Answer:
Step-by-step explanation:
Given the profit a club makes after paying for the bank and other costs modeled by the function
p(t) = -16t^2 - 800t - 4000
t is the ticket price
The maximum profit occurs when dp/dx = 0.
dp/dx = -32t-800
since dp/dx
0 = -32t-800
32t = -800
t = -800/32
t = - 25
Hence ticket price gives the maximum profit is $-25
b) to get the maximum profit, substitute t = -25 into the modelled function
p(t) = -16t^2 - 800t - 4000
p(-25) = -16(-25)² - 800(-25)- 4000
p(-25) = -10000+20000-4000
p(-25) = 6000
Hence maximum profit is $6000
c) To get the ticket prices would generate a profit of $5000, we will substitute p(t) = 5000 and find t
p(t) = -16t^2 - 800t - 4000
5000 = -16t^2 - 800t - 4000
-16t^2 - 800t - 4000 -5000 = 0
16t^2 + 800t + 9000 = 0
Answer:
Step-by-step explanation:
Given the profit a club makes after paying for the bank and other costs modeled by the function
p(t) = -16t^2 - 800t - 4000
t is the ticket price
The maximum profit occurs when dp/dx = 0.
dp/dx = -32t-800
since dp/dx
0 = -32t-800
32t = -800
t = -800/32
t = - 25
Hence ticket price gives the maximum profit is $-25
b) to get the maximum profit, substitute t = -25 into the modelled function
p(t) = -16t^2 - 800t - 4000
p(-25) = -16(-25)² - 800(-25)- 4000
p(-25) = -10000+20000-4000
p(-25) = 6000
Hence maximum profit is $6000
c) To get the ticket prices would generate a profit of $5000, we will substitute p(t) = 5000 and find t
p(t) = -16t^2 - 800t - 4000
5000 = -16t^2 - 800t - 4000
-16t^2 - 800t - 4000 -5000 = 0
t^2 + 50t + 562.5= 0
Factorize
-50±√2500-4(562.5)/2
t = -50±√2500-2250)/2
t = -50±15.81/2
t = -65.81/2 and -34.19/2
t = -32.91 and -17.09
Which set of ordered pairs represents a function? \{(2, 9), (5, 9), (1, -6), (-5, 5)\}{(2,9),(5,9),(1,−6),(−5,5)} \{(6, 6), (6, 8), (-8, -7), (-3, -8)\}{(6,6),(6,8),(−8,−7),(−3,−8)} \{(1, 8), (9, -3), (7, -4), (7, -6)\}{(1,8),(9,−3),(7,−4),(7,−6)} \{(-5, -1), (-3, -7), (-5, 3), (-7, -4)\}{(−5,−1),(−3,−7),(−5,3),(−7,−4)}
Given:
The set of ordered pairs.
To find:
Which set of ordered pairs represents a function?
Solution:
A set of ordered pairs represents a function, if there exist unique output value for each input value.
In option A,
{(2, 9), (5, 9), (1, -6), (-5, 5)}
It is a function because all input has unique outputs.
In option B,
{(6, 6), (6, 8), (-8, -7), (-3, -8)}
For x=6, there exist two outputs y=6 and y=8. So, it is not a function.
In option C,
{(1, 8), (9, -3), (7, -4), (7, -6)}
For x=7, there exist two outputs y=-4 and y=-6. So, it is not a function.
In option D,
{(-5, -1), (-3, -7), (-5, 3), (-7, -4)}
For x=-5, there exist two outputs y=-1 and y=3. So, it is not a function.
Therefore, the correct option is A.
From the given option, the set of ordered pairs that represents a function is {(2, 9), (5, 9), (1, -6), (-5, 5)\}
Ordered pair of a functionA coordinate is known to represents a function if all the domain values have a unique value in the codomain.
The x-coordinate point should not be repeated for the coordinate to be a function, otherwise it is not a function.
From the given option, the set of ordered pairs that represents a function is {(2, 9), (5, 9), (1, -6), (-5, 5)\}
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cc is guaranteed the larger of $500 per week or 7% of sales. last week she
sold $6785. Will she earn her weekly salary or commission for this week?
A. salary
B. commission
Answer:
commission
Step-by-step explanation:
the worker is paid primarily through a percentage of their sales total for the commission than a salary or an hourly wage.
so is commission.
Help me with this! Solve for x
Answer:
x=6
Step-by-step explanation:
Line ZW and YX are parallel, which means they have the same measurements.
Therefore:
3x+2=20
subtract two from both sides
3x=18
divide by 3
3x/3=18/3
x=6
hope this helps =D
One endpoint of a line segment has coordinates represented by (x+4,12y). The midpoint of the line segment is (3,−2).
