Answer:
The equilibrium quantity is 26.4
Step-by-step explanation:
Given
[tex]Q_d = 48 - 9P[/tex]
[tex]Q_s = 12 + 6P[/tex]
Required
Determine the equilibrium quantity
First, we need to determine the equilibrium by equating Qd to Qs
i.e.
[tex]Q_d = Q_s[/tex]
This gives:
[tex]48 -9P = 12 + 6P[/tex]
Collect Like Terms
[tex]-9P - 6P = 12 - 48[/tex]
[tex]-15P = -36[/tex]
Solve for P
[tex]P = \frac{-36}{-15}[/tex]
[tex]P =2.4[/tex]
This is the equilibrium price.
Substitute 2.4 for P in any of the quantity functions to give the equilibrium quantity:
[tex]Q_d = 48 - 9P[/tex]
[tex]Q_d = 48 - 9 * 2.4[/tex]
[tex]Q_d = 26.4[/tex]
Hence, the equilibrium quantity is 26.4
What person, Matt or Jane, has a constant rate of pay, and what is it?
Answer: Jane
Step-by-step explanation: Her pay is going up by the same amount, 12, each time.
Answer:
Matt's pay is not linear
Jane's pay is linear, and it is $12/hour
Step-by-step explanation:
Matt's Earnings:
As the time goes from 1 hour to 2 hours, the difference in hours is 1, the difference in pay is $8. From 2 hours to 3 hours, the difference in hours is again 1, but the difference in pay is $11. Since equal changes in x do not produce equal changes in y, Matt's earnings are not linear.
Jane's Earning:
As the time goes from 1 hour to 2 hours, the difference in hours is 1, the difference in pay is $12. From 2 hours to 3 hours, the difference in hours is again 1, and the difference in pay is again $12. Since equal changes in x produce equal changes in y, Jane's earnings are linear.
Jane's rate of pay is $12/hour
(U will get brainliest if u help! Pls write at least 2 sentences to support your answer :D )
What is 4 x 3/8 ?
4 × 3
8
= 4 × 3
8
= 4 × 3
8
= 2 × 3
4
= 1 × 3
2
= 1 × 3
2
= 3
2
= 1.5
What's the addition property of 23 + 4 + 109 = 4 + 23 + 109
Answer:
I am confused on this question too
Step-by-step explanation:
What should she do next to find 42 to the nearest hundredth?
A. She should find the squares of numbers between 6.5 and 6.6,
B. She should find the average of 6.4 and 6.5.
C. She should estimate that 42 is 6.50
D. She should find the squares of numbers between 6.4 and 6.5.
Answer:
D
Step-by-step explanation:
Did the quiz
What are the relative maximums of the function: f (x) = x²-3x + 5
Answer:
(3/2,11/4)
Step-by-step explanation
-b/2a to find the axis of symmetry
3/2= axis of symmetry
Then plug that in to find the vertex/maximum or minimum
3/2^2-3(3/2)+5
9/4-9/2+5
You can only add fractions with like denominators multiply 9/2(2/2) and 5(4/4)
So, 9/4-18/4+20/4
9/4-18/4= -9/4+20/4= 11/4
So the maximum is
(3/2, 11/4)
The line r represents f(x)=x-4/3.therefore,the line that represents f^-1 is ___ and f^-1(x)=____ x+____.
Answer:
f^-1 is P and f^-1(x) = 3x+4
Step-by-step explanation:
I did the work in my notebook but pretty much to find the inverse of [tex]\frac{x-4}{3\\}[/tex] you gotta do an equation and yeh its pretty simple.
The solution is , f^-1 is P and f^-1(x) = 3x+4.
What is an expression?An expression is any mathematical statement which consists of numbers, variables and an arithmetic operation between them. In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
here, we have,
from the given figure, we get,
The line r represents f(x)=x-4/3.
so, we get,
f^-1 is P
let, y = f(x)
and, f^-1(y)=x
i.e. y = x-4/3.
3y=x-4
x=3y+4
so, f^-1(y) = 3y+4.
and f^-1(x) = 3x+4.
To learn more on Expression click:
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#SPJ5
2/12= blank 48 help me please
Answer:
8/48
Step-by-step explanation:
the bottom they multiplied by 4 to get 48 so you do the same to the top so you get 8
Subtract 5x^2 – 2x – 5 from – 2x^2
- 5x - 7
Answer:
[tex]-7x^{2} -3x-2[/tex]
Step-by-step explanation:
[tex](-2x^2-5x-7) - (5x^2-2x-5)\\\\-2x^2 - 5x^2 = -7 x^2\\-5x - -2x = -3x\\-7 - -5 = -2 \\Result: -7x^2-3x-2[/tex]
Answer:
-7x² -3x - 2
Step-by-step explanation:
(-2x²-5x -7) - (5x² - 2x - 5)
removing parentheses
-2x² -5x - 7 -5x² + 2x + 5
collect like terms
-2x² - 5x² -5x + 2x -7 + 5
= -7x² -3x - 2
Please help I will brainliest!! Really urgent!!
