Answers
A mathematical function is a mathematical relationship where each input value (x) has a unique output value (y), which means that it is a relationship where every individual value for the independent variable always results in a specific predictable value for the dependent variable.
What is meant by mathematical function?A mathematical function is a mathematical relationship where each input value (x) has a unique output value (y), which means that it is a relationship where every individual value for the independent variable always results in a specific predictable value for the dependent variable.
The exact same number of elements from Y are assigned to each element of X via a mathematical function from a set X to a set Y. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.
A mathematical phrase, rule, or law that establishes the relationship between two variables, one of which is independent and the other dependent (the dependent variable)
The complete question is:
What is a mathematical function? After studying the vending machine examples, write a definition that communicates precisely what it means for a mathematical relationship to be a function.
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Related Questions
Use the given graph to complete the table. Then write an equation representing the relationship.
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The equation of the relation is y = 3/2x.
x | y
0 0
2 3
4 6
How to Write the Equation that Represents a Proportional Relationship?To write the equation for the proportional relationship between two variables, x and y, find the unit rate, k, which is k = y/x.
Substitute the value of k into y = kx to write the equation of the relationship.
Using a point on the line, (2, 3):
k = y/x = 3/2
Substitute k = 3/2 into y = kx:
y = 3/2x
Using the equation, substitute each of the values of x in the table to get the corresponding value of y:
For 0:
y = 3/2(0)
y = o
For 2:
y = 3/2(2)
y = 3
For 4:
y = 3/2(4)
y = 6
The table is:
x | y
0 0
2 3
4 6
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Write a word to match the equation. 3+( 4 x 12 )
Answers
Answer:
The sum of 3 and the product of 4 times 12.
Step-by-step explanation:
The equal sign would mean the words "the sum", which also corresponds with "3+". The 4 x 12 would be referred to by "the product" and "times".
Pls help me with this due tomorrow!
Answers
Answer: y = 3x +1
Step-by-step explanation:
y =mx +b
m(slope) = 3
b(y-int) = ?
y = 3x+b
substitute in values
4 = 3(1) +b
4 = 3+b
b = 1
y= 3x+1
A circular swimming pool has a radius of 4
metres and a depth all over of 3 metres. Find the
volume of water in cubic metres, to the nearest
cubic metre. __m³.
Help please
Answers
= pie (4)(4) x (3)
= 48 pie
= 150.72 cubic metres
Answer: The volume of the circular swimming pool to the nearest cubic meter is 151 [tex]m^{3}[/tex].
Step-by-step explanation: According to the question the swimming pool is in the shape of a cylinder, and the top is circular having a radius and depth.
To calculate the volume of a cylinder(pool) we will use the formula for the volume of a cylinder:
The radius of the cylinder = 4 m
height h=3
The volume of the cylinder (V) = [tex]\pi r^{2} h[/tex]
=[tex]\pi (4)^{2} *3[/tex]
Plugging π =3.142
= 3.14*16*3
=150.72 [tex]m^{3}[/tex]
rounding off to the nearest cubic meter
=151 [tex]m^{3}[/tex]
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QUICKLYYY
Which situation below has the lowest constant of proportionality?
A) 40 ounces of fabric softener cost $20.00.
B) 20 ounces of powder laundry detergent costs $4.00.
C) 30 ounces of laundry scent boosters cost $12.12.
D) 90 ounces of liquid laundry detergent cost $36.00.
Answers
Answer: D
Step-by-step explanation:
Because I can math
find X. (this is multiple choice the options are 3, 49, or 27
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Please help me. I’ve tried but I kept getting it wrong for some reason
Answers
Answer:
43
Step-by-step explanation:
Trust me, this is the right answer.
Answer:
Rate of change =$43
Step-by-step explanation:
Rate of change is also known as the gradient or slope
Gradient= y2 - y1 / x2 - x1
The Xcoordinate is usually written first.
Y2 = 384
Y1= 169
X2=8
X1= 3
Rate of change= 384- 169 /8-3
= 215/5
= $ 43
A piece of pipe that is 8 feet long is cut into 1/4 ft pieces. How many pieces can be cut from the pipe?