How are the coordinates of the other endpoint expressed in terms of x and y?
A: (2x−2,1/2y−2)
B: (10−x,−1/2y)
C: (x+2,2−1/2y)
D: (2−x,−4−1/2y)
what is the answer?
Answer:
Required Answer:-If [tex]\triangle[/tex] ABC is a isosceles triangle thenAB=BCNow Substitute values
[tex]\longrightarrow[/tex][tex]\sf 3x-4=5x-10[/tex]
[tex]\longrightarrow[/tex][tex]\sf 5x-10=3x-4 [/tex]
[tex]\longrightarrow[/tex][tex]\sf 5x-3x=-4+10 [/tex]
[tex]\longrightarrow[/tex][tex]\sf 2x=6 [/tex]
[tex]\longrightarrow[/tex][tex]\sf x={\dfrac {6}{2}}[/tex]
[tex]\longrightarrow[/tex][tex]\sf x=3 [/tex]
[tex]\therefore[/tex][tex]\sf AB=3x-4=3\times 3-4=9-4 \\ \sf AB=5units [/tex]
Step-by-step explanation:
Side AB and Side BC are the same so we can make them equal to each other:
3x -4 = 5x -10
Subtract 3x from both sides.
-4 = 2x -10
Add 10 to both sides.
6 = 2x
Divide both sides by 2
3 = x
x = 3
Now substitute x in the expression
3x -4
3(3) -4
PEMDAS
9 - 4
Subtract
5
What is the slope of line ?
Answer:The slope is m= 1/2
(0,-2) & (2,-1)
Step-by-step explanation:
(0,-2) & (2,-1)
m=y²-y¹/x²-x¹
m=(-1)-(-2)/2-0
m=1/2
I will mark brainliest!!! Only have 5 mins!!!
Answer:
-1 + 6 = -7
Step-by-step explanation:
you go from -1 add 6 to the left and land on -7
because a - plus a - = a positive
you need to use a positive 6 to get a -7
Given g(x)=5x+4. Find the value of g(-4)
Answer:
-16
Step-by-step explanation
g(-4)=5(-4)+4
g(-4)= -20+4
g(-4)= -16
Answer:-16
Step-by-step explanation: Desmos
An electrician charges an hourly rate of $60, but also charges a fixed fee for making house calls regardless of time spend on the job. One day, the electrician earned a total of $350 for a 5 hour job. Write an equation for C,C, in terms of t,t, representing the total cost of the electrician's services if the electrician spends tt hours at the house working.
Answer:
$50
Step-by-step explanation:
Step one:
charges per hour= $60
We are told that the electrician earned $350
for a job that took 5hours
The linear equation to represent his earnings is
let the flat fee be x
C=60t+x------------1
so for C=$350
Required
the flat fee
350=60(5)+x
350=300+x
collect like terms
x=350-300
x=50
Flat fee is $50
Answer: C=60t+50
Step-by-step explanation:
$60 an hour,
5 hours before the fixed fee is only $300
but the amount he made for a 5 hour house call was $350,
making the fixed fee $50
Given and , what is ?
The value of z₂ - z₁ is -7 -8√(8i). And the second option is correct.
What is the equation?The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
Here, given that two expressions,
[tex]z_1=9+9\sqrt{3i}\\z_2=2+\sqrt{3i}[/tex]
To find the z₂ - z₁:
So,
[tex]z_2-z_1\\\\=2+\sqrt{3i}-(9+9\sqrt{3i})\\\\=2+\sqrt{3i}-9-9\sqrt{3i}\\\\=-7-8\sqrt{8i}[/tex]
The value of the equation, z₂ - z₁ = -7 -8√(8i)
Hence, the second option z₂ - z₁ = -7 -8√(8i) is correct.
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Answer:
B is the answer, just took the test
Step-by-step explanation:
If 1 foot is equal to 0.305 meters then how many feet are there in 8 meters
Answer:
2.438
Step-by-step explanation:
1=0.305m
x=8m
( do cross multiplication)
8=0.305x
x=2.438 or 2.44
For the kiddie teacup ride at a carnival a person needs to be over 36 inches and at most 60 inches tall. Write an inequality that describes all the heights that are eligible to ride
Given:
For the kiddie teacup ride at a carnival a person needs to be over 36 inches and at most 60 inches tall.
To find:
The inequality that describes all the heights that are eligible to ride.
Solution:
Let h represents the heights that are eligible to ride.
For the kiddie teacup ride at a carnival a person needs to be over 36 inches. It means, height should be greater than 36 inches.
