Answers
We will use graphical method to solve it.
The inequalities are
y<2/3xy≥-x+2Graph both
We can see that the solution region is rightwards
The solution is (1.2,0.8)
Option D as the intersection point is ahead 1 unlike option A
Answer:
Given system of inequalities:
[tex]\large\begin{cases}y < \frac{2}{3}x\\y\geq-x+2\end{cases}[/tex]
When graphing inequalities:
< or > = dashed line≤ or ≥ = solid line< or ≤ = shade below the line> or ≥ = shade above the line[tex]y < \dfrac{2}{3}x[/tex]
The slope of the first inequality is 2/3, therefore at x = 1, y = 2/3.
So the correct line for the first inequality is the dotted line with the shallower slope.
As the relation is < for this inequality, the shading should be below the dotted line.
[tex]y\geq-x+2[/tex]
From inspection of the given graphs, the line of the second inequality (solid line) is the same in all graphs.
As the relation is ≥ for this inequality, the shading should be above the solid line.
Therefore, the only graph that satisfies these conclusions is graph D (attached).
Related Questions
what is all the factors of 27
Answers
Answer:
1x27
3x9
Comment me below if I need to have each possible factor.
Step-by-step explanation:
Alex is repeating the phone number of a friend again and again in his head while he is getting out his phone to enter it into his contacts. This phone number is in:
Answers
The phone number is in Maintenance rehearsal.
What is Maintenance rehearsal?
Maintenance rehearsal is a rehearsal technique that involves straight repetition of data values or information(s) to memorize and remember them.
This rehearsal technique is often referred to as rote rehearsal. The repetition of the digits of a phone number by Alex again and again while he is getting out his phone to enter it into his contacts is an example of maintenance rehearsal.
Learn more about Maintenance rehearsal here:
https://brainly.com/question/5989079
Number between 67 and 113 that is a multiple of 4 5 and 10
Answers
Answer:
80, I don't know if it's right but it is a multiple of 4, 5, and 10 and it is between 67 and 113 so it meets all criteria.
Step-by-step explanation:
Answer:
it is 80
Step-by-step explanation:
4 times 20 equals 80
5 times 16 equals 80
10 times 8 equals 80
Help me answer this.,..........
Answers
Answer:
a + 4b - 24
Step-by-step explanation:
simply multiply 4 to the numbers in the brackets. If there is an unknown variable then write it as it is. Don't forget the to multiply the signs as well.
4 x 1/4a = 1a = a
4 × b = 4b
4 × -6 = -24
Answer:
a + 4b - 24
Step-by-step explanation:
Expand brackets. Each term in the brackets is multiplied by 4.
4( 1/4a) + 4(b) + 4(-6)
4/4a + 4b - 24
4. What is the value of a in the following equation: 6a = 54?
b. 7
C. 12
d. 8
a. 9
Answers
Answer:
9
Step-by-step explanation:
6a=54
a=54/6
a=9
A store uses the expression –2p 50 to model the number of backpacks it sells per day, where the price, p, can be anywhere from $9 to $15. Which price gives the store the maximum amount of revenue, and what is the maximum revenue? (Revenue = price mc023-1. Jpg number of backpacks. ) $9. 00 per backpack gives the maximum revenue; the maximum revenue is $32. 0. $12. 00 per backpack gives the maximum revenue; the maximum revenue is $312. 0. $12. 50 per backpack gives the maximum revenue; the maximum revenue is $312. 50. $15. 00 per backpack gives the maximum revenue; the maximum revenue is $20. 0.
Answers
By maxima and minima concept, p = $12.50 gives the maximum revenue as $312.50
Expression to model number of backpacks = -2p + 50
As we know that
Revenue collected = Price of a backpack * Number of backpacks
If price = $9
Number of backpacks = -2*9+50 = 32
Revenue collected = 9 * 32 = 288
If price = $10
Number of backpacks = -2*10+50 = 30
Revenue collected = 10*30 = 300
If price = $11
Number of backpacks = -2*11+50 = 28
Revenue collected = 11 *28 = 308
If price = $12
Number of backpacks = -2*12+50 = 26
Revenue collected = 12* 26= 312
If price = $13
Number of backpacks = -2*13+50 = 24
Revenue collected = 13 * 24= 312
Since revenue at p=12 and p=13 is the same, it means by the first derivative principle max revenue will be at an average of points p=12 and p=13
Average value = (12+13)/2 = 12.5
What is first derivative principle?It says that if we get the maximum value at a point, the function value at the same distance in its neighborhood will be equal.