Responses
A 30 pieces
B 28 pieces
C 8 pieces
D 32 pieces
Answers
Answer:it is 32 peices d
Step-by-step explanation:
Find the value of the variable.
Answers
Answer:
x = 22
Step-by-step explanation:
(88 - x)° = 3x°
-x - 3x = -88
-4x = -88
[tex]x = \frac{-88}{-4} \\\\ x = 22[/tex]
Ebony is cutting dough for pastries in her bakery. she needs all the pieces to be congruent triangles and has ensured that segment ef ≅ segment on and ∠mon ≅ ∠gef. what would ebony need to compare in order to make sure the triangles are congruent by sas? segment om and segment ef segment eg and segment om segment nm and segment fg segment eg and segment mn
Answers
The parts of the triangles Ebony needs to compare so as to make sure both triangles are congruent by SAS are;
[tex] \overline{EG} [/tex] and [tex] \overline{OM}[/tex]What are congruent triangles?Two triangles are said to be congruent when the three sides and three interior angles of one triangle have the same measure as the three sides and the three interior angles of the other triangle.
The given triangles are ∆MON and ∆GEF
The segments and angles that Ebony has ensured are congruent are;
[tex] \overline{EF} \cong \overline{ON}[/tex]
[tex] \angle{ MON} \cong \angle{ GEF}[/tex]
The method by which Ebony intends to use to make sure that the two triangles are congruent, SAS, Side–Angle–Side congruency postulate.
The Side–Angle–Side congruency postulate states that two triangles are congruent if two sides and an included angle in one triangle are congruent to the corresponding two sides and included angle in the other triangle.
Given that the sides that form included angles with [tex] \angle{ MON} [/tex] are [tex] \overline{ON}[/tex] and [tex] \overline{OM}[/tex] and the sides that form an included angle with [tex] \angle{ GEF}[/tex] are [tex] \overline{EF} [/tex] and [tex] \overline{EG} [/tex], the other segments Ebony needs to compare are therefore the segments;
[tex] \overline{EG} [/tex] and [tex] \overline{OM}[/tex]
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Fill in the missing number.
80% of 95 =
Answers
Answer: The answer is 76
Step-by-step explanation:
Solve for a, b, and c.
a =
b=
C=
C
40⁰
Answers
B = 90 (right angle)
90 - 40 = 50
So C = 50
francesco obtains a loan of $18,965.00. the loan has a simple interest rate of 3%. how much interest will francesco owe at the end o the first year
Answers
The interest owned by Francesco at the end of one year would be $19023.69.
What is the formula to calculate the simple interest on a given principle amount?
The simple interest on a given principle amount [P] at rate [r%] for [t] years is given by -
I = (P x r x t)/100
Given is Francesco who obtains a loan of $18,965.00 at an interest rate of 3% for 1 year.
From the data given, we can write -
Principle amount = [P] = $18,965.00
Rate = [R] = 3%
Time = [T] = 1 year
Now, using the formula for calculating the simple interest, we get -
I = PRT/100
Substituting the values -
I = (18965 x 0.3 x 1)/100
I = (18965 x 0.3)/100
I = 189.65 x 0.3
I = 58.69
Amount = P + 58.69 = 18965 + 58.69 = 19023.69
Therefore, the interest owned by Francesco at the end of one year would be $19023.69
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Jenna had a collection of 206 quarters, nickels, and dimes. She has twice as many nickels as
she does dimes. All of her coins together are worth $31.70. How many of each coin does she
have?
With equational proof
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In linear equation, $56.65are the value of the coins in dollars .
What is a linear equation example?
Ax+By=C is the usual form for two-variable linear equations.As an illustration, the conventional form of the linear equation 2x+3y=5 When an equation is given in this format, finding both intercepts is rather simple (x and y).A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.The variables in the previous sentence, y and x, are referred to as a "linear equation with two variables" at times.We need to find how many of the 206 coins are nickels, dimes, or quarters.
We know the quantities of each coin in relation to one another.
