1. 2x + y =
2. 3x + 2y =
3. 3y + 2x =
4. 10x + 4y + 2x =
5. 6y + 5x =
6. 7x + 4y =
Answers
The Question is based on the concept of Linear Equations and its answer will vary as the values of x and y varies
What is Linear Equations?
A linear equation is an algebraic equation in which the unknown variable is represented by a linear combination of terms and constants. It is a mathematical expression that can be written in the form ax + b = c, where a, b, and c are constants, and x is an unknown variable. Linear equations can be used to describe and solve a variety of real-world problems, such as finding the cost of a product or the distance between two points. Linear equations are also used in the fields of calculus, geometry, and physics.
Here we will just take value of x = 1 and y = 2 to show how this works
putting these values in all 6 Linear Equations we will get that
2x+y = 2(1)+2= 2+2 = 4
similarly in other 5 Question.
3x+2y = 7
3y + 2x = 8
10x + 4y + 2x = 10 + 8 + 2 = 20
6y + 5x = 12 + 5 = 17
7x + 4y = 7 + 8 = 15
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Related Questions
¿Cuantas permutaciones pueden hacerse con la palabra columna?
Answers
Answer:
Se pueden hacer 5040 permutaciones con la palabra COLUMNA.
Explanation:
La palabara COLUMNA posee 7 letras, por lo que debemos hacer permutación sin repetición.
La formula es:
P_^{n}: n!
Donde n son todos los elementos.
(a) Suppose that to provide additional funds for higher education, the federal government adopts a new income tax plan that consists of the 2010 income tax plus an additional 200 dollars per taxpayer. Let gg be the function such that g(x)g(x) is the 2010 federal income tax for a single person with taxable income xx dollars, and let hh be the corresponding function for the new income tax plan.
Write a formula for h(x)h(x) in terms of g(x)g(x):
h(x)=
⋅g(=
)+=
(b) Suppose that in order to pump more money into the economy during a recession, the federal government adopts a new income tax plan that makes income taxes 95 percent of the 2010 income tax. Let gg be the function such that g(x)g(x) is the 2010 federal income tax for a single person with taxable income xx dollars, and let hh be the corresponding function for the new income tax plan.
Write a formula for h(x)h(x) in terms of g(x)g(x):
h(xh(x)=
⋅g(=
)+=
Answers
h(x) = g(x) + 200, which means the average new income tax is the sum of the original income tax and an additional flat fee of 200 dollars per taxpayer.
h(x) = g(x) + 200
h(x) is the new income tax for a single person with taxable income x dollars.
g(x) is the 2010 federal income tax for a single person with taxable income x dollars.
Therefore, h(x) = g(x) + 200, which means the new income tax is the sum of the original income tax and an additional flat fee of 200 dollars per taxpayer.
The new income tax plan consists of the 2010 income tax plus an additional 200 dollars per taxpayer. To represent this mathematically, we let g(x) be the function such that g(x) is the 2010 federal income tax for a single person with taxable income x dollars, and let h(x) be the corresponding function for the new income tax plan. By examining the new income tax plan, we can see that the new income tax is the sum of the original income tax plus an additional flat fee of 200 dollars per taxpayer. Thus, h(x) = g(x) + 200, which is a concise formula that captures the essence of the new income tax plan. This formula shows that the new income tax is simply the original income tax increased by a fixed amount of 200 dollars.
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very easy 5th grade question giving brainliest. look at photo and answer
Answers
Answer: 20 over 4
Step-by-step explanation: me smart
please anybody solve this problem step by step as soon as possible
Answers
Answer:
39 pages
Step-by-step explanation:
If 13 pages are read in 1/3 of an hour, we need to multiply 13 by 3 to get the number of pages read in 1 hour. 13*3 = 39 pages
3
2
1
-1
-2
-3
Determine the period.
2
4
6
8
10 12 14
Answers
The calculated period of the function is 12
How to determine the period of the functionFrom the question, we have the following parameters that can be used in our computation:
The graph
By definition, the period of the function is calculated as
Period = Difference between cycles or the length of one complete cycle
Using the above as a guide, we have the following:
Period = 13 - 1
Evaluate
Period = 12
Hence, the period of the function is 12
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11) Calculate the single discount equivalent for chain discounts 45%, 24%, 10%.
A) 37.62%
B) 41.67%
C) 58.33%
D) 62.38%
I already know it’s D I just need an explanation because I have to know this for competition on thursday please help
Answers
62.38% is the necessary discount. Basic discount calculations include multiplying the original price by the given percentage rate in decimal notation.
