Step-by-step explanation:
(a)(i) The average rate of change is:
(895 − 455) / (250 − 150)
4.4
(a)(ii) Since the profit is linear, the slope of the line is equal to the average rate of change. Using point-slope form:
y − 455 = 4.4 (x − 150)
Simplifying to slope-intercept form:
y − 455 = 4.4x − 660
y = 4.4x − 205
(a)(iii) The break-even point is when the profit is 0.
0 = 4.4x − 205
4.4x = 205
x = 46.6
(b)(i) The "demand function" is the selling pice of the compasses:
p = 40 − 4q²
where p is the price in dollars and q is the quantity in millions of units.
Profit is revenue minus cost.
P = R − C
P = pq − 15q
P = (p − 15) q
P = (25 − 4q²) q
P = 25q − 4q³
where P is the profit in millions of dollars and q is the quantity in millions of units.
(b)(ii) Find values of q when P = 18.
18 = 25q − 4q³
4q³ − 25q + 18 = 0
We know that q=2 is a root of this equation. Using grouping:
4q³ − 8q² + 8q² − 25q + 18 = 0
4q² (q − 2) + (q − 2) (8q − 9) = 0
(q − 2) (4q² + 8q − 9) = 0
4q² + 8q − 9 = 0
Solve with quadratic formula.
x = [ -b ± √(b² − 4ac) ] / 2a
q = [ -8 ± √(8² − 4(4)(-9)) ] / 2(4)
q = (-8 ± √208) / 8
q = (-8 ± 4√13) / 8
q = (-2 ± √13) / 2
Since q is positive, q = (-2 + √13) / 2, or approximately 0.803.
Which set of ordered pairs does not represent a function?
Group of answer choices
{(6, 0), (-9, 5), (1, -5), (0, 0)}
{(4, 6), (6, 8), (3, 2), (-6, 8)}
{(-9, -7), (-8, -7), (8, 2), (9, -5)}
{(-8, 6), (-8, 5), (-9, 4), (-5, 3)}
Answer:
the last one
Step-by-step explanation:
No points on a function can have the same x value, can you give me brainliest
what is a point-slope equation of the line with slope -10 that goes through the point (1,4)
Answer:
The answer is
[tex]y - 4 = - 10(x - 1)[/tex]
Step-by-step explanation:
To find an equation of a line in point slope form when given the slope and a point we use the formula
[tex]y - y_1 = m(x - x_1)[/tex]
where
m is the slope
( x1 , y1) is the point
So we have the final answer as
[tex]y - 4 = - 10(x - 1)[/tex]
Hope this helps you
A parachutists speed during a free fall reaches 153 miles per hour. What is this speed in feet per second? at this speed, how many feet will the parachutist fall during 15 seconds of free fall? in your computations, use the fact that 1 mile is equal to 5280 feet. do not round your answer
153 miles x 5280 feet per mile = 807,840 feet per hour.
1 hour = 3600 seconds.
The speed is 807,840 feet / 3600 = 224.4 feet per second.
Distance in 15 seconds = 224.4 x 15 = 3,366 feet.
The height of the rocket after t seconds is given by the equation h(t) = -16t² + 42t
What is an equation?An equation is an expression that shows the relationship between two or more variables and number.
1 mile = 5280 feet, 1 hour = 3600 seconds
153 miles per hour = (153 * 5280) / (3600) ft/s = 224.4 ft/s
After 15 seconds, height = 224.4 ft/s * 15 s = 3366 ft
The speed of the parachute is 224.4 ft/s, while after 15 seconds the distance fell was 3366 ft.
Find out more on equation at: https://brainly.com/question/2972832
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What sets of numbers are included in the real numbers
Answer:
−3, −2, −1, 0, 1, 2, 3
Pass necessary journal entries in the books of Narender for the month of March 2006
Please explain this question as I can't 'Pass necessary journal entries in the books of Narender for the month of March 2006'
On a coordinate plane, the center of dilation is at (0, 0). Triangle A B C has points (negative 4, 3), (4, 4), and (1, 1). A has the coordinates (–4, 3) and B has the coordinates (4, 4). If DO,1/2(x, y) is a dilation of △ABC, what is true about the image △A'B'C'? Check all that apply.
