500(1+0.0375)^x\\\\\Rightarrow\ f(x)=15500(1.0375)^x[/tex]
hence, the required model: [tex]f(x)=15500(1.0375)^x[/tex]
Out of the 96 customers at Jamie's boutique, 28 wore a size medium.
What is the probability that a randomly selected customer wore a size medium?
Answers
Answer:
7/24
Step-by-step explanation:
The probability would be 28/96, but we can simplify this fraction:
Divide 2 on both sides:
14/48
Divide 2 again:
7/24
So 7/24 is your answer! :) I hope I helped!
I NEED THIS RN AS FAST AS POSSIBLE! Your teacher decides to split the class into four equal groups with no more than five students in each group. that represents the number of students in the class.
Answers
Answer:
option 1 i think
Step-by-step explanation:
imma just take these 5 points back
please help me with this
Answers
Answer:
Y=MX+C is the equations of a straight line where C is the constant (y intercept)
Looking at a and b and the two graphs c and d
The function c represents the lowest value of the y intercept which is at -3
what’s the slope_____
Answers
Answer:
-4
Step-by-step explanation:
The formula for finding the slope of a line is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] when the given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. We can take any two points given to us from the table and plug them into that expression. For example, we can use the points (0,0) and (2,-8).
[tex]\frac{y_2-y_1}{x_2-x_1}\\= \frac{-8-0}{2-0}\\= \frac{-8}{2}[/tex]
Simplify the fraction
[tex]= -4[/tex]
Therefore, the slope of the line is equal to -4.
I hope this helps!
ayundenme
1) 7 2 − 10 3 − 15 5 −12 2 + 8 3 − 21 4 − 13 5
2) −82 − 213 − 515 −212 + 183 − 74 − 225
3) −82 − 212+1 − 512+2 −212 + 182+1 − 72+2
4) −1.1 2 3 + 2.25 3 4 + 10.1 4 5 1.8 2 3 − 1.2 3 4 − 1.65 4 5
Answers
Answer:
I
1)-574 2)-874 3)-902 4)No answer bz have two dismal place
does anyone know what this is ?
Answers
9514 1404 393
Answer:
x = 2
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relations between trig functions and angle.
Tan = Opposite/Adjacent
tan(θ) = y/x
Sin = Opposite/Hypotenuse
sin(θ) = y/4
The given relation is ...
tan(θ) = 2·sin(θ)
y/x = 2(y/4)
2 = x . . . . . . . multiply by (2x/y)
_____
Additional comment
Then the angle can be found from the relation ...
Cos = Adjacent/Hypotenuse
cos(θ) = x/4 = 2/4 = 1/2
θ = arccos(1/2) = 60°
and the value of y is ...
y = 4·sin(60°) = 2√3
Round 0.9271 to the nearest whole number.
Answers
Answer:1
Step-by-step explanation:
Because 9 is a rich numbers uwill borrow one to the other side so it will become 1.0000
Answer:
1 is round off of 0.9271to the nearest whole number.
HELPPP PLEASEEEEEEE I NEED HELP
Answers
Answer:
Part A: -3x^8 + 2x^5 + 4x^3
Part B: 8
Part C: 3
Part D: -3x^8
Part E: -3
Step-by-step explanation:
A. Standard polynomial is :
[tex] - 3 {x}^{8} + 2 {x}^{5} + 4 {x}^{3} [/tex]
B. Degree of the polynomial is : 8
C. Number of terms are : 3
D. Leading term of the polynomial is:
[tex]-3 {x}^{8} [/tex]
E. Leading co effecient of the polynomial is: -3
Please help with 3 thank you!
Answers
Answer:
Step-by-step explanation:
ILL GIVE BRAINLIEST FOR FIRST ANSWER HELP
What is the volume of this rectangular prism?
Answers
Answer:
The answer is 56 cm^3
Step-by-step explanation:
2 = height
7 = length
4 = width
Formula: LxWxH
2 x 7 x 4 = 56
If using the method of completing the square to solve the quadratic equation
x2 + 7x – 27 = 0, which number would have to be added to "complete the
square"?
Answers
To determine the constant that makes the expression (x² + kx) a perfect square,
Take the coefficient of the second term which is k and ÷2
In this case, it is (7/2)²
At the end it looks like
x² + 7x + (7/2)² = 27 + 49/4
(x + 7/2)² = 157/4
The number is added is 7/2² or 49/4.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
x² + 7x – 27 = 0.
Now, we have to half the coefficient of x and then add and subtract the square of half the coefficient of x
So, x² + 7x – 27 +7/2² - 7/2² = 0.
( x+ 7/2)² – 27- 49/4 = 0.
( x+ 7/2)² = 157/4
Hence, the number is added is 7/2² or 49/4.
Learn more about equation here:
https://brainly.com/question/10413253
#SPJ5
Please help me........
Answers
Answer: i don't know
Step-by-step explanation:
hi i don't know any of this stuff i hope you don't learn anything Bye
Rewrite the function by completing the square.
f(x) = x^2 + 14x + 64
Answers
Step-by-step explanation:
step 1. (x^2 + 14x + 49) + 15
step 2. (x + 7)^2 + 15.
At the student store, pencils are sold in either packs of three or packs of eight.
Without opening any packages, which numbers of pencils is it possible to buy?
Which numbers are impossible?
Answers
Answer
4, 7, 5, 10, 13, .......
Step-by-step explanation:
the only numbers that are impossible to get are the non-multiples of 3 and 8
and the numbers that 8 and 3 do not add up to and the multiples of 8 and 3 do not add up to
One of the angles of a parallelogram is 36 degree greater than another one. Find the angles of the parallelogram
Answers
Answer:
72, 72, 108, 108
Step-by-step explanation:
x, x, x+36, x+36 =360
4x=288
x=72
so, x=72, x=72, x=108, x=108
Answer:
72*, 72*, 108*, 108*
90% of e is 30. What is e?
Answers
Answer:
27
Step-by-step explanation:
Answer:
e = 33.3 (approx. )Step-by-step explanation:
To find out - 'e'
Given,
90 % of e = 30
[tex] = > \frac{90}{100} \times e = 30[/tex]
[tex] = > e = 30 \times \frac{100}{90} [/tex]
[tex] = > e = \frac{100}{3} [/tex]
=> e = 33.3333......
=> e = 33.3 (approx. ) (Ans)
pregón de servicio
kjjj
Answers
Answer:
what
Step-by-step explanation:
Angle ABC is a straight angle. The measure of angle ABD is x. What is the value of x?
Answers
Answer:
45 degrees
Step-by-step explanation:
A straight angle is equal to 180, so subtract 135 from 180
Answer:
45
Step-by-step explanation:
I need help with the picture. please
Answers
you have to use the order of operations (PEMDAS)
x=3
7+5(3)
MULTIPLACTION FIRST
7+15= 22
so the first was wrong because she added before multiplying
x= 4/5
7+5(4/5)
MULTIPLICATION FIRST
7+4= 11
the second was wrong because she added before multiplying again