What is the percentage of discount ?Suppose MP is 100. later Net SP
\($=(100-10) \%$\) of \($(100-24) \%$\) of \($(100-45) \%$\) of \(100 $=90 \%$\) of \($76\%$\) of \($55\%$\) of 100
\($$=\left(\frac{90}{100} \times \frac{76}{100} \times \frac{55}{100} \times 100\right)=37.62$$\)
Required discount \(=(100-68.40) \%=31.6 \%$\)\(=(100-37.62) \%=62.38 \%$\)
The simplest method for figuring out a discount is to multiply the original cost by the percentage rate in decimal notation. Any item's selling price is determined by deducting the discount from the purchase price.
An enormous, red percentage symbol with a black outline. If you multiply two percentages that are fractions of 100 or decimals, you can find the percentage of another percentage. Calculating, for instance, 50% of 40% results in (50/100) x (40/100) = 0.50 x 0.40 = 0.20 = 20/100 = 20%.
Therefore the correct answer is option D ) 62.38%
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Graphs of a function and its inverse are shown on the same coordinate grid.
Which statements accurately compare the function and its inverse? Check all that apply.
The domains of the two functions extend to positive infinity.
The ranges of the two functions are all real numbers.
The x-intercept of f(x) and the y-intercept of f–1(x) are reciprocals of each other.
The point of intersection of the two functions indicates that the functions are inverses.
Neither function has a minimum.
Answers
The correct statements are;
The x-intercept of f(x) and the y-intercept of f–1(x) are reciprocals of each other.
The point of intersection of the two functions indicates that the functions are inverses.
Option C and D
How to determine the correct statementsTo accurately compare a function and its inverse based on the graphs, we have to know the following;
The domains of the two functions extend to positive infinity if the domain of the inverse function is equivalent to the range of the original function.The ranges of the two functions are all real numbers if the graphs cover the entire y-axis without any gaps or discontinuities.If the graphs intersect at the point (a, b), it means that f(a) = b and f^(-1)(b) = a, indicating that the functions are inverses of each other.
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Given the linear function f(x) = 3x + b. If b is increased by 5, how would the line shift?
Answers
Answer:
the line would move up five units because b is the y intercept, and the y intercept determines the position of the line, not the look or slope of the line
Answer:
THE LINE WOULD MOVE UP 5 UNITS
Step-by-step explanation:
On a coordinate plane, circle has its center at the point (3, −6). The point (−1, −2) is on circle .
Which of these statements are correct? Choose ALL that are correct.
Responses
The line = − 1 is tangent to circle at P
The line = − 1 is tangent to circle at P
The area of the circle is 32 square units
The area of the circle is 32 square units
The radius of the circle is 4√2
The radius of the circle is 4√2
The range of the circle is (−6 − 4√2) ≤ ≤ (−6 + 4√2) -
The range of the circle is (−6 − 4√2) ≤ ≤ (−6 + 4√2) -
The point (4, −0.5) is on the circle.
The point (4, −0.5) is on the circle.
The equation of the circle is ( − 3)² + ( + 6)² = 32
Answers
We can conclude that the equation of the circle is (x - 3)² + (y + 6)² = 32, where (3, -6) is the center and 4√2 is the radius. Option 3 and 6 are correct options.
Based on the information given, we know that circle has its center at the point (3, -6) and a radius of 4√2. We also know that the point (-1, -2) and (4, -0.5) are on the circle.
Using the distance formula, we can confirm that the distance between the center of the circle and each of these points is indeed 4√2.
This equation can be simplified to x² - 6x + y² + 12y + 1 = 0 by expanding and combining like terms. This is the equation of circle , and any point that satisfies this equation will be on the circle. Option 3 and 6 are correct options.
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In an interval notation represent the set of real numbers
Answers
Interval notation is a way of writing the subsets of the real number line.
There are 2 types of brackets used to represent two types of intervals on the number line.
A closed interval is one that includes its endpoints. Closed brackets, [ ], are used to write out the intervals. For example, the interval 0 ≤ x ≤ 3 is represented as:
\(\lbrack0,3\rbrack\)An open interval is one that does not include its endpoints. Open brackets, ( ), are used in this case. For example, the interval 0 < x < 3 is represented as:
\((0,3)\)The interval in the question is given to be:
\((-\infty,-1\rbrack\)This means that the interval contains all real numbers less than or equal to 1:
\(x\le-1\)ANSWER: The answer is "less than or equal to".