[tex]h>36[/tex] ...(i)
For the kiddie teacup ride at a carnival a person needs to be at most 60 inches tall.
[tex]h\leq 60[/tex] ...(ii)
Using (i) and (ii), we get
[tex]36<h\leq 60[/tex]
Therefore, the required inequality is [tex]36<h\leq 60[/tex].
Help me! Please!
if you can't read it here you go
Make your own example of a relationship between two quantities that is NOT proportional. Describe the situation, and create a table to model it. Explain why one quantity is not proportional to the other.
Answer: this table shows a relationship between the number of Popsicles sold in the month of money earned by is a popsicle owner. Is the number of money earned in dollars proportional to the number of Popsicles sold? explain why or why not.
Step-by-step explanation:
what is the greatest common factor of 35+14
Answer:
7
Step-by-step explanation:
When you multiply two numbers together to get a product, those two numbers are considered factors of the product. There are certain operations in math that require comparing two or more numbers and identifying the largest factor they have in common. This is called the greatest common factor (GCF).
Answer:
The first step to find the gcf of 14 and 35 is to list the factors of each number. The factors of 14 are 1, 2, 7 and 14. The factors of 35 are 1, 5, 7 and 35. So, the Greatest Common Factor for these numbers is 7 because it divides all them without a remainder.
so 7 is the greatest common factor of 35+14
The factors of 14 are 1,2,7,14; The factors of 35 are 1,5,7,35.
"how may I apply the distributive property to this expression."
By factoring out 7, the expression 35+14 = 7(5 + 2) and so you have an alternative way of computing the sum.
49 = 7(7).
Solve by factoring
15x^2 - 25x =0
Answer:
Answer below!
Step-by-step explanation:
[tex]15x^{2} -25x=0\\5x(3x-5)=0\\ \frac{5x}{5}=\frac{0}{5} ;x=0[/tex]
3x - 5 = 0
Add 5 to both sides;
3x = 5
Divide both sides by 3;
[tex]x=\frac{5}{3}[/tex]
HELP PLZZZS!!!!!!! EASY 10 points *easy*
Answer:
reflection
Step-by-step explanation:
Answer:
I need 5 Brainliest before I can become Ace
Step-by-step explanation:
Suppose that G(X) = F(x+ 9). Which statement best compares the graph of
G(X) with the graph of F(x)?
O A. The graph of G(X) is the graph of F(x) shifted 9 units try the left.
B. The graph of G(x) is the graph of F(X) shifted 9 units down.
C. The graph of G(x) is the graph of F(x) shifted 9 units up.
D. The graph of G(X) is the graph of F(x) shifted 9 units to the right.
Answer:
Suppose that G(X) = F(x+ 9). Which statement best compares the graph of
G(X) with the graph of F(x)?
O A. The graph of G(X) is the graph of F(x) shifted 9 units try the left.
B. The graph of G(x) is the graph of F(X) shifted 9 units down.
C. The graph of G(x) is the graph of F(x) shifted 9 units up.
D. The graph of G(X) is the graph of F(x) shifted 9 units to the right.
Step-by-step explanation:
Suppose that G(X) = F(x+ 9). Which statement best compares the graph of
G(X) with the graph of F(x)?
O A. The graph of G(X) is the graph of F(x) shifted 9 units try the left.
B. The graph of G(x) is the graph of F(X) shifted 9 units down.
C. The graph of G(x) is the graph of F(x) shifted 9 units up.
D. The graph of G(X) is the graph of F(x) shifted 9 units to the right.
AnOtHeR MATH QUESTION (SMH). HELP PLEASE !!!
Answer:
For the function: [tex]g(x)=-x^2-3x+5[/tex], the average rate of change of function over the interval [tex]-7\leq x\leq 2[/tex] is 2
Step-by-step explanation:
We are given function: [tex]g(x)=-x^2-3x+5[/tex], we need to find average rate of change of function over the interval [tex]-7\leq x\leq 2[/tex]
The formula used is: [tex]Average \ rate \ of \ change=\frac{g(b)-g(a)}{b-a}[/tex]
We have b=2 and a= -7
Finding f(b) and f(a)
Finding g(b) by putting x=2
[tex]g(x)=-x^2-3x+5\\g(2)=-(2)^2-3(2)+5\\g(2)=-4-6+5\\g(2)=-10+5\\g(2)=-5[/tex]
Finding g(a) by putting x=-7
[tex]g(x)=-x^2-3x+5\\g(-7)=-(-7)^2-3(-7)+5\\g(-7)=-49+21+5\\g(-7)=-23[/tex]
Now, finding average rate of change when g(b)=-5 and g(a)=-23
[tex]Average \ rate \ of \ change=\frac{g(b)-g(a)}{b-a}\\Average \ rate \ of \ change=\frac{-5-(-23)}{2-(-7)}\\Average \ rate \ of \ change=\frac{-5+23}{2+7}\\Average \ rate \ of \ change=\frac{18}{9}\\Average \ rate \ of \ change=2[/tex]
So, Average rate of change = 2
Therefore for the function: [tex]g(x)=-x^2-3x+5[/tex], the average rate of change of function over the interval [tex]-7\leq x\leq 2[/tex] is 2
One number is 9 less than a second number. Their sum is -27. What is the first number?