From that relationship we can set up a ratio.
Let Q = number of quarters
Let D = number of dimes
Let N = number of nickels
Then Q:D:N = 1:1:2
this tells us if the girl had 4 coins, she would have 1 quarter, 1 dime, and 2 nickels.
We want to keep this same ratio but we want the total number of coins to be 206.
If we divide 206 by 4, we get the number that we use to multiply our ratio.
206/4 = 51.5
So she has 51.5 quarters, 51.5 dimes, and 103 nickels.
the value of the coins in dollars = 51.5(0.10) + 51.5(0.05) + 103(.25) = $56.65
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PLEASE QUICK HELP MEE
Answers
Answer: 130 degrees
Step-by-step explanation:
The interior angle where line c intersects line b is equal to 50 (given). therefore, its supplementary angle is 130 degrees. the opposite angle is therefore equal to 130 degrees, which makes angel x equal to 130 degrees.
https://www.mathplanet.com/education/pre-algebra/introducing-geometry/angles-and-parallel-lines
Kayla's mom left a 20% tip for a restaurant bill that was $35. She used the expression 1.20 (35) to find the total cost. Which equivalent expression could she also use to find the total cost?
O 35 +0.2
O (1+0.2)35
O 1+0.2(35)
O 1.02(35)
Answers
The equivalent expression which could be used to find the total cost is; ( 1 + 0.2 ) 35.
What is the equivalent expression to the given expression 1.20 (35)?It follows from the task content that the expression which is equivalent to 1.20(35) as given in the task content is to be determined.
Since the given expression whose equivalent is to be determined is; 1.20 (35).
Since a 20% tip indicates a 0.2 fraction of the whole, the resulting equation is therefore;
( 1 + 0.2 ) 35.
And ultimately, the required equivalent expression is; (1 + 0.2) 35.
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A student is working on finishing a scale
model of the Eiffel Tower. The actual
tower is 1,083 feet tall and 410 feet wide
at the base. If the model currently has a
base that is 0.75 feet wide, which would
be the scale factor of the model to the
tower?
1:410
3: 1640
1:0.75
Answers
The scale factor of model to the tower is 3:1640.
What is scale factor?The scale factor states the scale by which a figure is bigger or smaller than the original figure.
In other words, scale factor is a ratio between two corresponding sides of similar figures.
Therefore, the actual tower is 1,083 feet tall and 410 feet wide at the base.
The scale model currently has a base that is 0.75 feet wide.
Therefore, the scale factor of the model can be calculated as follows;
The scale factor can be written as a ratio or fraction.
The scale factor of the base to the model is the same with the height of the tower to the model.
0.75 : 410
multiply both side by 100
75 : 41000
divide both sides by 25
Therefore,
3 : 1640
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Factor each quadratic expressionx^2-2x-15
Answers
When we are factoring a quadratic function, we are trying to reverse the following equation
[tex](x+a)(x+b)=x^2+(a+b)x+ab[/tex]Now, comparing the right-hand side of the above equation and the one given in the problem we see that
[tex]\begin{gathered} a+b=-2 \\ ab=-15 \end{gathered}[/tex]This means the question simplifies to "what are the two numbers that if I add them I get -2 and if I multiply them I get -15? "
Well, If we set a = -5 and b = 3, then
[tex]\begin{gathered} -5+3=-2 \\ -5\cdot3=-15 \end{gathered}[/tex]Hence, our expression factors to
[tex](x-5)(x+3)[/tex]Kareem went for a drive in his new car. He drove at a speed of 63 miles per hour for 157.5 miles. For how many hours did he drive?
Answers
Answer: He drove for 2 hours and 30 minutes. Hope you do great! :)
Answer:2.5 hours
Step-by-step explanation:
I need this answer in detail as soon as possible.
This is grade 6 maths
It will be better if you write in in a paper step by step answer and attach the picture.
Answers
The answer is 14metres 4m long 3m wide 2 x (4+3) = 14
Each length of bunting is 70 cm but a knot at each end will take 2 x 5 = 10 cm off
1400 / 60 = 23.333…
So she will need 24 lengths of bunting
One week, Claire earned $395.00 at her job when she worked for 25 hours. If she is paid the same hourly wage, how many hours would she have to work the next week to earn $126.40?
hurry, please<3
Answers
Answer:
8?
Step-by-step explanation:
so if 25 hours gets her to 395 dollars that you divide 395 by 25 to get how much money she makes per hour.
you get 15.8 then you have to see how many hours she has to work to make 126.40 which is 8 cuz 15.8 * 8 = 126.4
I THINK??
Question number 4, how do I do the equation for question 4?
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100 ml of the first solution and 200 ml of the second are required.
I know it's easy but, I'm thinking of different ways of doing it.
Answers
Answer:
9 students
Explanation:
Every 8th person that entered the cinema received a free ticket.
The number of students who entered in the first hour = 76.
The first person given a ticket was the 8th person.
To calculate the number of persons who received a free ticket, we can view this problem as an arithmetic sequence in which:
• The first term = 8
,• The last term = 76.
,• The common difference (every 8th person) = 8.
Using the formula for the last term of an arithmetic sequence, we have:
[tex]\begin{gathered} l=a+(n-1)d_{} \\ 76=8+8(n-1) \end{gathered}[/tex]Our goal is to find n, the number of students.
[tex]\begin{gathered} 76=8+8n-8 \\ 76=8n \\ n=\frac{76}{8} \\ n=9.5 \end{gathered}[/tex]Since the number of students that entered in the first hour is not more than 76, we have that:
[tex]\begin{gathered} n\le9.5 \\ \implies n=9 \end{gathered}[/tex]9 students received a free ticket.
Each statement is either a phrase or a clause.
Drag each statement into the correct column of the table.
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
Phrase Clause
Answers
Answer:
phrase- around the corner- very slowly- Peter and michael
clause- put in the closet- when i go to school
Step-by-step explanation:
A clause is a collection of words with a subject and a verb. The words that make up a phrase do not include a subject or a verb.
Hope this helps! \( ﾟヮﾟ)/
Step-by-step explanation:
phrase- around the corner- very slowly- Peter and michael
clause- put in the closet- when i go to school
Step-by-step explanation:
A clause is a collection of words with a subject and a verb. The words that make up a phrase do not include a subject or a verb.
What is a line that passes through (3,1) and (0,-3)
Graph slope
Answers
Answer:
y=4/3x-3
Step-by-step explanation:
(y2-y1)/ (x2-x1)
I need help with this question
Answers
Answer:
x = 7
Step-by-step explanation:
For line q and line r to be parallel lines,
the angle with a measure of 108 and the angle represented with measure 15x + 3 must be alternate interior angles which means two angles have equal measures so we can write the following equation:
15x + 3 = 108 subtract 3 from both sides
15x = 105 divide both sides by 15
x = 7
what is eighty nine divided by six
Answers
Answer:
about 14, (its not a whole number but its the closest i could get)
Step-by-step explanation:
Answer:
14.833333333
Step-by-step explanation:
I'm assuming you want a rounded answer (14.83), but if you didn't it's 14.83 into perpetuity (meaning that the 3's don't end!)
Hopefully, I helped!
Express the ratio below in its simplest form.
6
:
2
:
6
Answers
Answer:
3 : 1 : 3
Step-by-step explanation:
6 : 2 : 6 ← divide each part ot the ratio by 2
3 : 1 : 3 ← in simplest form
Can you please help me , last one like this
Answers
Answer:
-5
Step-by-step explanation:
m = (11 - 6) / (13 - 14) = 5/(-1) = -5
Answer:
-5
Step-by-step explanation:
1-6/15-14=-5/1=-5
HELP! I have a paper due and I have no idea how to do this problem! I attached a screenshot of the problem any help is appreciated.
Answers
Answer:
7.5
Step-by-step explanation:
750 is the volume, so divided by then is 75, then divided by 10 again is 7.5
Hope this helps!
Answer:
7.5
Step-by-step explanation:
10x10x7.5=750