The difference between each x and y is 3:
4-3 = 1
5-3 = 2
6-3 = 3
The equation would be y = x -3
find the area of a figure with 4cm 3 cm and 10 cm
2x+1/2x=1, (16x^4)+(1/16x^4)=??
The value of the given expression will be -1.
What is an expression?
Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition,substraction, multiplication and division.
We have the following expression:-
\(2x+\dfrac{1}{2x}=1\)
We need to find the value of
\(16x^4+\dfrac{1}{16x^4}=?\)
So by using the given expression:-
\(2x+\dfrac{1}{2x}=1\)
By applying the formula
( a + b )² = a² + b² + 2ab
So the solution will be:-
\(2x+\dfrac{1}{2x}=1\\\\\\(2x+\dfrac{1}{2x})^2 = 1^2\\\\\\4x^2+\dfrac{1}{4x^2}+2=1\\\\\\4x^2+\dfrac{1}{4x^2}=-1\\\\\\\)
Again applying the formula:-
\((4x^2+\dfrac{1}{4x^2})^2=(-1)^2\\\\\\16x^4+\dfrac{1}{16x^4}+2=1\\\\\\16x^4+\dfrac{1}{16x^4}=-1\)
Hence the value of the given expression will be -1
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Solveby factoring :
p2 + 8p + 12 = 0
(show steps please)
Answer:
(p + 6)(p + 2)
Step-by-step explanation:
I believe you meant p^2 + 8p + 12 = 0, in which " ^ " indicates exponentiation.
Note that 12 = 2*6, and that these two factors, 2 and 6, add up to 8. Thus,
p^2 + 8p + 12 = 0 = (p + 6)(p + 2)
About how many times greater was change in price per gallon in 2007 than 2000? Show your work or explain how u determind your answer.
The required, in 2007 the price per gallon was 7b more than the price of a gallon of fuel in the year 2000. Where b is the inflation factor.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Let 'a' be the cost per gallon of fuel in the year 2000, and 'b' be the inflation rate per year. If the rate of inflation is constant then
After 7 year inflation = 7b
Cost of fuel in 2007 = a + 7b
Now,
according to the question
Change in cost of fuel
= cost in 2007 - cost in 2000
= a + 7b - a
= 7b
Thus, the required, in 2007 the price per gallon was 7b more than the price of a gallon of fuel in the year 2000. Where b is the inflation factor.
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Chapter 1 (Vago & Barkan)Study/Discussion Questions:1) Select and recount TWO different definitions of law from Chapter 1. What do you consider the strengths of each definition? What do you consider the weaknesses of each definition?2) Which type(s) of law apply to each of the following? Justify each of your answers.A. Right to voteB. DivorceC. Suing your neighbor, Tony, because his dog keeps pooping in your yardD. Stealing someone else’s carE. Rules about how police officers write up reports about their time on shift3) Why do you think it is useful to know something about the four different major types of legal systems? What, if anything, surprised you about any single type of major legal system (give a specific example)? Why did it surprise you? What impacts do you think that feature of a legal system has on society? On individual people?4) Review the THREE major functions of law. Then, classify each of the following social patterns according to which function(s) you think best explains why the law exists. Be prepared to justify your answer.A. criminal charges against Burger Awesome (a fast food chain) for undercooking their burgersB. civil suit against Pills R Us (pharmaceutical company) for false advertising that includes failure to disclose side effectsC. case law that upholds right to marry for two consenting adults of any sex/gender or sexual categorizationD. a fine if caught in a public space without clothing, without a mask5) Can you identify a real world example of any one of the dysfunctions of law that are described in Chapter 1? Describe the legal example and explain why it illustrates that particular dysfunction of law.
convert 0.(3) to percent.
Answer:
If .(3) means it is repeating then if you round .333333333 you would get .33 which is equal to 33%. Just a guess.
My answer above is wrong. But according to Vialia the right answer is 33.33% for anyone who needs the answer.
Dessa, Anne, and Dy bought materials for their project worth
₱276.45. The girls divided the amount equally among themselves.
How much is each share?
Answer:
Step-by-step explanation:
=276.45/3
=92.15
each share is for 92.15
i need help with solving this!
Answer:
Below
Step-by-step explanation:
Since y = 3x-4 SUBSTITUTE this for 'y' in the second equation to get
3x-4 = -4x+10 now solve for x ====> add 4x to both sides
7x -4 = 10 add 4 to both sides of the equation
7x = 14
x = 2 <======now use this value of 'x' in either of the original equations to calculate 'y'
y = -4x + 10
y - -4(2) + 10 = 2
Complete the table of values. Please help!
Answer:
Step-by-step explanation:
Where we have "x" must replace for the number shown on table
We have for "x" tha numbers: 0; 1; 2; 3; 4 and 5
Equation:
1.y = x+4
y = x + 4
For x = 0
y = x + 4
y = 0 + 4
y = 4
For x = 1
y = x + 4
y = 1 + 4
y = 5
For x = 2
y = x + 4
y = 2 + 4
y = 6
For x = 3
y = x + 4
y = 3 + 4
y = 7
For x = 4
y = x + 4
y = 4 + 4
y = 8
For x = 5
y = x + 4
y = 5 + 4
y = 9
So:
x y
0 4
1 5
2 6
3 7
4 8
5 9
I hope help you.
please answer homework please answer all 3
Answer:
Question 1: 4 x 11
Question 2: x = 7
Question 3: 32x
Step-by-step explanation:
A car travels 2 3/4 miles in 4 1/2 minutes. How many miles does the car travel in 1 minute?
There are 11/18 miles does the car travel in 1 minute.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
A car travels 2 3/4 miles in 4 1/2 minutes.
Now,
Since, A car travels 2 3/4 miles in 4 1/2 minutes.
Hence, The distance cover by car in 1 minute = 2 3/4 ÷ 4 1/2
= 11/4 ÷ 9/2
= 11/4 × 2/9
= 11/18 miles
Thus, The car travel 11/18 miles in 1 minute.
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Given the function f(x)=2x²+3, what is the average rate of change of f on the interval [2,2+h]?
Answer:
5.2
Step-by-step explanation:
Write an equation in slope-intercept form for the line with slope -2/3
and y-intercept -4.
Step-by-step explanation:
Given
slope (m) = - 2/ 3
Y-intercept (c) = - 4
Now writing in Slope intercept form
y = mx + c
y =( - 2/3) x - 4
Hope it will help :)
hi please help me with number one:)
Answer:
(0,-1); (0,-2); (2,0); (2,-2)
Step-by-step explanation:
when rotating 180 degrees all the points have their coordinate sign's flipped.
so the points go from:
(0,1) --> (0,-1)
(0,2) --> (0,-2)
(-2,0) --> (2,0)
(-2,2) --> (2,-2)
so your new shape will have the points (0,-1); (0,-2); (2,0); (2,-2)
What is the surface area of the cylinder with height 2 km and radius 7 km? Round your answer to the nearest thousandth.
Answer:
395.84km²
Step-by-step explanation:
The number of hours of sunshine in Barbados for successive days during a and 11.8. Find the daily certain week were 11.1, 11.9, 11.2, 12.0, 11.7, 12.9 average. The following week the daily average was 11 hours. How many more hours of sunshine were there the first week than the second?
Answer:
5.6
Step-by-step explanation:
11*7=77
11.8*7= 82.6
82.6-77=5.6
Is 3.1141141114 rational or irrational?
Which equation has a solution of x = 15?
A. X + 7 = 12
B. 15 + x = 10
C. 13 + x = 38
D. x + 24 = 39
Hey there!
Let's solve all these equations.
The first equation:
x+7=12
subtract 7 from both sides:
x=5
not 15 ;)
The second equation:
15+x=10
subtract 15 from both sides:
x=-5
not 15 ;)
13+x=38
subtract 13 from both sides:
x=38-13
x=25
not 15 ;)
let's try the last option (it has to work)
x+24=39
subtract 24 from both sides:
x=15
Yep!
Hence,
\(\boxed{\boxed{\bold{Option~D~is~correct.}}}\)
Hope everything is clear.
Let me know if you have any questions!
#LearningDoesn'tEnd
:-)
find the points
that go in
between (-4,7)
and (6,5)
A linear function has the same y-intercept as x + 4y = 8 and its graph contains the point (5,3). Find the slope of the linear function. Write the slope in fraction form.
Answer:
x - 5y = - 10
Step-by-step explanation:
y = mx + b (b is y-intercept)
m = \(\frac{y_{2} -y_{1} }{x_{2} -x_{1} }\)
~~~~~~~~~~~~
x + 4y = 8 ⇔ y = \(-\frac{1}{4}\) x + 2 ⇒ y-intercept is 2 and coordinates of y-intercept are (0, 2)
(5, 3)
m = \(\frac{3-2}{5-0}\) = \(\frac{1}{5}\)
y = \(\frac{1}{5}\) x + 2 (slope-intercept form)
x - 5y = - 10 (standard form)
Match each sequence with the position of its first term that is out of increasing order.
1. 1 5 78 99 101 202 400
2. 5 2 7 90 85 80 72
3. 5 6 9 10 14 21 20
4. 3 7 10 9 8 14 17
5. 5 77 25 45 22 94 58 99
In summary: Sequence 1 has no term out of increasing order. Sequence 2 has the first term out of increasing order at position 2. Sequence 3 has the first term out of increasing order at position 7. Sequence 4 has the first term out of increasing order at position 4. Sequence 5 has the first term out of increasing order at position 3.
1 5 78 99 101 202 400: This sequence is in increasing order throughout, so there is no term that breaks the increasing pattern.
5 2 7 90 85 80 72: The sequence starts with 5, then decreases to 2 (out of increasing order) at position 2.
5 6 9 10 14 21 20: The sequence is increasing until position 6, where it reaches 21. However, the next term, 20, is lower than the previous term, 21 (out of increasing order) at position 7.
3 7 10 9 8 14 17: The sequence starts with 3 and increases until position 3 (10). However, at position 4, the next term, 9, is lower than the previous term, 10 (out of increasing order).
5 77 25 45 22 94 58 99: The sequence is increasing until position 2, where it reaches 77. However, at position 3, the next term, 25, is lower than the previous term, 77 (out of increasing order).
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PLEASE PLEASE PLEASE IM BEGGING U HELP ME ITS DUE SOON THERES 50 QUESTIONS HELP ME NOW PLS
Answer:
A.{x|x<0.5 or x>3.5}
Step-by-step explanation:
Hope it Helps.What is an equation of the line that passes through the points (-3, 8) and (4, 1)?
Answer:
y=mx+c
m=(8-1)÷(-3-4)
=7÷-7
=-7
8=-7(-3)+c
8=21+c
c=-13
y=-7x+c
i hope it is correct :)
pls help need to turn this in
Answer: y - 3 = -2(x + 2)
A baseball league is holding registration for both a men's league and a women's league. Only a total of 400 players can register, and each team consists of exactly 10 players. If 24 women's teams have already registered, which inequality could be used to find m, the number of men's teams that can register?
A.
24(10) + 10m < 400
B.
24(10) + 10m > 400
C.
24(10 + 10m) > 400
D.
24(10 + 10m) < 400
I need helppppppp^^^^
Answer:
12=2.5h+4
Step-by-step explanation:
graph one is linear so incorrect prolly but help ty ty
The function given is:
\(f(x)=x^3+3\)It is required to find the graph of f(5x).
Recall that the graph of f(kx) for k>1 is the horizontal compression or shrink of the graph of f(x) by k units. The graph is compressed horizontally towards the y-axis.
Graph the given function f(x)=x³+3:
Compress the graph horizontally by k=5 units as shown below:
The required graph is:
The graph that best fits this is graph 4.
The answer is gra
A provision that ensures performance fees are not earned until the value of a fund exceeds its previous highest level is referred to as which one of the following?
high-water mark
A provision that ensures performance fees are not earned until the value of a fund exceeds its previous highest level is referred to as High-water mark
A high-water mark is the highest peak in value that an investment fund or account has reached. This term is often used in the context of fund manager compensation, which is performance-based.
The high-water mark ensures the manager does not get paid large sums for poor performance. If the manager loses money over a period, he must get the fund above the high-water mark before receiving a performance bonus
With a high-water mark, the investor pays a fee that only covers the amount the fund earned between the point of entry and its highest level.
The high-water mark prevents this "double fee" from occurring.
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a certain forest covers an area of . suppose that each year this area decreases by . what will the area be after years? use the calculator provided and round your answer to the nearest square kilometer.
The area after 15 years is 517.40km²
What is an area?It is the quantity that expresses the content of the region on the plane or on a curved surface. Area is the size of the surface that can be calculated. It is the amount of space occupied by a two-dimensional figure. It is the quantity that measures the unit of squares. We get the area of the rectangle by multiplying length and width. The area of the figure is counted by the area of unit squares. It determines the area of the number of common shapes, including rectangle, trapezoid, circle, sector, ellipse etc.
y = A(1 - r)t
where,
A = initial area
r = rate
y = 1600(1 - 0.0725)
y = 1600\((0.9275)^{t}\)
here we put t=15, then we get
y=1600\((0.9275)^{15}\)
y=517.40 km²
Therefore, the area after 15 years is 517.40km²
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Tomas factored the polynomial completely. What is true about his final product? 3x4−18x3 9x2−54x Ax(x2 B)(x C) A and B are both 6. A and B are both 3. B and C are both positive. B and C are both negative.
Factor of Tomas' polynomial should give original polynomial when multiplied. In factored polynomial The value of A and B are both 3.
How to find the factors of polynomial?
Factors of the polynomial which are multiplied to produce the original polynomial. The polynomial which can not be factored is known as prime polynomial.
The standard form of the polynomial with highest power of 2 can be given as,
Given information-
The polynomial solved by the Tomas is,
\(3x^4-18x^3+ 9x^2-54x\)
Here the highest power of given polynomial is 4.
The final product of the Tomas factored polynomial is,
\(Ax(x^2 +B)(x +C)\)
Let the above equation is equation 1.
To convert the given polynomial into the above form, first simplify the it as,
\(3x(x^3-6x^2+3x-18)\\3x[x^2(x-6)+3(x-6)]\\3x(x^2+3)(x-6)\)
Compare it with the equation, we get,
\(A=3\\B=3\\C=-6\)
Hence, the value of A and B are both 3.
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Answer:
A and B are both 3.
Step-by-step explanation:
I just took the quiz.
Have the day you deserve :)