For terms and like terms just put
LT:
T:
Answer:
Terms: 8, (-x²), x, (-4x)
Like terms: x and (-4x)
Step-by-step explanation:
A term is a single number (positive or negative), a single variable (a letter), or several variables multiplied but not added or subtracted.
Like terms are terms that have the same variables and power like x.
A water tank is in the shape of an inverted cone with height twice its radius. Water is being pumped into the tank at a rate of 2m3/min. Find the rate at which the water level is rising when the water is 3m deep.
Answer:
dh/dt = 8/9π
Step-by-step explanation:
Given that
Volume of A cone = 1/3πr²h.
Assuming v is the volume of the tank, then dv/dt = 2 m³/min
Assuming h is the height of the water we're looking for dh/dt
To start, we need to find a relationship between dh/dt and dv/dt
We then write v as a function of h, instead of having it as h & r, and then by using similar triangles, we notice that
r/h = 2/4, essentially, r = h/2.
Now, we substitute for this r, in the formula for volume
V = 1/3πr²h
V = 1/3 * π * (h/2)² * h
V = 1/3 * π * h³/4
If we differentiate v, wrt t, we have
dv/dt = π/12 * 3h² * dh/dt
dv/dt = π/4 * h² * dh/dt
Remember that h = 3, so, substitute for h
2 = π/4 * 9 * dh/dt
8/π = 9 * dh/dt
dh/dt = 8/9π
pls answer this it’s due
Answer:
The second to last choice
Step-by-step explanation:
Laura is saving money to buy a bike. She has $52 and is going to save an additional $8 each week. The bike costs $164. In how many
weeks will she have enough money to buy the bike?
Answer:
I would say 14 weeks.
Step-by-step explanation:
I solved it by subtracting what she already has from the price of the bike. $164-52= 112. Then I divided that by 8 cause she saving $8 a week and you get 14. So in 14 weeks she'll have enough money to buy the bike.
se lanza una piedra a un estanque de agua tranquila el cual crea ondas concentricas que aumentan el radio al pasar el tiempo. cuando la onda exterior alcanza 3 metros de radio, aumenta a una rapidez de 5 cm/s¿a que rapidezaumenta dicha areadel circulo por dicha onda?
This is what she/he is saying:
A stone is thrown into a pool of calm water which creates concentric waves that increase the radius over time. When the external wave reaches a radius of 3 meters, it increases at a speed of 5 cm / s, at what speed does this area of the circle increase by said wave?
Which of the following is a benefit to using a random sample for an observational study?
Answer:
Step-by-step explanation:
Even though no answer choices are given, the main benefit of this is that by choosing a randomly from a population it allows every single individual to have the same chance of getting chosen and observed. This randomness allows for that sample group to much more accurately represent the entire population that is being observed without having to conduct additional research. Therefore, becoming extremely useful in such studies.
A sample is a group that is taken out of the population to be tested.
A random sampling occurs when subjects are being selected for a study
The benefit of using random sampling is that each subject in the population is equally likely to be selected and the resulting sample is likely representative of the population.
Random sampling allows for unbiased estimates to be created, but at the cost of efficiency within the research process
Some advantages of random sampling shown below,
It has less risk of carrying an error.There is an equal chance of selection.It requires less knowledge to complete the research.Learn more:
https://brainly.com/question/14912731
not sure need help
Answer:
192
Step-by-step explanation:
There are 2 ways of solving for <4
The first is just to add the 2 angles not connected to <4
<4 = 51 + 51 = 102
The second is to find <2 and take that away from 180
<2 + 51 + 51 = 180
<2 = 180 - 102
<2 = 78
<4 + <2 = 180 (They are supplementary
<4 = 180 - 78
<4 = 102
HELP ME PLEASE!
Find the equation of the line.
Use exact numbers.
What is the result of 5 divided by one-fifth? 5 fraction bars. Each bar is labeled 1 with 5 boxes labeled one-fifth underneath. StartFraction 1 Over 25 EndFraction One-fifth 1 25
Answer:
25
Step-by-step explanation:
Answer:
it is 25
Step-by-step explanation:
three children each eat 2/3 of a cake how much cake is eaten altogether?
Answer:
childre=3 cake eaten 2/3 so total eaten cake by children will be 2/3*3=2
[tex]2/3*3=3[/tex]
Step-by-step explanation:
Please help I will brainliest!! Really urgent!!
and tell you me how you go it, not just the answer please!❤️
Answer:
1/8x - 11
Step-by-step explanation:
-3/8x - 2 + 1/2x - 9
-3/8x + 1/2x - 2 - 9
1/2x = 4/8x
-3/8x + 4/8x - 11
1/8x - 11
PLS MARK BRAINLIEST
Answer:
[tex]\frac{1}{8}x-11[/tex]
Step-by-step explanation:
[tex]-\frac{3}{8}x-2+\frac{1}{2}x-9[/tex]
[tex]-\frac{3}{8}x-2+\frac{4}{8}x-9[/tex] (find common denominator. [tex]\frac{1}{2} * \frac{4}{4} = \frac{4}{8}[/tex] )
[tex]\frac{1}{8}x-11[/tex] (add like terms. [tex]-\frac{3}{8}x + \frac{4}{8}x = \frac{1}{8}x[/tex] and -2 + (-9) = -11 )
does anyone know how to solve this inequality?
❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤
[tex] \frac{x - 1}{2} - \frac{x - 2}{3} > \frac{x - 3}{4} \\ [/tex]
Multiply sides by 12
[tex]12 \times ( \frac{x - 1}{2} - \frac{x - 2}{3} ) > 12 \times ( \frac{x - 3}{4} ) \\ [/tex]
[tex](12 \times \frac{x - 1}{2} ) - (12 \times \frac{x - 2}{3} ) > 12 \times \frac{x - 3}{4} \\ [/tex]
[tex](6 \times \: (x - 1)) - (4 \times (x - 2)) > 3 \times (x - 3) \\ [/tex]
[tex]6x - 6 - (4x - 8) > 3x - 9[/tex]
[tex]6x - 6 - 4x + 8 > 3x - 9[/tex]
[tex]6x - 4x + 8 - 6 > 3x - 9[/tex]
Collect like terms
[tex](6 - 4)x + 2 > 3x - 9[/tex]
[tex]2x + 2 > 3x - 9[/tex]
[tex]3x - 9 < 2x + 2[/tex]
Add sides 9
[tex]3x - 9 + 9 > 2x + 2 + 9[/tex]
[tex]3x > 2x + 11[/tex]
Subtract sides 2x
[tex] - 2x + 3x > - 2x + 2x + 11[/tex]
[tex]x > 11[/tex]
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Is this a function?
(-2,3) (-3,3) (2,-3) (3,-3)
Answer:
yes
Step-by-step explanation:
place an x in the table to show the percent decrease from the first number to the sound number. GIVING BRAINLIEST!!!
Answer:
Step-by-step explanation:
1. 150 to 132 is a decrease of 12%
2. 275 to 242 is a decrease of 12%
3. 300 to 255 is a decrease of 15%
Thanks For the Brainliest!
Answer:
1. 150 - 12% = 132
2. 275 - 12% = 242
3. 300 - 15% = 255
NEED HELP !!! give the following information about the linear function shown below. If unsure about placement, round to the nearest half.
Answer:
slope = -3
x-intercept = (4/3,0) = (1.33,0)
y-intercept = (0,4)
f(-1) = 7
Step-by-step explanation:
Take 2 known points
i.e (0,4) and (1,1) from the graph
slope = (1-4)/(1-0) = -3
now we have
linear equation
y = mx+c
we have (0,4)
4 = -3 * 0 + C
C =4
so the equation of line is
y = -3x + 4
now
f(-1) = -3 * -1 +4 = 3+4 =7
for x intercept, put y = 0
o = -3x + 4
x = -4/-3 = 4/3
for y intercept, x = 0
y = -3 * 0 + 4 = 0+4 = 4
can you help me with that
Answer: 55% or 11/20
Step-by-step explanation:
1\2g+2g-3\4g+7
Can someone please help
f(x)= -10x+6 Evaluate the function.
f(-2)=
a.-26
b.-14
c.0.8
d.26
Answer:
D. f ( - 2 ) = 26
Step-by-step explanation:
Step 1:
f ( x ) = - 10x + 6 Function
Step 2:
f ( - 2 ) = - 10 ( - 2 ) + 6 Input x value
Step 3:
f ( - 2 ) = 20 + 6 Multiply
Answer:
f ( - 2 ) = 26 Add
Hope This Helps :)
The distance from point F to point G on a line segment is 5. Point F is at (4,a) and point G is at (1,6). What is the value of coordinate "a"?
Answer:
X is up Y is over
X: 3 Y: 9
X: 9 Y: 3
X: 6 Y: 5
X: 5 Y: 6
Hope This Helps
Can 5x+5y be added together to make 10xy?
Answer:
no
Step-by-step explanation:
You hold a tape measure along the width of a picture frame. One end of the frame is 2 3/4 inches and the other end is at 10 7/16 inches. How wide is the frame in between
Answer:
Width = [tex]7\frac{11}{16}[/tex] inches
Step-by-step explanation:
Given
[tex]End_1 = 2\frac{3}{4}[/tex]
[tex]End_2 = 10\frac{7}{16}[/tex]
Required
Determine the width of frame in between
To do this, we simply calculate the difference between both ends:
i.e.
[tex]Difference = End_2 - End_1[/tex]
This gives:
[tex]Difference = 10\frac{7}{16} - 2\frac{3}{4}[/tex]
Convert to improper number
[tex]Difference = \frac{167}{16} - \frac{11}{4}[/tex]
Take LCM
[tex]Difference = \frac{167 - 44}{16}[/tex]
[tex]Difference = \frac{123}{16}[/tex]
[tex]Difference = 7\frac{11}{16}[/tex]
Hence, the width of the frame is [tex]7\frac{11}{16}[/tex] inches
10 points
Three-fourths was subtracted from a number, and then 5 1/4 was added to the result. The sum was -7.
What was the original number?
A. 3 1/2
B. -11 1/2
C. 2 1/2
D. -3 1/2