Answer:
Below
Step-by-step explanation:
Any 5 points you want
pick out 5 values of x say -4 -1 0 3 7
and calculate the value of the corresponding 'y' using the equation....then plot those points
b(x) = 6x², when x = 16
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra ISubstitution
Functions
Function NotationApplicationStep 1: DefineLet's see what the problem as given us.
[tex]\displaystyle\begin{aligned}& b(x) = 6x^2 \\& x = 16\end{aligned}[/tex]
Step 2: WorkWe can easily see that we can substitute in x as 16.
[Equation] Define given:∴ our final answer to the question is b(16) = 1536.
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Topic: Algebra I
Unit: Functions
To the nearest tenth, what is the BEST estimate of the value of √24?
A 2.4
B 4.1
C 4.9
D 5.1
Answer: C: 4.9
The original answer is 4.8989, so I rounded 8 to the nearest hundredth and got the answer of 4.9. Having a Mathematics calculator also helps with math like this.
braulio has $15 less than adam. together they have $153. write the system of equations that could be used to determine the amount of money braulio, b, and the amount of money adam, a, has each. how much does braulio make?
The amount of money with Adam and Braulio as per given system of equations is equal to $84 and $69.
As given in the question,
Let 'a' be the amount of money with Adam
And 'b' be the amount of money with Braulio
System of equations as per given given data:
b = a - 15___(1)
a + b = 153 ___(2)
Substitute the value of 'b' in (2) we get,
a + a -15 = 153
⇒2a = 153 + 15
⇒2a = 168
⇒ a = $84
Amount of money with Adam is $84
Amount of money with Braulio is b = 84 - 15
= $69
Therefore, the amount of money with Adam and Braulio is equal to $84 and $69.
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Jeff believes that the following expression will always yield a value that is greater than 2.
2x + 1
Is Jeff correct? Explain why or why not and provide three examples that prove whether or not Jeff's statement is correct
Answer:
Jeff is Incorrect
Step-by-step explanation:
If x ≤ 1/2, the value will either be 2 or less than 2.
x = 1/2 => 2(1/2)+1 = 2
x = 0 => 2(0)+1 = 1
x = -1 => 2(-1)+1 = 0
It will cost $7 per person to hold a birthday party at the recreation center. number of guests: 6,7,8.9,10
The completed table of values is
Number of guests 6 7 8 9 10
Cost 42 49 56 63 70
How to complete the table of values?The complete question is added at the end of this solution
From the question, we have the following parameters that can be used in our computation:
Rate per person = $7
Also from the question, we have the following table of values
Number of guests = 6,7,8.9,10
This means that the cost for x people at the party is
Cost = Number of guests x Rate per person
Substitute Number of guests = 6,7,8.9,10 in the above equation, so, we have the following representation
Cost (6) = 7 * 6 = 42
Cost (7) = 7 * 7 = 49
Cost (8) = 7 * 8 = 56
Cost (9) = 7 * 9 = 63
Cost (10) = 7 * 10 = 70
When represented as a table, we have
Number of guests 6 7 8 9 10
Cost 42 49 56 63 70
The above represents the table of values
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Complete question
PARTY PLANNING It will cost $7 per person to hold a birthday party at the recreation center.
Number of guests 6 7 8 9 10
Cost
Complete the table of values
say we had |v|-1 edges picked from a connected, weighted, and undirected graph. are we guaranteed that these edges form a mst? why or why not?
No, we can't guaranteed that these edges form a MST.
Since the edge (u, v) has the lowest weight in the graph, we begin by supposing that there is no MST of the graph that contains it. The contradiction that results from this is as follows. The graph must have at least one MST if it is connected because we know it has at least one spanning tree.
Think about such an MST T. Keep in mind that, based on our first hypothesis, it does not contain the edge (u, v). Therefore, by adding (u, v) and eliminating one other edge, let's say (x, y), from the cycle that the new edge creates, we can transform it into another spanning tree, denoted T'. Because (u, v) is the edge with the lowest weight, (x, y) has a weight larger than or equal to (u, v), and as a result, T's total weight is less than or equal to T.
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Help me aspp please before 11:59
1. In the first and third tables, there is no direct relationship, in the third table, there is a direct relationship.
2. y = 5x,b = (1/2)a and m = 5n are direct variation.
3. The constant of proportion is 5 and x when y is 49 will be 8.8
What are the ratio and proportion?The ratio is the division of the two numbers.
For example, a/b, where a will be the numerator and b will be the denominator.
Proportion is the relation of a variable with another. It could be direct or inverse.
1.
(a) In the table x/y = -4/-8 = 1/2 is not maintained in 6/18 so it will not direct variation.
(b) In the table x/y = -5/-4 = is not maintained in 2/10 so it will not direct variation.
(c) In the table x/y = -3/-12 = 1/4 maintained so it will direct variation.
2.
A variation in the form of x ∝ y will be a direct variation so y = 5x,b = (1/2)a, and m = 5n are direct variations.
3.
As per the given y ∝ x then y/x = 35/7 = 5 so the constant of proportionality is 5.
When y = 49
x = 49/5 = 9.8
Hence "1. In the first and third tables, there is no direct relationship, in the third table, there is a direct relationship.
2. y = 5x,b = (1/2)a and m = 5n are direct variation.
3. The constant of proportion is 5 and x when y is 49 will be 8.8".
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Please help me with this problem
Answer:
the answer is number three
Step-by-step explanation:
820×10 = 8200
Devon pays $19.95 for her roller skates. After she pays $6.95 for each visit to the roller rink. What is the greatest number of visits she can afford if the total amount she spends cannot be more than $82.50
Answer: 9 visits
Step-by-step explanation:
Let x = number of visits to the rink
19.95 + 6.95x ≤ 82.5
6.95x ≤ 82.50 - 19.95
6.95x ≤ 62.55
x ≤ 62.55/6.95
x≤ 9
if sin(x y)=3x−2y, then dydx=
The derivative of the given function sin(xy)=3x−2y is obtained as;
dy/dx = 3sec(xy)/x - y/x
Explain the term differentiation?Differentiation is the process of separating something or someone from others. When you distinguish between two toothpaste brands, you draw attention to their differences. The word different is evident in differentiation.The given equation is-
sin(xy) = 3x − 2y
Be sure to account for both sides of this argument.
d/dx(sin(xy)) = d/dx(3x − 2y)
Differentiate the equation's left side.
Set the left side equal to a right side to reform the equation.
x.cos(xy).y' + y.cos(xy) = 3
Solve for y'.
y' = 3sec(xy)/x - y/x
Thus, replace y' with dy/dx
dy/dx = 3sec(xy)/x - y/x
Thus, the derivative of the given function sin(x y)=3x−2y is obtained as;
dy/dx = 3sec(xy)/x - y/x
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What is the variable? -7+4x=5
Answer: x =3
Step-by-step explanation:
-7+4x=5
4x = 12
x =3
Answer:x=3 good luck You got this one
Step-by-step explanation:
-7+4x=5
Move the constant to the right-hand side and change its sign
4x=5+7
Add the numbers
4x=12
Divide both sides of the equation by 4
x=3
Suppose triangle GHJ cong triangle CVB.; CV=8.GJ=11 , and VB = 9 What is GH ?
Answer:
b
Step-by-step explanation:
Overview
Question Progress
Here is a list of numbers.
-45 -21
-16
12 33 40
11
a) Write down two numbers from the list that add up to -9.
c) Work out the sum of all the numbers in the list.
12 13 14
b) Write down two numbers from the list that have a difference of 29.
-21 + 12
Answer:
Step-by-step explanation:
fly
Light travels at the speed of 3,00,000 km per second. Light from the sun reaches us in 8 minutes. If a supersonic jet were to travel from the sun at the speed of 1000 km per hour, approximately how long would it take to travel the same distance?
please tell anyone of you very fast
options are
A)3 months B)5 years
C)17 YEARS D)221 YEARS
The time taken by the jet to reach the earth form sun is 3 months
The correct option is option A)
What is speed?
Speed is a scalar quantity that refers to "how fast an object is moving." Speed can be thought of as the rate at which an object covers distance.
We are given that
Light travels at the speed of 3,00,000 km per second. Light from the sun reaches us in 8 minutes
We first find the distance between sun and earth
to do that we multiply speed of light and time taken by light to reach earth
D = 300000*8
D= 2400000km
Now we are given the speed of the jet which is 1000km/hr
We have to find the time taken by the jet to reach the earth
To do that we divide the distance by speed we get
t = 2400000/1000
t =2400 hr.
3 months
The time taken by the jet to reach the earth form sun is 3 months
The correct option is option A)
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Which of the following functions is represented in the graph?
cosine graph with points at 0 comma 3, pi comma negative 5, and 2 times pi comma 3
f(x) = 4cos(2x) + 3
f(x) = 8cos(2x) + 3
f(x) = 4cos(x) − 1
f(x) = 8cos(x) − 1
The function represented in graph is f(x) = 4cos(x) - 1. We can find it by putting given points in following options and checking whether it is matching to graph or not (hit and trial method)
What are trigonometric functions?
6 trigonometric functions are Sine, Cosine, Tangent, Cotangent, Secant, Cosecant .
Cosine ranges from (-1 to 1) for x.
Given points are 0, pi, and 2pi
For 0 , cos(0)= 1
For pi, cos(pi) = -1
For 2pi, cos(2pi) = 1
In f(x) = 4cos(x)-1
For x = 0,
f(0)=4cos(0)-1
3 = 3 i.e. correct.
For x = pi
f(pi) = 4cos(pi)-1
-5 = -5 i.e. correct
also correct for 2pi.
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Estimate 64.5 divided by 12.3 using rounding 60 divided by 10
64.5 divided by 12.3 using rounding 60 divided by 10 gives 5.33.
What are mathematical operations?Calculate the answer using a math operator is referred to as a mathematical operation.
Basic mathematical operations are addition, multiplication, subtraction and division.
The given numbers are,
64.5 and 12.3.
When 64.5 is divided by 12.3.
The 64.5 can be rounded as 64
And 12.3 can be written after rounded as 12
Now divide 64 by 12.
64 / 12 = 5.333
The value of 64.5 divided by 12.3 is 5.33.
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5(2x-3) < 35, the solution set is {x|x <(blank) }
Answer:
x<5
Step-by-step explanation:
5(2x-3) < 35
_____ ___
5 5
2x-3<7
2x<10
_ _
2x 2x
x < 5
what expression is equivalent to 3/4a + 2/3 - 1/2a - 1/3 + 1/2a
Answer:
(3/4)a + 1/3
Step-by-step explanation:
3/4a + 2/3 - 1/2a - 1/3 + 1/2a
(3/4)a + (2/3) - (1/2)a - (1/3) + (1/2)a [added () to clarify. Is "3/4a" (3/4)a or 3/(4a)?
(3/4)a + (2/3) - (1/2)a - (1/3) + (1/2)a
(3/4)a - (1/2)a - (1/3) + (1/2)a + (2/3)
(3/4)a - (1/2)a + (1/2)a - (1/3) + (2/3) [Rearrange: like terms together]
a[(3/4) - (1/2) + (1/2)] - (1/3) + (2/3) [bring out the "a"]
a[(3/4)] + (1/3) [simplify]
(3/4)a + 1/3
The lid of a rectangular box of side
[tex]40cm \: by \: 10m[/tex]
is to be sealed all round with tape.
[tex]what \: is \: the \: length \: of \: the \: tape \: required[/tex]
A falling object travels a distance given by the formula d=2t+2t^2, where d is measured in feet and t is measured in seconds. How many seconds will it take for the object to travel 59 feet? Round the answer to 4 decimal places.
PLEASE HELP!
The number of miles y varies directly with the number of hours x as shown in the graph. write a direct variation equation to represent this relationship. then identify the constant of variation and interpret it's meaning.
Answer:rise over rub
Step-by-step explanation:
Please help me im so close to getting caught up but I’m still behind and I only have 2 hours!!
The ratios of calories Robyn burned on Thursday to the number of calories she burned for the week is 3 : 20.
What is ratio?Ratio, in math, is a term that is used to compare two or more numbers. In other words, a ratio is a comparison of two or more numbers that indicates their sizes in relation to each other.
Therefore, the ratios of calories Robyn burned on Thursday to the number of calories she burned for the week can be calculated as follows:
Let's represent it in fractions,
calories burn on Thursday / calories burn for the week
calories burn on Thursday = 360
calories burn for the week = 488 + 551 + 610 + 360 + 391 = 2400
Hence,
360 / 2400 = 36 / 240 = 12 / 80 = 3 / 20
Therefore, the ratio is 3:20
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Assuming the cost of an associate leaving within 90 day is $3,000 what will be your facility's approximate cost of early turnover for this year?
The facility's approximate cost of early turnover for this year is $45000.
The cost of turnover is the cost associated with turning over one position. This calculation includes the cost of hiring for that position, training the new employee, any severance or bonus packages, and managing the role when it is not filled. Every company will experience some turnover.
Turnover cost refers to expense both tangible or intangible associated with replacing an employee. It is extremely high: it's estimated that losing an employee can cost a company 1.5-2 times the employee's salary.
