Answers
Answer:
[tex]\displaystyle y<-\frac{1}{5}x+1[/tex]
Step-by-step explanation:
Graph of an inequality
The graph represented in the image is a line and we have two clear points through which the line passes.
Those points are (0,1) and (5,0).
The equation of a line can have the slope-intercept form:
y=mx+b
Substituting the point (0,1):
1=0+b
b=1
Substituting the point (5,0):
0=m(5)+1
Solving for m:
[tex]\displaystyle m=-\frac{1}{5}[/tex]
The equation of the line is:
[tex]\displaystyle y=-\frac{1}{5}x+1[/tex]
The origin belongs to the solution if we substitute (0,0) the inequality should stand:
0<1
Or:
0≤1
Since the line is dashed, the boundary line is not part of the solution
Thus the inequality is:
[tex]\boxed{\displaystyle y<-\frac{1}{5}x+1}[/tex]
Option D.
Related Questions
A popular dance club allows 29 customers to enter per hour. The club has to keep their occupancy below 600 at any time during the day. Currently, the club has 339 customers. If none of the customers leave, how many more hours, x, can the club continue to accept new customers?
Select the number line that includes the largest number of hours the club can continue to accept new customers without exceeding their occupancy.
Answers
Answer:
The club can continue to accept customers for 9.66 hours, after which they'll have exceeded 600.
Step-by-step explanation:
339 + 29h = 600
29h = 261
h = 9.66
jarak kota a ke kota b adalah 130 km Amir berangkat dari a pukul 8.15 menuju b dengan kecepatan rata-rata 50 km per jam Amir tiba di kota b pada pukul
Answers
Answer:
10:51
Step-by-step explanation:
Given that :
Distance from A to B = 130km
Departure time = 8 : 15
Average speed = 50 km/hr
Recall :
Speed = distance / time
Time = distance / speed
Time = (130 km) ÷ (50km/hr)
Time = 130 / 50
Time = 2.6 hours = 2 hours + (0.6 * 60) = 2 hours 36 minutes
Arrival time = (8:15) + (2 hours 36 minutes) = 10:51
Mary has been offered two jobs. Job A has a starting salary of $36,000 and a raise of $1500 every year. Job B has a starting salary of $29,000 and a raise of $2500 every year. In how many years would Mary's salary be the same at both companies. What would that salary be?
Answers
Answer:
6 years. Mary's salary would be 46,500.
Step-by-step explanation:
It's hard for me to explain how I got the answer. But I know the answer is right(I know cause I checked my work like five times).
find the midpoint of the line segment JK if j (4,6) and k(0,-4)
Answers
Answer:
[tex](2,1)[/tex]
General Formulas and Concepts:
Order of Operations: BPEMDAS
Midpoint Formula: [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
Step-by-step explanation:
Step 1: Define points
J (4, 6)
K (0, -4)
Step 2: Find midpoint
Substitute: [tex](\frac{4+0}{2},\frac{6-4}{2})[/tex]Add/Subtract: [tex](\frac{4}{2},\frac{2}{2})[/tex]Divide: [tex](2,1)[/tex]25% of the dogs at a park are Corgis. There are 28 dogs at the park. How many dogs at the park are NOT Corgis?
07
O 14
O 20
O 21
O 24
Answers
Answer: 21
Step-by-step explanation:
Mason gave the waiter a $14.58 tip, which was 15 percent of the dinner bill. What was the amount of the dinner bill before he added the tip?
A. $9.72
B. $21.87
C. $97.20
D. $218.70
Answers
Answer:
21.87
Step-by-step explanation:
Which diagram shows possible angle measures of a triangle?
Answers
Answer:
The 2nd one
Step-by-step explanation:
A triangle has to equal 180 and 115+32+33=180
Answer:
the second one
Step-by-step explanation:
the angles have to add up to 180 in total and that one does
The pull of gravity is different on Earth than on the Moon. An object that weighs 25 pounds on Earth weighs about 4 pounds on the Moon. An astronaut, wearing all the necessary gear, weighs 500 pounds on Earth. How many pounds would the astronaut with gear weigh on the Moon?