AB is parallel to A'B'.
DO,1/2(x, y) = (one-half x, one-half y)
The distance from A' to the origin is half the distance from A to the origin.
The vertices of the image are farther from the origin than those of the pre-image.
A'B' is greater than AB.
Answer:
A, B, C
Step-by-step explanation:
It's correct, I took the activity before the quiz and got it right.
Happy to help :3
PLEASE HELP!!! The sum of 2 consecutive itegers is 294. Write an equation for the integers.
Answer:
147
Step-by-step explanation:
Divide 294 by 2
a group a friends share 3 1/2 slices of cake. each friend get half a slice of cake. how many friends shared the slices of cake.
Answer:
7
Step-by-step explanation:
3×2
6+1
7
You multiple it by 2 since it is 1/2 and not a whole piece
Answer:
7
Step-by-step explanation:
3 1/2 divided by 2 is 7
Jake, Utah, renting with a friend
Hourly rate: $8.75/hour
Hours worked: 40/40
Commission rate: 2.75%
Sales amount: $7500
Expenses: everything.
Y
CO20
Answer:
What is the question?
Step-by-step explanation:
I will change my answer if you put a clear question up...
13-4x=1-x Please help 20 POINTS
Answer:
x will equal to 4
Which number is closest to V6 ?
Answer:
2.44949
Step-by-step explanation:
hope this helps
Answer:
2.9
Step-by-step explanation:
Nina earned $35 babysitting. She went to the store and bought 2 CD's. The first CD she chose was priced at $13. The second CD was originally priced at $20.00 and was on sale for $15. After buying the CD's Nina then went to the grocery store with her mother. Her mother spent $6 on Nina's favorite brand of juice. How much money does Nina have left?
IM GONNA FAIL OMG HELP ME ILL GOVE YOU POINTS!!
Answer:
Step-by-step explanation:
1. yes
2. no
3. -10 and 5
4. -6
5. 3x+3
6. 3x+4
7. 14xy^2-3y+7
8. -3y-7x
9. 10x -5
Answer:
1) yes they are if y is alone its just 1y so yes their like terms.
2)no 5xy^2 is different bc the exponent
3)5x-5
4)-6
5)3x+3
6)4+4x
7)14xy^2-3y+7
8)3y-7x
9)10x-5
Step-by-step explanation:
Let xy=6 and x2 + y2 = 23 what is the value of (x+y)??
Answer:
I'll assume that x2 = x^2 and y2 = y^2 and the answer is sqrt{35}.
Step-by-step explanation:
This problem invovles completing the square, so if I square (x+y), I get
x^2+2xy+y^2, and since xy = 6, 2xy = 12, 23+12 = 35, and your answer is sqrt{35}.
The late fee at the library is based on the number of days a book is late. Carter paid $1.08 for a book that was 9 days late. If his sister Sydney had a fee of $1.92 for a late book, how many days late was the book?
Answer:
16 days
Step-by-step explanation:
1.08 $:9 days
1.92 $: x
1.08 x: 17.28
x = 16
0.5f - 2.3g
F= 12, g = 2
Hi there & welcome to brainly !
Answer:
[tex] \huge{ \bold{ \boxed{ \tt{1.4}}}}[/tex]
Step-by-step explanation:
[tex] \text{Given : f \: = \: 12 \: g = 2}[/tex]
[tex] \text{To \: find : Value \: of \: given \: expression}[/tex]
[tex] \text{Let's \: start}[/tex] :
[tex] \text{0.5f \: - 2.3g}[/tex]
Here, The values of f and g are 12 and 2 respectively. Plug the given values :
↦ [tex] \text{0.5 ∗ \: 12 - 2.3 ∗ 2}[/tex]
Multiply : 0.5 and 12
↦ [tex] \text{6 - 2.3 \: ∗ \: 2}[/tex]
Multiply : 2.3 and 2
↦ [tex] \text{6 - 4.6}[/tex]
Subtract 4.6 from 6
↦ [tex] \text{ \boxed{1.4}}[/tex]
Hope I helped!
Best regards! :D
~[tex] \text{TheAnimeGirl}[/tex]
The solution of the given expression will be; 1.4
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
We are given that 0.5f - 2.3g where f = 12 and g = 2
Now substitute 12 in for f and 2 in for g and solve;
0.5(12) -2.3(2)
6 - 4.6
=1.4
To know more about an expression follow;
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The complete question is;
Evaluate the expression: 0.5f - 2.3g where f = 12 and g = 2
Rewrite the following equation in slope-intercept form.
17x + 18y = -6
Answer:
y= -17/18x-1/3
Step-by-step explanation:
The slope-intercept form of the equation is y = (-17/18)x -1/3.
What is linear equation?Equations whose variables have a power of one are called linear equations. One example with one variable is where ax+b = 0, where a and b are real values and x is the variable.
Given:
A linear equation 17x + 18y = -6.
To find the slope-intercept form:
Simplifying,
17x + 18y = -6
18y = -6 -17x
y = -17/18x -1/3
Therefore, y = (-17/18)x -1/3 is the slope-intercept form.
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katie has $120 on her cafeteria cardka. everytime she orders a meal , $4.50 is deducted from the
Answer:
120-4.50 = 115.10
Step-by-step explanation:
She will have $115.10 left if she buys one mean
What is the equation for the line?
Answer:it may be the first one but I can’t see the lines on the graph clearly.
Step-by-step explanation:
9+10
A.21 B.19 C.1 D.90
Answer: 19 XD
Step-by-step explanation: u add
Simplify the following expression............
PLEASE HELPPP! it’s due todayyyyy
The answer is 3k^2 m^6/ 4
You would put the first half on top of the four.
what is the value of 2.5x+17+21x-25=180
Answer:
x=8
Step-by-step explanation:
2.5x+17+21x−25=180
Simplify 2.5x+17+21x−25
23.5x−8=180
Move all terms not containing x to the right side of the equation.
23.5x=188
Divide each term by 23.5 and simplify.
x=8
Hope this helps! :) Plz mark as brainliest
What is 2/5 + 1/4+7/10
Answer:
1 7/20
Step-by-step explanation:
Answer:
27/20 or 1 7/20
Step-by-step explanation:
1) make the denominators the same
2/5 multiplied by 4 on top and bottom =8/201/4 multiply by 5 = 5/207/10 multiply by 2 = 14/202) add the numerators
8+5+14=273) the denominator stays the same
27/204) simplify it to 1 7/20
3) You paid $5 for a bucket of popcorn and $1.25 per candy bar. How many candy bars
can you buy to spend no more than $10?
4 dollars flat $4.00
Step-by-step explanation:
1.25x4= 5$ 5$+5$=10$
Answer:
4 candy bars
Step-by-step explanation:
you have to subtract $5 from $10, which is $5, then take the .25 from the candy bar. Add $4 candy bars to $5, $9, and then add in the .25. .25 times 4 is $1, and $9+$1 is $10
Choose the simplified form of the expression,
5x + 6x?- 2x + x
I need it fast please!!!
Answer:
10x
Step-by-step explanation:
If the question mark is an accident, the answer is 10x.
5x+6x-2x+x
11x-2x+x
9x+x
10x
Evaluate the expression of X = 3
Answer:
x=3
Step-by-step explanation:
x=3, there is no formula or anything...
What is the capital of peru
Answer:
☆<《HOPE IT WILL HELP YOU 》>☆
Step-by-step explanation:
capital of Peru is Lima
According to the U.S. Geological Survey, the Mississippi River is 200 mi
shorter than the Missouri River. Together, they cover a total of 4880 mi.
How long is the Missouri River? *
Which best describes the solution set of the compound inequality below?
Answer:
Option B. 4<=x<=6 is the solution set.
is 4:3 and 3:4 equivalent
Answer: No
Step-by-step explanation: