The variables of the expression 4x-2y+3 are x and y
What is Variables?
Any qualities, quantity, or number that can be gauged or tallied qualifies as a variable. A data item is another name for a variable. Variables include things like age, sex, business revenue and expenses, country of birth, capital expenditures, class grades, eye color, and type of vehicle.
Given expression,
4x-2y+3
Variable is a representation of an unknown numerical value in an equation or algebraic statement by a symbol, typically a letter.
In this expression
4x - 2y + 3
The variable in this expression is x and y
Hence, the variables are x and y
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Lovely Landscapes has been contracted to plant some trees and bushes at a new park in Townsend. They have a budget of $1008. Each tree(x)costs $63 and each bush(y) costs $28. Write the equation that represents the situation: no spaces,no dollar signs
The equation will be
[tex]63x+28y=1008[/tex]find the area of the shaded sector in terms of Pi
Triangle END is translated using the rule (x, y) → (x−4, y − 1) to create triangle E′N′D′. If a line segment is drawn from point E to point E′ and from point N to point N′, which statement would best describe the line segments drawn?
Given:
Triangle END is translated using the rule
[tex](x,y)\rightarrow(x-4,y-1)[/tex]to create triangle E′N′D′.
Required:
We need to describe the line segment when a line segment is drawn from point E to point E′ and from point N to point N′,
Explanation:
Let E(0,0), N(2,0), and D(0,2) be the points of the triangle END.
Use the translation rule to find the triangle E'N'D'.
Substitute x =0 and y =0 in the translation rule.
[tex]E(0,0)\rightarrow E^{\prime}(0-4,0-1)[/tex][tex]E(0,0)\rightarrow E^{\prime}(-4,-1)[/tex]Substitute x =2 and y =0 in the translation rule.
[tex]N(2,0)\rightarrow N^{\prime}(2-4,0-1)[/tex][tex]N(2,0)\rightarrow N^{\prime}(-2,-1)[/tex]Substitute x =0 and y =2 in the translation rule.
[tex]D(0,2)\rightarrow D^{\prime}(0-4,2-1)[/tex][tex]D(0,2)\rightarrow D^{\prime}(-4,1)[/tex]We get the point E'(-4,-1), N'(-2,-1), and D'(-4,1).
Mark the points E(0,0), N(2,0), D(0,2), E'(-4,-1), N'(-2,-1), and D'(-4,1) on the graph and draw a line segment from point E to point E′ and from point N to point N′,
From the figure, we get that the lines are parallel and congruent.
Final answer:
They are parallel and congruent.
C. 3 to 2 D. 1 to 1Will give brainliest
AS shown in the table :
The number of t-shirts and shorts = 25 + 15 = 40
The number of sunglasses = 10
So, the ratio between them =
[tex]\frac{40}{10}=\frac{4}{1}[/tex]so,the answer will be option B: 4 to 1
Find the union of A and B.Select the correct answer below:{2.5,b,4,f,1/2,c,4.1,a,3,1/3}{2.5,4,1/2,4.1,3,1/3}{b,f,c,a}{2.5,b,1/2,c,4.1,a,3,1/3}
EXPLANATION:
Given;
We are given two sets A and B with the elements as indicated in the attached image.
Required;
We are required to find the union of sets A and B.
Solution;
The union of two sets is given as the elements contained in set A, in set B and the intersection of both.
The elements of set A are;
[tex]A=\lbrace2.5,b,4,f,\frac{1}{2},4.1,c\rbrace[/tex]The elements of set B are;
[tex]B=\lbrace a,3,\frac{1}{3},\frac{1}{2},4.1,c\rbrace[/tex]The intersection of both sets are:
[tex]A\cap B=\lbrace\frac{1}{2},4.1,c\rbrace[/tex]Taking all elements common to both sets A and B including the intersection, we now have the union of both sets;
ANSWER:
[tex]A\cup B=\lbrace2.5,b,4,f,\frac{1}{2},c,4.1,a,3,\frac{1}{3}\rbrace[/tex]The first option is the correct answer.
The tank of a car holds 10 gallons of gas. How many liters does the tank hold?
Given:
The tank of a car holds 10 gallons of gas.
To find the number of liters does the tank hold:
As we know,
1 gallon = 3.785 liters
So that, for 10 gallons
[tex]\begin{gathered} =10\times3.785 \\ =37.85\text{ liters} \end{gathered}[/tex]Thus, the tank can hold 37.85 liters of gas.
yaretzyΣ 21. $1,500 is deposited into a savings account that earns 2.5% simple interest for 4years. How much interest will be earned in the 4 years? *Your answer
We have the next formula to the simple interest
[tex]I=P\times r\times t[/tex]where
I= interest earn after t years
P is the initial deposit
r is the rate
t is the time
P=1500
r=2.5%
t= 4 years
then we substitute the values in the formula
[tex]I=1500(.025)(4)[/tex][tex]I=150[/tex]He will earn $150 after 4 years, his final capital will be $1650
Find the zeros for:f(x)=x^5+2x^4+11x^3+22x^2+24x+48
The given polynomial
[tex]f\mleft(x\mright)=x^5+2x^4+11x^3+22x^2+24x+48[/tex]To get the zeros of the polynomial, the best way to go about it is the graphical method
Upon graphing the polynomial
we will have
What is debt? How does debt create financial risk and instability?
Debt can be defined as a sum of money that is owed or due.
Debt creates financial risk and instability by:
a) spreading economic pain and hardship to the country's citizens and to other countries.
b) causing Financial losses, market turmoil, and sharp slowdowns in trade and economic growth are some of the ways countries can feel the effects of a debt crisis in other countries.
c)Creating a heavy debt load that you can’t pay off, your credit score will start to go down resulting in a bad credit score and report.
d) leading to stress by limiting your ability to enjoy life. This can result in various health issues.
Debt is an obligation that requires one party, the debtor, to pay money or other agreed-upon value to another party, the creditor. Debt is a deferred payment, or series of payments, differentiating it from an immediate purchase. It can lead to financial risk and instability for both individuals and the state at large.
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Can u solve it please
Answer:
1. you have to write down Some nubers in the koordinatsystem
than you can read that it is(if you use only one Box) (-6|5)(6|1)
What do you know about the role of financial accounting standard setting in the United States? This is actually for an intermediate accounting course in college
The role of financial accounting standard setting in the United States is to establish and improve financial accounting and reporting standards to provide useful information to those who need it.
What is the Financial Accounting Standard?The Financial Accounting Standard is a term to refer to an institution established in 1973 that was created with the objective of establishing financial reporting and accounting standards for public and private companies and non-profit organizations.
What is the role of this institution?The main role of this institution is to create accounting standards focused on public companies. This process of creating accounting standards is focused on promoting financial information in the financial field for different institutions and people interested in investing.
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Let f(x) = 9x-2 and g(x)=√√3x +7. Evaluate the following. a g (3)-g (-2) b (g (-1))² Let f(x) -f(0)/x
The given functions are f(x) = 9x-2 and g(x)=√(√3x +7) the value of f (3) and g (3) will be 25 and 3.4592.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that f(x) = 9x-2 and g(x)=√√3x +7.
We obtained that independent variables will have an impact on dependent variables. What occurs as a result of the independent variable is referred to as a dependent variable.
We have to evaluate the values one by one putting the value of an independent variable as,
a) g (3)
g(x)=√(√3x +7)
g(3) = √(√3(3) +7)
g(3) =√(5.196 + 7 )
g(3) =√(12.196)
g(3) =3.492
b)f (3)
f(x) = 9x-2
f(3) = 9× 3 -2
f(3) = 27 - 2
f(3) = 25
Thus, the given functions are f(x) = 9x-2 and g(x)=√(√3x +7) the value of f (3) and g (3) will be 25 and 3.4592.
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Enter values for alien base of the system of equation shown has one solution
we have the system of equations
y=3x+4 ----> equation 1
y=ax+b ----> equation 2
Remember that
The only condition for the system, to have only one solution is that the slopes of both lines are different
so
The values for a are all real numbers except for a=3
The values for b are all real numbers
Therefore
A solution could be
a=2 and b=4The solution is (0,4)
The entire graph of the function f is shown in the figure below.
Write the domain and range of f as intervals or unions of intervals.
The domain of the function f is [-5. -2] U [ 1, 2].
The range of the function f is [-4, 3].
What is a function?A function is defined as a relation between a set of inputs having one output each.
The inputs are called the domain of the function.
The outputs are called the range of the function.
We have,
A graph of the function f.
We can see two curves on the graph.
One curve:
Domain = [1, 2]
Range = [-4, 0]
Other curve:
Domain = [-5, -2]
Range = [-3, 3]
We can combine both the curve domain and the range.
Domain = [-5. -2] U [ 1, 2 ]
Range = [-4, 3]
Thus,
The domain of the function f is [-5. -2] U [ 1, 2].
The range of the function f is [-4, 3].
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32 divided by 27,215 
Answer: 850 R 4
Step-by-step explanation:
Answer:
Is is 0.00117582215
Step-by-step explanation:
I hooked it up
use a system of equations with two variables and two equations to solve.A number is 11 more than another number.twice the sum of the two numbers is 42. find the two numbers
"A number is 11 more than another number" can be expressed as
[tex]x=y+11[/tex]"Twice the sum of the two numbers is 42" can be expressed as
[tex]2(x+y)=42[/tex]So, these two equations for a system. Let's combine them to find y in the first place
[tex]\begin{gathered} 2(x+y)=42 \\ 2(y+11+y)=42 \\ 2(2y+11)=42 \\ 2y+11=\frac{42}{2} \\ 2y+11=21 \\ 2y=21-11 \\ 2y=10 \\ y=\frac{10}{2} \\ y=5 \end{gathered}[/tex]Then, we find x
[tex]x=y+11=5+11=16[/tex]The solution is (16, 5).What is the slope of the line described by the equation y+3=-2x
Using the equation of the line, the slope of the line is -2.
How to find the slope of a line?The slope of a line is the change in y with respect to the change in x.
In other words, slope is rise over run.
Therefore, the equation of a line can be represented as follows:
y = mx + b
where
m = slopeb = y-interceptHence, we will rearrange the equation of the line to get the slope of the line.
y + 3 = - 2x
y = -2x - 3
Therefore, the slope is -2.
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Bryan Joan had 261 dollars to spend on 8 books. After buying them he had 13 dollars. How much did each book cost?
Answer:
8
Step-by-step explanation:
.
Given f(x), use Remainder Theorem to find f(4). f (x) = 2x^3 – 11x^2 + 7x - 5
To find f(4) you divide the given polynomial into (x-4):
To divide:
1. Divide the first term of the dividend by the highest term of the divisor:
[tex]\frac{2x^3}{x}=2x^2[/tex]2. Multiply the divisor by the result:
[tex]2x^2(x-4)=2x^3-8x^2[/tex]3. Substract the product in step 2 from the appropiat terms of the dividend (when you substract the symbols change) (then bring down the next term from the dividend)
4. Repeat previous steps:
[tex]\frac{-3x^2}{x}=-3x[/tex][tex]-3x(x-4)=-3x^2+12x[/tex][tex]\frac{-5x}{x}=-5[/tex][tex]-5(x-4)=-5x+20[/tex]As the remainder is -25:
[tex]f(4)=-25[/tex]please help me out quickly
[tex]A^{-1} =\left[\begin{array}{ccc}0&-3&-2\\-3&-1&14\\1&0&-5\end{array}\right][/tex]
[tex]x =\left[\begin{array}{ccc}108\\-14\\22\end{array}\right][/tex]
Given matrix A:
[tex]\left[\begin{array}{ccc}5&-15&-44\\-1&2&6\\1&-3&-9\end{array}\right][/tex]
To find the inverse of the matrix we start by finding the determinant of the matrix.
|A| = 5(-18+18) + 15(9-6) - 44(3-2)
= 0 + 15(3) - 44 = 45 - 44 = 1
As the determinant 1 ≠ 0, hence the inverse of the matrix exists.
Now, we find the minors of each element of the matrix.
m₁₁ = [tex]\left[\begin{array}{ccc}2&6\\-3&-9\end{array}\right][/tex] = 0
m₁₂= [tex]\left[\begin{array}{ccc}-1&6\\1&-9\end{array}\right][/tex] = 3
m₁₃ = [tex]\left[\begin{array}{ccc}-1&2\\1&-3\end{array}\right][/tex] = 1
m₂₁ = [tex]\left[\begin{array}{ccc}-15&-44\\-3&-9\end{array}\right][/tex] = 3
m₂₂ = [tex]\left[\begin{array}{ccc}5&-44\\1&-9\end{array}\right][/tex] = -1
m₂₃ = [tex]\left[\begin{array}{ccc}5&-15\\1&-3\end{array}\right][/tex] = 0
m₃₁ = [tex]\left[\begin{array}{ccc}-15&-44\\2&6\end{array}\right][/tex] = -2
m₃₂ = [tex]\left[\begin{array}{ccc}5&-44\\-1&6\end{array}\right][/tex] = -14
m₃₃ = [tex]\left[\begin{array}{ccc}5&-15\\-1&2\end{array}\right][/tex] = -5
The cofactor matrix can be obtained as:
[tex]\left[\begin{array}{ccc}0&3&1\\3&-1&0\\-2&-14&-5\end{array}\right][/tex]
Now the adjoint of matrix A (written as adj A) by taking the transpose of the cofactor matrix of A is,
[tex]\left[\begin{array}{ccc}0&-3&-2\\-3&-1&14\\1&0&-5\end{array}\right][/tex]
To determine the inverse of a square matrix A, we use the formula:
A⁻¹ = adj(A) / |A|
Therefore, the inverse of the given matrix is:
A⁻¹ = 1/1 [tex]\left[\begin{array}{ccc}0&-3&-2\\-3&-1&14\\1&0&-5\end{array}\right][/tex]
It is given, Ax = b
and b = [tex]\left[\begin{array}{ccc}-2\\-2\\-2\end{array}\right][/tex]
Let x be [tex]\left[\begin{array}{ccc}a\\b\\c\end{array}\right][/tex]
Putting values in Ax = b equation,
[tex]\left[\begin{array}{ccc}0&-3&-2\\-3&-1&14\\1&0&-5\end{array}\right]\left[\begin{array}{ccc}a\\b\\c\end{array}\right]=\left[\begin{array}{ccc}-2\\-2\\-2\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}-3b-2c\\-3a-b+14c\\a-5c\end{array}\right]=\left[\begin{array}{ccc}-2\\-2\\-2\end{array}\right][/tex]
Equating the three equations with the respective values,
So, -3b - 2c = -2
-3a -b + 14c = -2
a - 5c = -2 ⇒ a+2/5 = c
Solving the above equations we obtain the values of a,b, and c as 108, -14, and 22.
So, the matrix x is
[tex]x =\left[\begin{array}{ccc}108\\-14\\22\end{array}\right][/tex]
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HELP ASAP PLS PLS PLS
Jimmy earned $6840 from the gift basket sold
What is selling price ?
The selling price is how much a buyer pays for a product or service.
Given,
Number per basket for fruits = 12
Total number of fruits shipped last year = 3,420
Per basket price = $24
Now, we have to find total number of baskets
Total number of baskets = 3420 / 12
= 285
Total amount jimmy earned = 285 * 24
= $6840
Therefore, Jimmy earned $6840 from the gift basket sold.
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Please find the square root. Round your answer to the nearest thenth.√121=
Explanation
Step 1
A square root of a number is a value that, when multiplied by itself, gives the number.
hence, we need to find a value(s) that when multiplied by itself gives 121,so
[tex]\sqrt[]{121}=\pm11[/tex]because
[tex]\begin{gathered} 11\cdot11=121 \\ or \\ -11\cdot-11=121 \end{gathered}[/tex]I hope this helps you
3. The volume of the cone is 4π dm3 and the diameter of the base is 80 cm. Calculate the cone: the area of the base.
Answer:
[tex]Area\text{ of the base = 50.24 dm}^2[/tex]Explanation:
Given:
Volume of the cone = 4π dm³
diameter of the base = 80cm
To find:
the area of the base
The base of a cone is a circle. Area of the base will be area of the circle
[tex]\begin{gathered} Area\text{ of a circle = \pi r}^2 \\ r\text{ = radius} \end{gathered}[/tex]diameter = 80cm
diameter = 2(radius)
radius = diameter/2
radius = 80/2 = 40 cm
We need to convert from cm to dm to get same units
10cm = 1 dm
40cm = 4 dm
let π = 3.14
substitute the values into the formula:
[tex]\begin{gathered} Area\text{ of the circle = 3.14 }\times\text{ 4}^2 \\ Area\text{ of the circle = 50.24} \\ \\ Area\text{ of the base = 50.24 dm}^2 \end{gathered}[/tex]the student council raised 2,790 during its annual fundraiser. the money was shared equally among the events committee the sports committee and the sunshine committee. the sports committee wants to use its share of the money to purchase t shirts. if each t shirt costs $12 what is the greatest number of t shirts the sport committee purchase
The student council raised $2,790 and they have to shared equally among 3 comittees, then:
[tex]\frac{2,790}{3}=930[/tex]Each commitee has a budget of $930, then for the sports committee that wants to purchase t-shirts and each t-shirt costs $12, we can create the following expression:
Let x be the greatest number of t-shirts
[tex]\begin{gathered} 12x=930 \\ x=\frac{930}{12} \\ x=77.5 \end{gathered}[/tex]Rounding, the sport commitee can purchase 77 t-shirts.
Find x to the nearest tenth.
The value of x = 42
Given : A right angled triangle with the below mentioned measures :
angles ∠ 1 = 28 °
∠ 2= 25° and the length is 600
To find : the value of x
Let us assume the rest of the length is y that is the side opposite of the angle will now be x + y
thus tan 28 ° = [tex]\frac{x+y}{600}[/tex]
tan 28 °= 0.53 thus the equation after cross multiplying becomes ;
0.53 × 600 = x + y
318 = x + y ------------------ equation 1
And tan 25° = [tex]\frac{y }{600}[/tex]
tan 25 ° = 0.46
After cross multiplying we get : 0.46 × 600 = y
=> 276 = y
Substituting this value in equation 1 we get : 318 = x + 276
=> x = 318 - 276
=> x = 42
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So there's a question and it's like a parallelogram and it's for question true and it's 10' by 5' and I'm trying to find out that area
we have that
the area of a parallelogram is
A=b*h
we have
b=10 ft
h=5 ft
so
A=10*5=50 ft2
area is 50 square feetThe price of tuition has tripled since my parents went to school - that’s a 200% increase
in price.
The statement makes sense. This is because A 200 percentage increase in price corresponds to a price that is 300% of the original price
How to illustrate the information?You can express a fraction of something using percentages. A change in something can be described using percentages. As an illustration, the price of milk increased by 5% last month.
By dividing the value by the entire value and multiplying the result by 100, one may determine the percentage.
A figure or ratio stated as a fraction of 100 is called a percentage. The % sign is frequently used to indicate it. In this case, 200% of something implies that it will give 300% of the initial amount.
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The price of tuition has tripled since my parents went to school thats a 200% increase in price corresponds to a price that is 300% of the original price. Does this makes sense?
Fill out this whole column in an organized manner please
We can calculate the slope as:
[tex]S=\frac{{\Delta}Y}{\Delta X}[/tex]From this, we have: (FIRST ANSWER)
[tex]\begin{gathered} S_{ZY}=\frac{0-\mleft(-3\mright)}{1-6}=-\frac{3}{5} \\ S_{YX}=\frac{-6-(-3)}{1-6}=\frac{3}{5} \\ S_{XW}=\frac{-3-(-6)}{-4-1}=-\frac{3}{5} \\ S_{WZ}=\frac{-3-0}{-4-1}=\frac{3}{5} \end{gathered}[/tex]The length of the non-parallel sides can be measured as:
[tex]L=\sqrt[]{(\Delta Y)^2+(\Delta X)^2}[/tex]From this, we have: (SECOND ANSWER)
[tex]\begin{gathered} L_{ZW}=\sqrt[]{(1-(-4))^2+(0-(-3))^2}_{}=\sqrt[]{25+9}=\sqrt[]{34} \\ L_{ZY}=\sqrt[]{(6-1)^2+(-3-0)^2}=\sqrt[]{25+9}=\sqrt[]{34} \end{gathered}[/tex]From the figure in the beginning and the values we found, this is a Rhombus.
Question in picture will give brainlist
The correct options are first : ∠3 + ∠4 = 180°, third : ∠1 and ∠2 are a linear pair, fourth : ∠2 = ∠4, and fifth : ∠1 = ∠3.
We are given a diagram that has two straight lines that intersect at a point.This results in the formation of four angles ∠1, ∠2, ∠3, and ∠4.The first option is ∠3 + ∠4 = 180°.It is true because ∠3 and ∠4 form a linear pair and are on the same side of the line.The second option is ∠1 = ∠2.It is false because we don't see any relationship between the two angles as such.The third option is ∠1 and ∠2 are a linear pair.It is true because ∠1 + ∠2 = 180°.The fourth option is ∠2 = ∠4.It is true because they are vertically opposite angles.The fifth option is ∠1 = ∠3.It is true because they are vertically opposite angles.To learn more about angles, visit :
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The inner core is solid because the inner core consists of a lot of pressure and high temperatures. And the more pressure and high temperatures the more dense the substance gets.
The inner core is solid because the inner core consists of a lot of pressure and high temperatures. This is true.
How to illustrate the information?The pressure surrounding the inner core, as well as the planet's atmosphere, keeps the iron from melting. The iron atoms cannot migrate into a liquid form due to the pressure and density, which are simply too high.
Temperature is a measure of how hot or cold something is, more particularly the average kinetic energy of the particles in an object, which is a sort of energy related with motion. Temperature is a measure of how hot or cold something is represented in terms of one of several scales, including Fahrenheit and Celsius.
Because the inner core is under intense pressure and is extremely hot, it is solid. And the stuff becomes denser as pressure and temperature increase. Therefore, the inner core's high heat and pressure are what are solidifying it since the denser the stuff is, the more solidified it becomes.
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The inner core is solid because the inner core consists of a lot of pressure and high temperatures. And the more pressure and high temperatures the more dense the substance gets. True or false?