PLEASE HELP MEEEEEEEEE
Answers
9514 1404 393
Answer:
A, B
Step-by-step explanation:
The equation is equivalent to ...
cos(x -π/7) = -(√2)/2
x -π/7 = arccos(-(√2)/2) = {3π/4, 5π/4} . . . . . cosine is negative in QII and QIII
x = {3π/4 +π/7, 5π/4 +π/7} +2nπ . . . . . matches A and B
3. The difference between two numbers is 5
Answers
Answer:
The difference of two numbers is 5 and the difference of their reciprocals is 1/10. find the no.s
Step-by-step explanation:
⇒ x(x-5) = 50
⇒ x2 - 5x - 50 = 0
⇒ x2 - 10x + 5x - 50 = 0
⇒ x (x - 10) + 5 (x - 10) = 0
⇒ (x+5) (x-10) = 0
⇒ (x+5) (x-10) = 0
⇒ x = -5 or 10
⇒ x = 10 (x = -5 , rejected)
The following equation involves multiple angles. Solve the equation on the interval [0, 2π). cos 4x= 1/2
Answers
\(\cos(4x)=\cfrac{1}{2}\implies 4x=\cos^{-1}\left( \cfrac{1}{2} \right)\implies 4x= \begin{cases} \frac{\pi }{3}\\\\ \frac{5\pi }{3} \end{cases} \\\\[-0.35em] ~\dotfill\\\\ 4x=\cfrac{\pi }{3}\implies \boxed{x=\cfrac{\pi }{12}}~\hfill 4x=\cfrac{5\pi }{3}\implies \boxed{x=\cfrac{5\pi }{12}}\)
HELP ASAP
Compare the volume of these two shapes, given the radii are the same.
Answers
Answer:
The left cylinder has greater than the right cylinder.
Step-by-step explanation:
Volume of a cylinder is the area of a base times the height.
As the radii are identical, the area of each base is πr²
As the left cylinder has greater height, it also has greater volume.
14. In a pattern that starts with 5, the next
number is 4 less than twice the previous
number. What is the 4th number in the
pattern?
E. 16
F. 8
G. 12
H. 20
Answers
Answer:
the answer would be G.12
Step-by-step explanation:
Together, kamela and Leo have 198 stamps. Kamela’s collection has 62 more stamps Thant Leon’s collection. How many stamps does Leo have?
Answers
What is the square root of 121?
Answers
Answer:
11
Step-by-step explanation:
A square root is any number that is multiplies by itself to get a number.
11*11=121
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Natalie has a choice of a black, blue, or tan skirt to wear with a red, blue, or white sweater. Without calculating the number of possible outcomes, how many more outfits can she create if she adds a yellow sweater to her collection? Explain
Answers
By applying the Principle Of Fundamental Counting, She will get three more outfits in her collection with the yellow sweater.
Principle Of Fundamental Counting : We occasionally wonder how many unique combinations may be created with a range of components. According to the basic counting concept, the number of ways that several events might occur can be calculated by multiplying the number of potential outcomes for each event individually. In other words, if there are 5, 3, and 4 possible outcomes for events A, B, and C, respectively, there are 5*3*4=60 possible combinations of outcomes.
Now, the skirts we have : black, blue, tan
The sweater that we have : red, blue, white and yellow
We have : The number pf outfits that increased = 3*4 - 3*3 = 3
So, She will get three more outfits in her collection with the yellow sweater.
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Leah uses 2 ounces of rice to make 2/3 serving of rice. How many ounces of rice is there per serving?
Answers
Answer: 3
Step-by-step explanation:
I need answers ASAP! No links please! Please explain/show work! Thank you!
Bobby had a party while his parents were away for the weekend. Bobby estimated that if his 9 friends help him to clean the house, they will be able to finish cleaning in 8 hours before his parents return. After two hours of cleaning, Bobby's parents call and say they are just two hours from home. How many more friends does Bobby need to call for help to finish cleaning in time?
Answers
Answer:
4.5
Step-by-step explanation:
1.
(03.03 MC)
A biologist is studying the growth of a particular species of algae. She writes the following equation to show the radius of the algae, f(d), in mm, after d days:
f(d) = 11(1.01)d
Part A: When the biologist concluded her study, the radius of the algae was approximately 11.79 mm. What is a reasonable domain to plot the growth function? (4 points)
Part B: What does the y-intercept of the graph of the function f(d) represent? (2 points)
Part C: What is the average rate of change of the function f(d) from d = 2 to d = 7, and what does it represent? (4 points)
Answers
Answer:
sept one
Step-by-step explanation:
Using the information below, answer the next 3 questions: The percent of fat calories that a person in America consumes each day is normally distributed with a mean of about 36 and a standard deviation of about 10. Suppose that 16 individuals are randomly chosen. For the group of 16, find the probability that the average percent of fat calories consumed is more than thirty-five (Round to 3 decimal places)
Answers
Answer: 0.655
Step-by-step explanation:
Let X be a random variable that represents percent of fat calories that a person in America consumes each day.
As per given , X is normally distributed with a mean \(\mu=36\) and a standard deviation \(\sigma=10\).
Sample size : n= 16
The probability that the average percent of fat calories consumed is more than 35:
\(P(\overline{X}>35)=P(\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}>\dfrac{35-36}{\dfrac{10}{\sqrt{16}}})\\\\=P(Z>\dfrac{-1}{\dfrac{10}{4}})\ \ \ [Z=\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}]\\\\=P(Z>\dfrac{-4}{10})\\\\=P(Z>-0.4)\\\\=P(Z<0.4)\ \ \ [P(Z>-z)=P(Z<z)]\\\\=0.655\ \ \ [\text{By p-value table}]\)
Hence, Required probability =0.655
29.For n ≥ 3, a pattern can be made by overlapping n circles, each of circumference 1 unit, so that each circle passes through a central point and the resulting pattern has order-n rotational symmetry.
For instance, the diagram shows the pattern where n = 7.
If the total length of visible ares is 60 units, what is n?
Answers
The value of n can be determined by finding the number of visible arcs in the pattern, which is 30 in this case.
To determine the value of n, we need to find the relationship between the total length of visible areas and the number of circles (n).
In the given pattern, each circle contributes to the visible area twice: once as its circumference and once as the overlapping part with the adjacent circles. Since the circumference of each circle is 1 unit, the visible area contributed by each circle is 2 units.
Therefore, the total length of visible areas can be expressed as 2n. Given that the total length is 60 units, we can set up the equation:
2n = 60
Solving this equation, we find:
n = 60/2 = 30
Thus, the value of n is 30.
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3. You have a yard that has a width of 5 yd 1 ft and a
length of 30 ft. Find the simplified ratio of the width
to the length:
Answers
Answer:
5:47
Step-by-step explanation:
NO ASSESSMENTS/NO LINKS!!
Write a function g whose graph represents the indicated transformation of the graph of f.
The equation f(x) = x - 5 translated 4 units to the left is g(x) =
Answers
9514 1404 393
Answer:
g(x) = x -1
Step-by-step explanation:
Translation of a function by (right, up) = (h, k) is accomplished by ...
g(x) = f(x -h) +k
Here the translation is 4 units left, so h=-4 and k=0. This means ...
g(x) = f(x +4) = (x+4) -5
g(x) = x -1
can someone help me please?????
Answers
Answer:
Step-by-step explanation:
16 cm
geometry pls helppppp
Answers
A graph of triangle ABC is shown below.
A graph of triangle A'B'C, the image of ΔABC after a translation right 1, down 3 is shown below.
A graph of triangle A"B"C", the image of ΔABC after a dilation of 2 is shown below.
ΔA"B"C" does not represent a rigid motion because the pre-image and the image are not congruent.
How to perform the sequence of transformations?By translating the pre-image triangle ABC vertically down 3 units and horizontally right 1 unit, the coordinates of the image of triangle A'B'C'D' include the following:
(x, y) → (x + 1, y - 3)
Coordinate A = (2, 3) → Coordinate A' = (2 + 1, 3 - 3) = (3, 0)
Coordinate B = (4, 0) → Coordinate B' = (4 + 1, 0 - 3) = (5, -3)
Coordinate C = (5, 4) → Coordinate C' = (5 + 1, 4 - 3) = (6, 1)
By applying a dilation with a scale factor of 2 centered at the origin, we have:
Coordinate A = (2, 3) → Coordinate A" = (4, 6)
Coordinate B = (4, 0) → Coordinate B" = (8, 0)
Coordinate C = (5, 4) → Coordinate C" = (10, 8)
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A function is shown: f(x)= 2/3x+3
What is the value of f(18)?
Answers
Answer:
15
Step-by-step explanation:
When you see something like f (18), this means 18 needs to be plugged in for x
let's plug in 18
f (18) = \(\frac{2}{3} (18) + 3\)
Let's solve
(18 × 2) ÷ 3 = 12
12 + 3 = 15
f (18) = 15
Algebra 1
Adding and Subtracting
Answers
Answer:
2•5
Step-by-step explanation:
substitute (-5x) in x
g(x)=-5x×-5x-(-5x
-5x=25x2+5x
=25x2+5x+5x
=25x2+10x
-25x2=10x
=-25x2/10x
=-2•5x
-x=-2•5
-x/-1=-2•5\-1
x=2•5
what is the volume of a rectangular prism wi the the dimensions base 5/8 cm, height 2/3 cm, and length 3/4 cm?
Answers
Answer:
5/16 cm³Step-by-step explanation:
Given that:
Width (W) = 5/8 cmHeight (H) = 2/3 cmLength (L) = 3/4 cmFind the volume of the cuboid!
Volume equation =
W × H × L =
5/8 × 2/3 × 3/4 =
(5×2×3)/(8×3×4) =
30/96 =
5/16 cm³The volume = 5/16 cubic centimetres
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