Answers
Answer:
About 80 pounds
Step-by-step explanation:
25 / 4 = 6.25
500 / 6.25
Answer:
80 pounds
Step-by-step explanation:
explain three situations under which the President of India can proclaim emergency
Answers
Answer:
The President can exercise his emergency powers in three types of emergencies: national emergency, state emergency, and financial emergency.
National Emergency is imposed by the President on request by the Prime Minister’s cabinet of ministers. Article 352 of the Indian Constitution states that an emergency can be called in the event of imminent danger to the national security due to armed rebellion, war or external aggression.
State Emergency is often referred to as President’s Rule. State emergency is declared under Article 356, in the event when the state government collapses and the constitutional machinery fails in a particular state. It can be imposed for a period of six months and can last only for three years with parliamentary consent required every six months. The Governor, the President’s representative in the state, governs the state under emergency in the name of the President.
Financial Emergency is imposed by the President if he reckons financial stability of the country is in danger. Article 360 empowers the President to declare this emergency on the condition that it would be approved by the Parliament within two months of its enforcement.
Jose got 56 questions correct on a test, which gave him a 70%. How many questions were on the test
Answers
Divide correct questions by percentage:
56/ 0.7 = 80
There were 80 questions total.
Solve the problem.
In less than two months the world will be celebrating Christmas, a season of gift giving. The Philippines is noted for the
longest Christmas celebration because Filipinos just love Christmas. One of the Filipino traditions during Christmas is the
exchange of gifts between families or friends. This year you want your gift to be very special, you want to make a personalized
gift box for your mother. The gift box has a volume of (2x - 10x2 - 8x + 58) cubic inches, the height of the gift box (2x-2) inches,
length of (4x-5) inches and width of (x + 1) inches.
Make a gift box using the given above by solving the value of x. Use any available materials at your home and be
creative.
Answers
Step-by-step explanation:
Filipino Christmas practices. Every country has its own set of traditions to follow for the Yuletide season, but Filipinos do it best. After all, we celebrate Christmas longer than any other country ...
have a nice day ahead hope it will help you
love u dear
Which graph correctly matches the equation y = 2-x?
Answers
Answer:
This is the graph I got (0,2) (2,0)
Step-by-step explanation:
Create an equation for each of the following sentences
1) The sum of a number and 12 is 16
helppp
Answers
Answer: x+12=16
Step-by-step explanation: hope this helps
Help I have 1 hr to finish this assignment! Ahhhhh! Will gib brainliest!
Answers
Answer:
I think its A
Step-by-step explanation:
Answer:
i think its b yea b
Step-by-step explanation:
i just need the answers, u dont need to show ur work :)
Answers
Answer:
10 units
Step-by-step explanation:
Formula to find the distance between two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is,
d = [tex]\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]
Distance between two points (0, -7) and (-6, 1) will be,
d = [tex]\sqrt{(0+6)^2+(-7-1)^2}[/tex]
= [tex]\sqrt{36+64}[/tex]
= [tex]\sqrt{100}[/tex]
= 10
Therefore, distance between the given points is 10 units.
The value of y varies directly with x. If x = 4, then y = 20.
What is the value of x when y = 60?
5
7
12
44
Answers
Answer: 12
Step-by-step explanation:
Since value of y varies directly with x, we introduce a constant, k which will give:
y = kx
If x = 4, then y = 20 we then calculate the value of k.
y = kx
20 = 4k
k = 20/4
k = 5
We then find the value of x when y = 60. This will be:
y = kx
60 = 5x
x = 60/5
x = 12
The value of x is 12 when y is 60
The tax rate as a percent, r, charged on an item can be determined using the formula StartFraction c Over p EndFraction minus 1 equals r. – 1 = r, where c is the final cost of the item and p is the price of the item before tax. Louise rewrites the equation to solve for the final cost of the item: c = p(1 + ). What is the final cost of a $40 item after an 8% tax is applied? $
Answers
Answer:
43.20
Step-by-step explanation:
Had to take one for the team
Answer:
The answer is 43.20.
What is the volume of the geometric solid produced by the triangle below
when it is rotated 360 degrees about the vertical axis YZ? *
Answers
Answer:
The volume of the geometric solid produced is 391 cubic cm ⇒ A
Step-by-step explanation:
When a right triangle is rotated about its vertical leg 360°, then it formed a cone its radius is the horizontal leg of the triangle and its height is the vertical lege of the triangle.
The rule of the volume of the cone is V = [tex]\frac{1}{3}[/tex] π r² h, where
r is the radius of its baseh is the length of its height∵ Triangle XYZ is rotated 360° about the vertical side YZ
∴ It formed a cone with a radius = XZ and a height = YZ
∵ [tex]\frac{YZ}{XZ}=tan(60)[/tex]
∵ YX = 6√3
∴ [tex]\frac{6\sqrt{3}}{XZ}=tan(60)[/tex]
∵ tan(60) = √3
∴ [tex]\frac{6\sqrt{3}}{XZ}[/tex] = √3
→ By using cross multiplication
∴ 6√3 = XZ(√3)
→ Divide both sides by √3
∴ 6 = XZ
∵ XZ = r and YZ = h
∴ r = 6 and h = 6√3
→ By using the rule of the cone above
∵ V = [tex]\frac{1}{3}[/tex] (π) (6)² (6√3)
∴ V ≅ 391 cm³
∴ The volume of the geometric solid produced is 391 cubic cm
Can you plz help me with this question ?
Answers
Answer:
AC=PR because a and c are the first and third letters of the first group so you would do the same with the second.
Step-by-step explanation:
help!!! please & explain if can:(
Answers
Answer:
x = 15
Step-by-step explanation:
AEB is a right angle, a right angle is 90 degrees
this means 5x+15 needs to equal 90
plug in 15 for x
5 x 15 + 15 = 90
hey anyone under 15 wanna be freinds ?
Answers
Answer:
sure
Step-by-step explanation:
im 5 tho :(
Meeeeee I’m 14 <3.............
Please help me I will mark you as brainlist pls you need to pick 2 answers
Answers
Answer:
i believe the answer is option 1 and option 4
Step-by-step explanation:
Answer:
3 mi / 1hr
6 mi / 2hr
Step-by-step explanation:
4 pounds of sugar can make 8 batches of candy corn. How many pounds of sugar are needed if we want to make 12 batches of candy corn?
Answers
6
(4=8 so 8+4=12 which means, the answer is 2 because we can´t do 16, which is 8+8. But we can split the 4 in half since 4 is half of 8.)
Quadrilateral ABCD is graphed on a coordinate plane with the vertices A(-9,-6), B(-4,-6), C(-3,-2), and D(-8,-2). A. Quadrilateral ABCD is translated to the left 2 units and up 6 units. Write the translation in terms of x and y using ordered pair notation. B. Determine the coordinates of the vertices of the image. Be sure to name each of the vertices of the image with the correct notation.
Answers
Answer:
translated :
A'(-11,0)
B'(-6,0)
C'(-5,4)
D'(-10,4)
Step-by-step explanation:
1+1+????????????????????????
Answers
Answer: 4
Step-by-step explanation:
1+1+2=4. Jk
thx for the free points
Answer:
8432324
Step-by-step explanation:
Writing the Equation of a Line in Slope-lh
Given Two Points
Try it
Write the equation of the line that passes through
the points (-1, 2) and (6, 3) in slope-intercept form,
Step 1: Choose (X1Y1).
Answers
Answer:
[tex]y=\frac{1}{7}x +\frac{15}{7}[/tex]
Step-by-step explanation:
Which of the following expressions is equivalent to 3m(m - 2) - (m^2 + 1)
A. 2m^2 - 1
B. 4m^2 - 1
C. 4m^2 - 6m + 1
D. 2m^2 - 6m - 1
Answers
What is the value of n in the equation { (2n + 4) + 6 = -9 +4(2n+1)?
n =
N= 1
Answers
Answer:
n=1
Step-by-step explanation:
its stay same always.
Question 3 of 10
What is the slope of the line shown below?
10
A.
13
6
(1.6)
o
B.
6
16
- 5
C.
6
13
5
• (-5, -7)
D.
6
13
Answers
Answer:
c
Step-by-step explanation:
when divided by 8 i am 70 when divided by 7 i am 80
Answers
Answer:
your answer is 560 am I correct.
8×70=560 /560 =8
70
7×80=560. / 560 =7
80