Answer:
x= first number y= second
x=2y+9 and x+y=129, these are the equations...solving gives x=89,y=40
Step-by-step explanation:
Answer:
-18 and -9 is the answer
can you help me please
Answer:
use www. desmos. com lol
Step-by-step explanation:
I need help please ;^;
Answer:
with what
Step-by-step explanation:
What is the value of g(2)?
Answer:
A.1
Step-by-step explanation:
looking at the function, you can see that you should use the second equation, x^3-9x^2+27x-25, x>=2
step 1: insert 2 into the equation. (2)^3-9(2)^2+27(2)-25
step 2: simplify equation 8-36+54-25=1
The value of function g(2) is 1. Therefore, option A is the correct answer.
The given function is g(x)=[tex]\left \{ {{(\frac{1}{2} )^{x-3} \hspace{6em} x < 2} \atop {{x^{3}-9x^{2} +27x-25} } \hspace{6em}x \geq2}} \right.[/tex].
We need to find the value of g(2).
What is the function?In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.
Now, g(2)= [tex](\frac{1}{2} )^{x-3} =2[/tex]
g(2)=2³-9(2)²+27×2-25
=8-36+54-25=1
The value of function g(2) is 1. Therefore, option A is the correct answer.
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Amy can buy an 5-pound bag of dog food for $7.40 or
a 4-pound bag of dog food for $5.48. Which is the
better buy?
Answer:
4-pound bag
Step-by-step explanation:
7.40/5 = 1.48
5.48/4 = 1.37
$1.37 is cheaper
Two sides of a triangle measure 10 inches and 10.9 inches. The included angle between these sides is 65°. What is the approximate measure of the third side of the triangle?
Answer:
9.9inches
Step-by-step explanation:
From the attachment, the opposite side is debited as "x" while the Hypotenuse is 10.9inches, we can find the third side by using trigonometry
From trigonometry, Sin(x)= opposite/Hypotenuse
Sin(65)=X/10.9
X= Sin(65) ×10.9
X=0.9063×10.9
=9.8688
Hence the third side of the triangle is approximately 9.9inches
CHECK THE ATTACHMENT FOR THE TRIANGLE
Solve for x when h (x)=62 given the function h(x)=8x-10
Answer:
x=9
Step-by-step explanation:
62=8x-10
8x=72
x=9
What is the greatest common factor of 3x^4,15x^3,and 21x^2
Step-by-step explanation:
3x^2
is the greatest common factor
Evaluate each expression express the result in scientific notation PLSSS I NEED THIS QUICK AND INCLUDE THE EXPLANATION
Answer:
3.1 × 10^5
Step-by-step explanation:
8.37 ÷ 2.7= 3.1 when you divide you subtract the exponents
I NEED THIS ANSWER ASAP PLEASE
Answer:
y = (-9/8)x + 7
Step-by-step explanation:
the line equation for slope intercert form looks like this
y = mx + b
m is the slope
b is the y intercept
The line intercepts the y at b= 7 (as noted in point (0, 7)
To find slope, use the 2 points given and the slope formula
m = (y2 - y1) / (x2-x1)
point (x1, y1) is (0, 7) and
point (x2, y2) is (8, -2)
plug in the correct spots for m = (y2 - y1) / (x2-x1)
m = (-2 - 7) / (8 - 0) = -9 / 8
substitute y = mx +b = (-9/8)x + 7
I hope this helps :-)
12x+12=3x+84 so what does x=
Answer:
x = 8
Step-by-step explanation:
12x +12 = 3x +84
12x +12 -12 -3x = 3x -3x +84 -12
12x -3x = 84 -12
9x = 72
9x/9 = 72/9
x = 8
Answer: Answer: x=8
Step-by-step explanation:
12x+12=3x+84
Subtract 12 on both sides:
12x+12-12=3x+84-12
12x=3x+72
Subtract 3x on both sides:
12x-3x=3x-3x+72
9x=72
Divide 9 on both sides:
9x/9=72/9
x=8
AB=BC what is the property