Revenue at p=12.5:
12.5* [-2*12.5+50] = 312.5
Therefore, p = $12.50 gives the maximum revenue as $312.50.
To get more about derivatives visit:
https://brainly.com/question/22068446
good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.
The rest of the question with the picture says.
A company is analyzing the data of two branches located in different cities. Part of reviewing the effectiveness of the branches involves analyzing the member statistics on each branch's website.
for part b it says Explain your response to Part A. Be sure to include an explanation for both Branch A and Branch B.
Answers
Answer:
B) Branch A is an exponential function, Branch B is a linear function
Step-by-step explanation:
Branch A is an exponential function as it doubles each week.
Let y = number of visitors
Let x = number of weeks
[tex]y=20(2)^{x-1}[/tex]
Branch B is a linear function as it increases by 4 each week:
Let y = number of visitors
Let x = number of weeks
[tex]y=4x + 16[/tex]
Lauren and her friends were playing basketball in the school yard during lunch. She made 14 out of the 20 she attempted. What percent of the shot did she miss?
Answers
Step-by-step explanation:
14 / 20 x 100 / 1equal to 42
Find the principal.
Annual rate of interest
=
6.5
%
=6.5%equals, 6, point, 5, percent
Period
=
4
=4equals, 4 years
Total interest
=
1222
=1222equals, 1222 rupees
Principal
=
=equals
rupees
what da answer
Answers
Answer:
₹4700
Step-by-step explanation:
The interest, rate of interest, principal, and period of time are related by the simple interest formula. An unknown value can be found using this formula with the known values filled in.
I = Prt . . . . interest on principal P at annual rate r for t years
₹1222 = P(0.065)(4) . . . . . using the given values
₹1222/0.26 = P = ₹4700 . . . . divide by the coefficient of P
The principal that earns the given amount of interest is ₹4700.
Please answer this question
Answers
See the image below.
A drinks manufacturer is reducing the sugar content of one of their fizzy drinks by 8% per year over the next
3 years.
The sugar content of a standard can is currently 35 grams.
Calculate the sugar content of a standard can after 3 years.
Answers
Answer:
27.25408 grams
Step-by-step explanation:
For each year, we subtract 8% of the sugar content. Therefore, for the first year, we subtract 8% from the original sugar content of 35 to get
sugar content - 8% of the sugar content = 35 - 8% of 35 = 35 - 0.08 * 35 = 1 * 35 - 0.08 * 35 = 0.92 * 35. It can therefore be concluded that subtracting 8% of the sugar content is the same as multiplying the current sugar content by 0.92. We do this every year, so the second year is (0.92 * 35) * 0.92 and the third year is ((0.92 * 35) * 0.92) * 0.92 = 27.25408 grams
A pattern develops, and that is that we multiply by 0.92 each year. Therefore, for x years, we multiply by 0.92 x times or 0.92ˣ as a whole. Therefore, our equation can be written as 0.92ˣ * original amount = 0.92ˣ * 35
Express tan J as a fraction in simplest terms
Answers
Answer: 8/15
jk^2+kl^2=lj^2
jk^2+16^2=34^2
jk^2+256=1156
jk= sqrt(1156-256)
jk=sqrt(900)
jk=30
tan J= KL/JK
= 16/30
=8/15
Step-by-step explanation:
A statue stands on a 625 m2 base. An artist creates a replica using a ratio of 1:10 What is the area of the replica's base?
Answers
The new area of the given replica's base is; 6250 m²
What is the required area?
We are given;
Area of base of statue = 625 m²
Now, an artist wants to create a replica of the base of statue but in the ratio 1:10.
This means that the area will increase by a factor of 10 as 1 sq.unit of the old area will represent 10 sq. units in the new one.
Thus, new area = 625 * 10
New area of statue = 6250 m²
Read more about new area at; https://brainly.com/question/26858128
If L = 7 inches, W = 5 inches, and H = 3 inches, what is the volume of the rectangular prism?
A.112 in 3
B.105 in 3
C. 142 in3
D. 71 in
Answers
Answer
B.105 in 3
Step-by-step explanation:
7 x 5 x 3 = 105
–5(s – 30) = –10 please please help me
Answers
Answer:
s=32
Step-by-step explanation:
[tex]\frac{-5}{-5}(s -30) = \frac{-10}{-5}[/tex]
Divide both sides by -5
s-30=2
Add 30 to both sides
[tex]s-30+30=2+30[/tex]
s=32
please help I need it
Answers
Brainliest pls :)
1/12 (14.4 + 18) + 2.75
Answers
Answer:
the answer is 5.45
Step-by-step explanation:
Solve for
x
5
x
+
6
<
3
x
+
7
Give your answer as a fraction
Answers
Answer:
x< 1/2 is the answer
Find the value of x,y and z from the following figure.
Answers
Answer:
Step-by-step explanation:
a boat is purchased for 24,000 and depreciates at a rate of 13.5 each year. What will be the approximate worth of the boat in 5 years
Answers
Answer:
Step-by-step explanation:
price after 5 years
[tex]=24000(1-\frac{13.5}{100} )^5\\=24000(1-0.135)^5\\=24000(0.865)^5\\\approx 11622.29[/tex]
i assumed 13.5%
I have no clue can someone give me the answer
Answers
Answer:
19.3 cm to 3 sig figs
Step-by-step explanation:
See attached image.
Please help I will give brainliest.
Answers
Answer:
5b+3n=30
Step-by-step explanation:
trust me
The sun of two numbers is 88 and their difference is 8 find the two numbers
Answers
Answer:The numbers are 48 and 40
Step-by-step explanation:
Answer:
The two numbers are 48 and 40
Step-by-step explanation:
Solve for the unknown numbers by representing them with two different variables.
I chose X and Y.
Solve using simultaneous equations and you will get 48 and 40
Hope that helps :)
An element with mass 820 grams decays by 26. 8% per minute. How much of the element is remaining after 18 minutes, to the nearest 10th of a gram?.
Answers
The element is remaining after 18 minutes with the rate of decaying of 26.8 % is 2.99 grams.
What is the percentage?The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.
An element with a mass of 820 grams decays by 26. 8% per minute.
Then the mass remaining after one minute will be
Remaining = 100 - 26.8
Remaining = 73.2 %
The element is remaining after 18 minutes will be
Mass = 820 × (0.732)¹⁸
Mass = 820 × 0.00364
Mass = 2.985
Mass ≈ 2.99
The element is remaining after 18 minutes is 2.99 grams.
More about the percentage link is given below.
https://brainly.com/question/8011401
Which expressions are equivalent [tex]\frac{1}{36}[/tex]
Answers
Answer:
6^-2
Step-by-step explanation:
To answer this, you need to know one basic law of indices:
x^-n = 1/x^n
So here 1/36 is the same as 36^-1.
Then we can simply sqr root 36 to give (6^2)^-1.
When two powers are one in and one out of the brackets, they multiply each other. So here it would be 2*-1, which would give -2.
So the answer is 6^-2.
help pls asap. what is the area of the kitchen floor? enter your awnser in the box. in^2
Answers
Answer:
96 in^2
Step-by-step explanation:
You have to divide all the areas into squares, so its easier. Like the 3 by 4 ft box, and the 6 by 12 ft
the equation y = x + 8 represents the length, y, in inches of a sleeping bag for a person who is x inches tall. which ordered pair does not belong on the graph? (64,72) (70,78) (72,80) (74,66)
Answers
The equation of the sleeping bag is a linear equation
The ordered pair that does not belong is (74,66)
How to determine the ordered pair that does not belongThe equation is given as:
y = x + 8
Subtract x from both sides
y - x = 8
This means that the difference between the y and the x values is 8.
From the list of options, we have:
72 - 64 = 8
78 - 70 = 8
80 - 72 = 8
66 - 74 = -8
The difference between 66 and 74 is -8.
Hence, the ordered pair that does not belong is (74,66)
Read more about linear equation at:
https://brainly.com/question/14323743
How do I put this into standard form??
.215(x+1.862)(x-2.862)
Answers
Answer:
Step-by-step explanation: convert .215(x+1.862)(x-2.862)to the required form: 43x2- 200 43x200-57287223 50000000 answers is the last part.
Doris made 80 cookies this week she baked 4less than three times the total she made last week which equation when solved for x gives the number of cookies she baked last week?
Answers
80 = 3x - 4
84 = 3x
x = 28
20% of the students in Mrs. Smith's class are in art club, how many students are in the entire class?