Answer:
x = 3
Step-by-step explanation:
Since both have f(x), the substitution method can be used.
1. f(x) = -3x - 1
2. f(x) = -10
Therefore,
-3x - 1 = -10
Flip to positive to calculate more easily since all are negative (although, this is optional.)
3x + 1 = 10
3x + 1 - 1 = 10 - 1 (to make one side x and other side number)
3x = 9
x = 3
Hope this helped! ^^
Anna is in charge of the alumni fundraiser for her alma mater. She is selling pre-sale tickets for $10 and at-the-door tickets for $20. The venue has the capacity to hold 400 people. The graph represents the number of tickets Anna needs to sell to offset her upfront costs and raise $5,000 for her school
A.400
B.300
C.250
D.100
Number of At-the-Door tickets Anna needs to sell to make her goal = 100
Anna is selling pre-sale and at-the-door tickets.
Let 'x' be the number of pre-sale tickets and 'y' be the number of at-the-door tickets.
Price of a pre-sale ticket = $10
Price of an at-the-door ticket = $20
Total price to be raised = $5000
So the equation corresponding is 10x+20y = 5000-----------(1)
Total number of people the venue can hold = 400
Thus the next equation is x+ y = 400---------(2)
From the graph the line with points (0,250) and (500,0) represent the equation (1) since 10 x 0 + 20 x 250 = 5000 and 10 x 500 + 20 x 0 = 5000.
The line with points (0,400) and (400,0) represent the equation (2) as 0+400 = 400 and 400+0 = 400.
So to find x and y we need to solve equations (1) and (2).
10 x (2) ⇒ 10x+10y = 4000-------(3)
Now subtract (3) from (1)
⇒ 10y = 1000
⇒ y = 100
Hence the number of At-the-Door tickets Anna needs to sell to make her goal = 100
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is 6.34 a rational number
Answer: Yes
Step-by-step explanation: can be written as 6 17/50
Answer: yes because its a terminating number
Which of the following inequalities would be graphed with an open circle?
3(x - 2) < 18 and h + 6 > -3h + 12 would be graphed with an open circle.
Open circle is a term used for numbers that are less than (<) or greater than (>). On the other hand, Closed circle is used for numbers that are less than or equal to (≤ ) and greater than or equal to (≥).
Here, we are given four inequalities, let us check them one by one-
A. h + 6 > -3h + 12
⇒ 4h > 6
or h > 3/2
Here, we see that there is no equality sign, this means that 3/2 won't be included and hence h + 6 > -3h + 12 would be an open circle inequality.
B. 7 ≥ d/3
⇒ d ≤ 21
Here, we can clearly see the equality sign which means that 21 will be included. Hence, 7 ≥ d/3 would not be graphed with an open circle.
C. 3(x - 2) < 18
x - 2 < 6
x < 8
Here, we see that there is no equality sign, this means that 8 won't be included and hence 3(x - 2) < 18 would be graphed with an open circle.
D. 2y ≤ 14
y ≤ 7
Here, we can clearly see the equality sign which means that 7 will be included. Hence, 2y ≤ 14 would not be graphed with an open circle.
Thus, 3(x - 2) < 18 and h + 6 > -3h + 12 would be graphed with an open circle.
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We can calculate the depth d of snow, in centimeters, that accumulates in Harper's yard during the first h hours of a snowstorm using the equation d=5h.
How many hours does it take for 1 centimeter of snow to accumulate in Harper's yard?
How many centimeters of snow accumulate per hour?
Please helpppp.Will vote the brainliest?I don't understand
Answer:
1.5
2.1/5
Step-by-step explanation:
How would you write 730,812 in word form?
Answer Seven hundred and thirty thousand eight hundred twelve
1+2+3+4+...+4567+4568+4569=? ill mark brainliest
Answer: 10440165 ==> sum of sequence
Step-by-step explanation:
4569+1=4570
4570/2=2285==> Average number in the sequence
4569-1+1=4569 numbers in the sequence. I find the number of numbers in the sequence by subtracting the last number in the sequence by the first number in the sequence (4569-1) and adding 1 to the difference.
