Answer:
The widgets should be sold for $26.7 for the company to make the maximum profit.
Step-by-step explanation:
Given the quadratic equation
[tex]f\left(x\right)=-15x^2+801x-59000[/tex]
As the leading coefficient is (-3), so the graph would be a downward Parabola.
Thus, the maximum profit would be at the vertex.
The selling price 'x' can be determined by determining the x-coordinate of the vertex.
In order to calculate the x-coordinate of the vertex, we can find this by
x = -b/2a
where a = -15 and b = 801
x = -801 / 2(-15)
x = -801/-30
x = 801/30
x = 267/10
x = 26.7
Therefore, the widgets should be sold for $26.7 for the company to make the maximum profit.
Solve the system of linear equations by substitution x-y=2 x+2y=5
Answer:
x = 3
y = 1
Step-by-step explanation:
x - y = 2 ---------------(I)
x + 2y= 5 ----------------(II)
x - y = 2
x = 2 + y _________(III)
Substitute x = 2 + y in equation (II)
2 + y + 2y = 5 {combine like terms}
2 + 3y = 5
3y = 5 -2
3y = 3
y = 3/3
y = 1
Substitute y = 1 in equation (III)
x = 2 + 1
x = 3
3. As a fundraiser the school has a pie eating contest. Matt eats 2.75 pies in 300 seconds. b. Use place value, multiplication with powers of 10, or equivalent fractions to explain what is happening mathematically to the decimal points in the divisor and dividend before dividing.
Answer:
Using equivalent fractions, the time Matt takes to eat 1 pie is 1200/11 which is the same as [tex]109\frac{1}{11}[/tex] seconds
Step-by-step explanation:
The number of pies Matt eats = 2.75 pies
The time duration Matt eats 2.75 pies = 300 seconds
Mathematically, the time duration for Matt to eat one pie is given as follows;
The time to eat 2.75 pies = 300 seconds
Dividing both sides of the equation by 2.75 gives;
The time to eat 2.75/2.75 pie = 300/2.75 seconds
2.75/2.75 = 1, therefore, we have;
The time to eat 1 pie = 300/2.75 seconds
The equivalent fraction of 3000/2.75 = 1200/11
Therefore;
The time Matt takes to eat 1 pie = 1200/11 seconds
Terrance and his family went out for dinner for his birthday. The cost of the meal before sales tax was $43. The family decides to tip 25% for the excellent service they received.
How much did Terrance's family leave as a tip for his birthday meal?
9514 1404 393
Answer:
$10.75
Step-by-step explanation:
The amount they left as a tip is ...
25% × $43 = 0.25 × $43 = $10.75 . . . tip amount
In Algebra you learned that Difference of Perfect Squares is x^2 - 25 = (x+5)(x-5)
Is there a way to factor the sum of perfect squares? ex: x^2 + 25 = (?)(?)
Answer:
(x+5i)(x-5i)
Step-by-step explanation:
We use imaginary numbers to solve that. since i = sqare root of -1 so i * i = -1.
A kid’s bicycle costs $110.00 at a department store, who is offering a 15% off coupon. Determine the final price of the bike after both the discount and 6.25% sales tax.
Answer:
100.375Step-by-step explanation:
so 110
110/100=1.1
*15
16.5
16.5 dollar coupon
ok then sales tax
1.1*6.25
6.875
sales tax is 6.875
110-16.5
93.5
93.5+sales tax 6.875
100.375
final price 100.375
hope this helps!!
A square has a perimeter of 36 ft. What is the length of each side?
George bought 2 identical couches and 3 identical chairs. A couch cost twice as much as a chair. He spent $270 more on th ecouches than on the chairs. How much did he spend altogether
If I buy 5 plants from the garden centre at £3.00 a plant how much do the plants cost? If I have a £20 note how much change will I get?
Answer:
They will cost you £5.00 total
Step-by-step explanation:
If the plants each cost £3.00
You multiply the amount of plants, in this case is 5 by the price :-
5×3.00
= £15.00
You then subtract the total from the cash
15.00 - 20.00
= £5.00
ON THE WAY TO THEIR NEW HOME, RANDY'S FAMILY DROVE 425 KM IN 5 HRS, WHAT WAS THEIR AVERAGE SPEED PER HR?? PLEASE HELP! ( THIS IS URGENT) PLEASE HELP!
Answer:
85km/h (km per hour)
Step-by-step explanation:
425/5
85km/h
The point (2,1) is rotated 90 degrees clockwise using center (0,0). What are the coodinates of the image?
Answer:
(1,-2)
Step-by-step explanation:
Rotation of Figures
When we rotate a figure 90 degrees clockwise across the origin, each point of the given figure has to be changed from (x, y) to (y, -x).
We are given the point (2,1) and it is rotated 90 degrees clockwise across the origin, thus the image has coordinates (1,-2).
The figure below shows the point and its image.
You are draining your fish
aquarium. After 2 min. there are
6 gallons of water in the
aquarium. After 10 min the
aquarium is empty. Type an
equations that represents the
volume y of water in the
aquarium after x minutes.
uarium
Answer:
y=-3/4x+15/2
Step-by-step explanation:
GameStop paid $300 for a PS5. to make profit they sell it for 65% more than what they paid. how much will GameStop sell a PS5 for
Answer:
$495
Step-by-step explanation:
65% of $300= 195
300+195=$495
describe the transformation g(x) = 2(х-4)^2 +2
Answer:
Step-by-step explanation:
To find the transformation, compare the function to the parent function and check to see if there is a horizontal or vertical shift, reflection about the x-axis or y-axis, and if there is a vertical stretch.
horizontal shift- right four units
vertical shift- up 2 units
Reflection about the x-axis: None
Reflection about the y-axis: None
Vertical Compression or Stretch: Stretched
I need help with this please
Answer:
b
Step-by-step explanation:
there's a property for Alternate Interior Angles
Answer:
Choice B
Step-by-step explanation:
The reason why < 3 is equal to < 6 is because they are alternate interior angles.
The first choice are supplementary angles they add up to 180 so they can't be equal.
The third one is false because we don't actually know the measurements of the angles but they both need to be 45° to add up to 90 since they are equal to each other.
The last one is also incorrect because they are vertical angles just like the third choice and they aren't on a line so they can't add up to 180.
What is (1/4x−7)−(3/4x−5) ? Explain how you found your answer.
Answer:
2
Step-by-step explanation:
Pls help i need to fnsh
Answer:
(1,0)
Step-by-step explanation:
Step-by-step explanation:
Are you here??..........
please help me i’ll give brainliest
Answer:
A
Step-by-step explanation:
I want snuggles 8+-91=?
someone plz give me snuggles.
Answer:
its -83
Step-by-step explanation:
Answer:
-83
also ok ;)))
Pretest: Unit 3
Question 16 of 20
For R(x) = 4x + 2 and g(x) = x2 - 6, find (f+g)(x).
A. 4x3 - 4
B. x2 + 4x - 4
O c. 4x2 - 16
O D. x2 + 4x+8
BMI
Answer:
(f + g)(x) = x² + 4x - 4 ⇒ B
Step-by-step explanation:
Let us solve the question
∵ f(x) = 4x + 4
∵ g(x) = x² - 6
→ We need to find (f + g)(x) which means f(x) + g(x)
∴ (f + g)(x) = f(x) + g(x)
∵ f(x) + g(x) = (4x + 2) + (x² - 6)
∴ f(x) + g(x) = 4x + 2 + x² - 6
→ Add the like terms
∵ f(x) + g(x) = 4x + x² + (2 - 6)
∴ f(x) + g(x) = 4x + x² + (-4)
→ Remember (+)(-) = (-)
∴ f(x) + g(x) = 4x + x² - 4
→ Arrange the terms from greatest power of x
∴ f(x) + g(x) = x² + 4x - 4
∴ (f + g)(x) = x² + 4x - 4
Louis is constructing the perpendicular bisector
of GH . He has already constructed an arc as
shown.
What should Louis do for his next step?
Solution :
It is given that Louis is constructing a perpendicular bisector of a line GH.
Let the line GH be x units of length.
Louis is constructing a perpendicular bisector. So he should follow the following steps :
1. Louis should take the help of a compass and place the needle of the compass on one end of the line and take a measurement that is equal to the more than half the length of the line GH.
2. Then keeping the compass needle at one end of he line, Louis have to draw an arc above and below the line GH.
3. Now with the same measurement in the compass, place the compass needle on the other end and similarly cut two arcs above and below intersecting the previous arcs.
4. Now join the intersecting point with a straight line.
5. This is the perpendicular bisector of the given line GH.
A team of 5 runners competed in a relay race. Each runner had to run 730 yards. How long was the race?
Answer:
3650 yardsStep-by-step explanation:
Number of runners = 5Each runner's completed distance = 730 yardsTotal distance:
5*730 = 3650 yards一30 + (-2)=
What is the answer
Answer:
一30 + (-2)=
What is the answer
Step-by-step explanation:
一30 + (-2)= -32
helppppppppp i will give points
WWhat is the value of p2+p+10 when p=4
Answer:
value = 30(thirty).....
What is the value of the expression 2 x 7 + 9 − 3 ÷ 3?
a 24
b 22
c 32
d 36
Answer:
22?
Step-by-step explanation:
just follow PEMDAS. first multiply then divide then add then subtract
Quadratic Equation
The sum of the ages of two friends is 13 years and the product
of their ages is 42. Find their ages.
Step-by-step explanation:
The sum of ages of two friends is 13 years.
The product of their ages is 42.
Let the age of 1st friend and 2nd friend is x, y respectively.
1 st condition= The sum of ages of two friends is 13 yrs.
i.e x+y = 13........ (I)
2nd condition= The product of their ages is 42.
i.e X*y = 42........(ii)
From equation (I)
X+y = 13
or, X = 13-y........ (iii)
Putting the equation (iii) in equation (ii).
X*y= 42
(13-y) * y = 42
13y - y^2 = 42
[tex] {y}^{2} - 13y + 42 = 0[/tex]
[tex] {y}^{2} - (7 + 6)y + 42= 0[/tex]
[tex] {y}^{2} - 7y - 6y + 42 = 0[/tex]
[tex]y(y - 7) - 6(y - 7) = 0[/tex]
[tex](y - 6) (y - 7) = 0[/tex]
Either; y-6 = 0
y = 6
Or;
y-7=0
y = 7
Keeping the value of y as "7" in equation (ii)
x*y = 42
7x = 42
X = 42/7
Therefore, the value of X is 6.
Therefore, either 1st friend is 6 years and 2nd is 7 years.
Hope it helps...
The polynomial x3 + 64 is an example of a
Answer:
cubic polynomial.
Step-by-step explanation:
Calculations that allow a researcher to draw conclusions about how meaningful a result is are collectively called _______________statistics
Answer: Inferential
Step-by-step explanation:
Inferential statistics, has to do with taking data from the samples that the researcher has and then making generalizations about the population through the sample gotten.
Through Inferential statistics, one can draw conclusion about a particular phenomenon. Therefore, the answer to the above question is Inferential statistics
.
Kiera has $60 to spend online and plans to buy 8 pop songs and some e-books. The songs cost $1.29 each and
the books cost $9.95 each. Which inequality can be used to find the number of e-books, and what is the
greatest number of e-books, x, she can buy?
Answer:
she can buy 4 e books.
I don't know about the equation but there is the work below if that helps.
Step-by-step explanation:
8x 1.29= 10.32
60-10.32=49.68
49.68/ 9.95= 4.99
she can buy 4 books.
Answer:
um i have this question so i dont know
Step-by-step explanation:
Angelica has 15 comic books, and each
month she buys 3 more comic books.
Write an equation representing the
number of comic books c she has at the
end of any month m?
Answer:
15 + 3m = c i think is suitable