Shift A has number of associated leaving the facility within 90 days is 8, per associated cost is $3000 and total cost is $24000.
Shift B has number of associated leaving the facility within 90 days is 5, per associated cost is $3000 and total cost is $15000.
Shift C has number of associated leaving the facility within 90 days is 2, per associated cost is $3000 and total cost is $6000.
Shift D has number of associated leaving the facility within 90 days is 0, per associated cost is $3000 and total cost is $30.
Therefore
Total cost = $24000 + $3000 + $6000
Total cost = $45000
Hence the facility's approximate cost of early turnover for this year is $45000.
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There are 18 boys and 12 girls in a math class . What is the ratio of girls to total students
Answer:
The ratio of girls to total students is 12:30, which can be simplified to 2:5.
Step-by-step explanation:
You can express the ratio in different ways by using the same numbers, for example, you could say that for every 2 girls, there are 5 total students, or that for every 5 total students, 2 of them are girls.
3) Find the slope of each line. Tell whether the slop is Positive, Negative, Undefined or Zero
Answer: slope = -1
Step-by-step explanation:
count number down vs number it takes to get back to the line.
For example, 1 down, 1 across
A Birr 1,000 deposits is made at a bank that pays 12% interest compounded monthly. How much will be in the account at the end of 10 years?
Answer:
$15400
Step-by-step explanation:
1 year = 12 month
10 years = 120 months
12% = month
1440% = 120 months
1440% = 14.4
Take 1000 times 14.4 = $14400
So, we add the two numbers
1000 + 14400 = $15400
So, $15400 will be in the account at the end of 10 years.
Kevin ate 2/5 of a pie. Su yung ate 3/10 of the pie. how much of the pie did Kevin and Su Yang eat together
The total amount of pie Kevin and Su Yung ate together is 7/10 of the pie
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the total amount of pie Kevin and Su Yung ate be = A
Now , the equation will be
The amount of pie Kevin ate = 2/5 of the total pie
And ,
The amount of pie Su Yung ate = 3/10 of the total pie
So , the equation is
Total amount of pie Kevin and Su Yung ate = amount of pie Kevin ate + amount of pie Su Yung ate
Substituting the values in the equation , we get
Total amount of pie Kevin and Su Yung ate A = 2/5 + 3/10
Total amount of pie Kevin and Su Yung ate A = ( 4 + 3 ) / 10
Total amount of pie Kevin and Su Yung ate A = 7 / 10 of the total pie
Therefore , the value of A is 7/10
Hence ,
The total amount of pie Kevin and Su Yung ate together is 7/10 of the pie
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2) Ratio of basketballs to soccer balls
1)
2:1
OPEN ENDED QUESTION
In example #2, which quantity will you write first:
basketballs or soccer balls? Why?
The ratio of basketballs to soccer balls is 2 : 1
The quantity which would be written first if basketballs to soccer balls is 2 : 1 is basketball
What is ratio?This refers to a number representing a comparison between two or more named things.
If the ratio of basketballs to soccer balls = 2 : 1
This means,
Basketball : soccer ball = 2 : 1
Therefore, Basketball is the quantity which would be written first because it comes first in the given expression.
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James is buying furniture for her new apartment. She buys one dining room table and four chairs and cost $265. Mark buys 2 tables and 6 chairs for the total cost of $470.
The system of equations below represents the scenario.
x + 4y = 265
2x + 6y = 470
Define the variables for x and y.
Determine the cost for one dining room table.
Using the system of equation, the cost of one dinning table is 145 dollars.
How to find the cost of one dinning table?James is buying furniture for her new apartment. She buys one dining room table and four chairs and cost $265. Mark buys 2 tables and 6 chairs for the total cost of $470.
The system of equation that represent the situation is as follows:
let
x = cost of one dinning room table
y = cost of one chair
Therefore,
x + 4y = 265
2x + 6y = 470
using substitution method,
x = 265 - 4y
2(265 - 4y) + 6y = 470
530 - 8y + 6y = 470
-2y = 470 - 530
-2y = -60
y = -60 / -2
y = 30
Hence,
x = 265 - 4(30)
x = 265 - 120
x = 145
Therefore,
cost of one dinning table = 145 dollars
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what is the height of the flag pole?
Answer:
x = 135
Step-by-step explanation:
the 2 situations are similar with ratios of corresponding sides in proportion , that is
[tex]\frac{x}{54}[/tex] = [tex]\frac{90}{36}[/tex] ( cross- multiply )
36x = 54 × 90 = 4860 ( divide both sides by 36 )
x = 135