2285*4569=10440165 ==> sum of sequence
List five tasks that a layer can perform. is it possible that one (or more) of these tasks could be performed by two (or more) layers?
Error control, flow control, segmentation and reassembly, multiplexing, and connection setup are five tasks that a layer can perform.
Flow control: It is the efficient management of data flow between two or more devices like computers or nodes of a network.
Error control: The identification and correction of errors that occur during the transmission of data is called error control.
Segmentation and reassembly: Data to be transmitted is divided into small parts or chunks for convenience. This process is called segmentation. The combining of these chunks to reform the original data is called reassembling.
Multiplexing: The process of combination of digital data streams in one signal over a shared medium is known as multiplexing.
Connection setup: Establishing a connection between two devices that are connected to the same network is called connection setup.
All these tasks can be duplicated at different layers.
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the following five questions are focused around a startup company. management is trying to gain insight on current employees and have sent out a short anonymous survey to them. read each prompt carefully and determine the variable type for each question. employees were asked to report their typical daily commute time, in minutes. what type of variable would their response be considered?
The correct option is C. Quantitative Continuous
The type of variable would their response be considered is Quantitative Continuous Variable.
What is Quantitative Continuous Variable?Quantitative variables describe some aspect of the individual and are frequently measured (for example, body mass is evaluated with a scale) or counted (for example, the number of needle punctures necessary to receive the biopsy specimen has been counted).
A quantitative variable could be discrete or continuous. A continuous variable can theoretically take on any value under an interval.
Some key features regarding the Quantitative Continuous Variable are-
Continuous variables can accept any value within a given range. Continuous variables are also metric or quantitative variables because they can contain an infinite number and value between two points. A variable is continuous if members of the group can theoretically fall any place on a spectrum to small amounts of an attribute on one end and huge quantities of a feature on the other. Continuous variables are frequently measured in units that are infinitely small.To know more about the Quantitative Continuous Variable, here
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The complete question is-
The following five questions are focused around a startup company. Management is trying to gain insight on current employees and have sent out a short anonymous survey to them. Read each prompt carefully and determine the variable type for each question.
Employees were asked to report their typical daily commute time, in minutes. What type of variable would their response be considered?
A. Categorical Nominal
B. Categorical Ordinal
C. Quantitative Continuous
D. Quantitative Discrete
help please !!! example is not needed :)
Answer:
b
Step-by-step explanation:
In which data format does each column start and end at the same place in every row?
Fixed-Width is data format does each column start and end at the same place in every row.
What do statisticians mean by nominal data?
Nominal data is information that may be labeled or categorized within a variable into groups that are mutually exclusive. It is impossible to meaningfully rank these categories. For instance, you might have the options of a vehicle, bus, rail, tram, or bicycle for the nominal variable "preferred mode of transportation."Nominal data have a quality?
Quantitative and qualitative nominal data are also possible. But there is no numerical value or link for the quantitative designations (e.g., identification number). However, different kinds of qualitative data can also be expressed in nominal form.Learn more about Fixed-Width
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In+a+recent+poll,+64%+of+the+respondents+supported+stricter+gun+laws.+is+this+an+example+of+statistic+or+a+parameter?
In a recent poll, 64% of the respondents supported stricter gun laws is statistic.
What is an example of a parameter?
To describe the entire population under study, a parameter is utilized. For instance, we are interested in learning the typical length of a butterfly. This information about the total butterfly population makes it a parameter.What is an example of a population parameter?
A parameter is a descriptive measure applied to a whole population. Numerous population parameters exist. For instance, the population size (N) is one parameter, while other parameters that relate to continuous variables are the population's mean diastolic blood pressure or mean body weight.Learn more about population parameter
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What does k∈R mean in algebra?
Answer: The symbol ∈ indicates set membership and means “is an element of” so that the statement k∈R means that k is an element of the set R. In other words, k is one of the objects in the collection of (possibly many) objects in the set R.
The black graph is the graph of y=f(x)
Angie and Kenny play online video games. Angie buys 2 software package and 2 months of gameplay. Kenny buys 1 software package and 3 month of game play. Each software package cost $20. If their total cost is $160, what is the total cost of one month of gameplay?
Find the Perimeter of the figure below , composed of a rectangle and a semicircle Round to the nearest tenths place.
The perimeter of the figure is 53.7.
What is perimeter?Perimeter can be defined as the total distance around a object.
To calculate the perimeter of the the figure below, we use the formula below.
Formula:
P = 2l+w+πw/2.......... Equation 1From the diagram,
Given:
l = 14w = 10π = 22Substitute these values into equation 1
P = (2×14)+10+(3.14×10/2)P = 28+10+15.7P = 53.7Hence, the perimeter of the figure is 53.7
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answer the photo
please do it correctly
Answer:
65
Step-by-step explanation:
180 -( 95 + 20 )
=180 - 115
= 65
I need answer please. I don’t know how to divide and what to divide by.. could someone give me answers to these questions?
Answer:
1) 60 miles per hour (60.00, if rounded)
2) 152 customers per day (150, if rounded)
3) 3.5 meters per second (3.50, if rounded)
4) 1.48 dollars per pound (1.48, if rounded)
5) 0.4825 dollars per pair (0.48, if rounded)
( shown work in screenshots, 1-5; magnify it to see better :D )
A plane leaves the airport and travels east for 2.5 hours at a speed of 240 miles per hour. It then travels south for 500 miles. a)Calculate the distance of the plane from the airport. b)Calculate the bearing of the plane from the airport.
a) The distance of the plane from the airport is approximately 781.025 miles.
b) The bearing of the airplane in standard position is approximately 320.194°.
How to calculate the distance and the bearing of the bearing from the airport
Let the location of the airport be the origin and the orthogonal axes are oriented to the east and north, respectively. Beside, let consider that the plane moves at constant speed. a) Thus, the distance of the plane can be found by using the Pythagorean Theorem:
d = √[[(240 mi / h) · (2.5 h)]² + (500 mi)²]
d ≈ 781.025 mi
b) And the bearing in standard position is determined by the following inverse trigonometric function:
θ = tan⁻¹ [(- 500 mi) / [(240 mi / h) · (2.5 h)]]
θ ≈ 320.194°
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convert 574 inches to yards foot and inches
Answer:
Firstly, you need to divide by 36! That'll tells you how many yards there are. Then, divide the remainder by 12! That'll tells you how many feet are there. The final remainder tells you the number of inches!
Smallest
437.55
437.49
437.15
437.5
437.05
Largest
Answer:
smallest to largest will be:
437.05 , 437.15, 437.49, 437.5, 437.55
Step-by-step explanation:
an easier method i use is to simply check the 1st digit rhat comes after the decimal point if the whole numbers are similar.
in a case where there is only one number after the decimal while the rest have 2, for example 437.5, simply add a 0 to make it even as the rest
A manufacturing company has decided to be carbon free by 2030. what can it do to achieve this goal?
The manufacturing company has decided to be carbon free by 2030. so, it can reduce its pollution rate by using environmentally friendly equipment to achieve this goal.
Pollution:
The term pollution refers any substance that negatively impacts the environment or organisms that live within the affected environment.
Given,
A manufacturing company has decided to be carbon free by 2030.
Here we need to find the solution to achieve this goal.
To achieve this goal the company can take many measures this includes,
To completely switching to alternative sources of energy. The company can reduce its pollution rate by using environmentally friendly equipment.
By making maximum use of renewable energy in the company, in which energy can be emitted using solar energy, windmill etc.
And by planting more and more trees, the amount of oxygen in our environment should be increased.
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What is the remainder when f(x) = x4 + 7x3 + 17x2 + 20x is divided by x2 + 4?
Answer:/
Step-by-step explanation:
Simplify 2x+x+x+2y×3y×y
Answer: 6y^3 +4x
Step-by-step explanation:
collect like terms
2x + x + x + 2y * 3y *y
so
6y^3 +4x
Answer:
6y3 + 4x ( 3 is cube)Step-by-step explanation:
2x + x + x + 2y ( 3 )yy
2x + x + x + 6y 3
Combine Like Terms:2x + x + x + 6y3
( 6y3 ) + ( 2x + x + x)
6y3 + 4x
Stretch by a factor of 3, shift 3 units left, and down 5 units. Shift 9 unit up .
Answer:Stretch by a factor of 3, shift 3 units left, and down 5 units. Shift 9 unit up .Stretch by a factor of 3, shift 3 units left, and down 5 units. Shift 9 unit up .Stretch by a factor of 3, shift 3 units left, and down 5 units. Shift 9 unit up .Stretch by a factor of 3, shift 3 units left, and down 5 units. Shift 9 unit up .Stretch by a factor of 3, shift 3 units left, and down 5 units. Shift 9 unit up .Stretch by a factor of 3, shift 3 units left, and down 5 units. Shift 9 unit up .
Step-by-step explanation:
What does the pair of equations y = 1, z = 7 represent? in other words, describe the set of points (x, y, z) such that y = 1 and z = 7.
The intersection of two plans is represented by the pair of equations y = 1, z = 7. The set of points is (0,1,7) and the line is parallel to the x axis.
What is intersection of planes?In geometry, a plane is a flat plate which extends in all directions to infinity.
Intersecting planes are non-parallel planes that always intersect in a straight line.The two planes cannot cross more than one line.A good illustration of intersecting planes is the two connecting borders, the binding side of a book, where all of the papers (planes) meet.Now, as per the question;
Consider the following equation.
y = 1 denotes a vertical plane in the xy plane.
Z = 7 denotes a horizontal plane parallel to the xy plane.
Both planes intersect and are perpendicular to each other.
y = 1 and z=7 is the intersection of two plans where x is zero and y = 1 and z = 7.
Therefore, the points are (0,1,7), and also the line is parallel to the x axis.
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the width of a rectangle is 4ft more than twice the width. the perimeter of the rectangle is 26ft. What are the dimensions of the rectangle?
Let w represent the width.
The length of the given rectangle is 4ft more than twice the width. The perimeter of the particular rectangle is 26ft. Length and width of the rectangle is [tex]10ft[/tex] and [tex]3ft[/tex]
As per the question statement, The length of the given rectangle is 4ft more than twice the width. The perimeter of the particular rectangle is 26ft.
We are supposed to find out dimensions of the rectangle.
Let length of the rectangle = l
Width of the rectangle = w
[tex]l = 4 + 2w[/tex]
Perimeter of rectangle = [tex]2(l+w)[/tex]
Above mentioned are the given conditions in the linear equation form.
Perimeter of rectangle = [tex]2(l+w)[/tex] = 26 ft.
[tex]l+w = \frac{26}{2}[/tex]
[tex]l+w =13[/tex]
substituting [tex]l = 4 + 2w[/tex]
[tex]4+2w+w=13\\4+3w=13\\3w=13-4=9\\w=\frac{9}{3}[/tex]
[tex]w=3[/tex]
Hence width is 3ft.
Now length, [tex]l = 4 + 2w[/tex]
[tex]l=4+2*3\\l=4+6\\l=10[/tex]
And length is 10ft.
Perimeter: Perimeter is the added distance of all the edges of a shape.To learn more, click on the link given below:
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Convert 6 hours into weeks. Round your answer to the nearest hundredth.
Answer:
6 Hours = 0.0357 Weeks
Rounding off o nearest hundredth we get
=> 0.36
All done!
Solve the system 2x + y = 5, x + 3y = 0 by graphing.
Answer:
Step-by-step explanation:
Suppose the graph of y=x^2 is shifted left 6 units. Complete the modified equation: y=
please help
The equation of the modified graph is y = (x + 6)^2
How to complete the modified equation?The equation of the graph is given as
y = x^2
The graph is shifted to the left by 6 units
This is represented as:
(x, y) = (x + 6, y)
So, we have
y = (x + 6)^2
Hence, the equation of the modified graph is y = (x + 6)^2
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if X over 3 equals to 4 over 6. What is X?
Answer:2 beacuse if u divide 4 by 2 and 6 by 2 u get 2/3
Step-by-step explanation: