Given a function described as the equation y = 4x - 4, what is y when x is 1, 2, and 3?
Answers
Related Questions
√(11 +4 √7)
hi, brainly helper please solve this ASAP. Thank
Answers
Given that: √{11 + 4√(7)}
Let √{11 + 4√(7)} = √(x) + √(y)
Squaring on both sides then
= [√{11 + 4√(7)}]² = {√(x) + √(y)}²
= 11 + 4√(7) = x + y + 2√(xy)
= 11 + 2√(7 * 2²) = x + y + 2√(xy)
= 11 + 2√(7 * 2*2) = x + y + 2√(xy)
= 11 + 2√(7 * 4) = x + y + 2√(xy)
= 11 + 2√(28) = x + y + 2√(xy)
On comparing with both sides, we notice that:
⇛x + y = 11 →→→→Eqn(1)⇛2√(xy) = 2√(28)
⇛ xy = 28
We know that
(x-y)² = (x+y)² - 4xy
(x-y)² = (11)² - 4(28)
(x-y)² = (11*11) - 112
(x-y)² = 121 - 112
(x-y)² = 9
x - y = √(9)
x - y = √(3*3)
Therefore, x - y = 3 →→→→Eqn(2)On adding equation (1) and equation (2), we get
x + y = 11
(+) x - y = 3
_______
2x = 14
Shift the number 2 from LHS to RHS, changing it's sign.
⇛x = 14/2
⇛x = 7/1
Simplify the fraction to get the value of x.
Therefore, x = 7Now, substitute the value of x in equation (1) then
x + y = 11
⇛7 + y = 11
Shift the number 7 from LHS to RHS, changing it's sign.
⇛y = 11 - 7
Therefore, y = 4Now, we have: x = 7 and y = 4
So,
√(x) + √(y) = √(7) + √(4) = √(7) + √(2*2) √(7) + 2
(Or)
Short Method:√{11 + 4√(7)}
= √{11 + 2√(7*4)}
= √{11 + 2√(7)√(4)}
= √[{√(7)²} + {√(4)}² + 2√(7)√(4)
[since, (a+b)² = a² + 2ab + b²]
= √[{√(7) + √(4)}²]
= √(7) + √(4)
= √(7) + √(2*2)
Therefore, √{11 + 4√(7)} = √(7) + 2
Answer: Hence, the simplified form of √{11 + 4√(7)} is √(7) + 2
also read similar questions: Simplify: 3√4 508/1331 I am new in brainly. This is one of my homework assignment maths question.
https://brainly.com/question/26352309?/referrer
Please let me know if you have any other questions.
The solution √(11 +4 √7) is mathematically given as
x=4.64575131
What is the solution to the equation √(11 +4 √7)?Question Parameters:
√(11 +4 √7)
The question requires resolving the above expression and deciphering the solution
Generally, the equation is mathematically given as
x=√(11 +4 √7)
Hence
x=√(11 +4*2.64575131)
In conclusion, The resolution of the expression x=√(11 +4 √7) is
x=4.64575131
Read more about Arithmetic
https://brainly.com/question/22568180
A rectangle has a length of X +5 and a width of X -5 and has an area of 15 square units find the length and width of the rectangle.
Answers
Answer:L=11.3
W=1.3
Step-by-step explanation:
[tex] \\ [/tex]
To find:-Actual length and width of rectangle[tex] \\ [/tex]
Solution:-So to find actual length and width of rectangle, we need to find value of x.
[tex] \\ [/tex]
we know:-
[tex] \bigstar \boxed{ \rm Area~of \: rectangle = length \times width}[/tex]
[tex] \\ [/tex]
So:-
[tex] \\ [/tex]
[tex] \hookrightarrow \sf Area~of \: rectangle = length \times width \\ [/tex]
[tex] \\ [/tex]
[tex] \hookrightarrow \sf 15=(x + 5)(x - 5) \\ [/tex]
[tex] \\ [/tex]
[tex] \hookrightarrow \sf 15=x (x - 5) +5(x - 5)\\ [/tex]
[tex] \\ [/tex]
[tex] \hookrightarrow \sf 15=x^2 - 5x +5(x - 5)\\ [/tex]
[tex] \\ [/tex]
[tex] \hookrightarrow \sf 15=x^2 - 5x +5x - 25\\ [/tex]
[tex] \\ [/tex]
[tex] \hookrightarrow \sf 15=x^2 - \cancel {5x} +\cancel {5x} - 25\\ [/tex]
[tex] \\ [/tex]
[tex] \hookrightarrow \sf 15=x^2 -0 - 25\\ [/tex]
[tex] \\ [/tex]
[tex] \hookrightarrow \sf 15=x^2 - 25\\ [/tex]
[tex] \\ [/tex]
[tex] \hookrightarrow \sf 15 + 25=x^2 \\ [/tex]
[tex] \\ [/tex]
[tex] \hookrightarrow \sf 15 + 25=x^2 \\ [/tex]
[tex] \\ [/tex]
[tex] \hookrightarrow \sf 40=x^2 \\ [/tex]
[tex] \\ [/tex]
[tex] \hookrightarrow \sf x^2 = 40\\ [/tex]
[tex] \\ [/tex]
[tex] \hookrightarrow \sf x = \sqrt{40}\\ [/tex]
[tex] \\ [/tex]
[tex] \hookrightarrow \sf x = \sqrt{2 \times 2 \times 10}\\ [/tex]
[tex] \\ [/tex]
[tex] \hookrightarrow \sf x = 2 \sqrt{10}\\ [/tex]
[tex] \\ [/tex]
[tex] \hookrightarrow \sf x = 2 \times 3.16\\ [/tex]
[tex] \\ [/tex]
[tex] \hookrightarrow \sf x = 2 \times 3.16\\ [/tex]
[tex] \\ [/tex]
[tex] \hookrightarrow \bf x = 6.32(approx)\\ [/tex]
[tex] \\ [/tex]
Length = x + 5Length = 6.32 + 5Length = 11.32 (units)[tex] \\ [/tex]
Breadth = x - 5Breadth = 6.32 - 5Breadth = 1.32 (units)help please! also, explain! thank youuuuuu so much 6th grade math.
Answers
I think this is the answer
Is a perpendicular bisector the same thing as a median
Answers
Answer:
A Line which passes through the mid-point of a segment and is perpendicular on the segment is called the perpendicular bisector of the segment.
Segment joining a vertex to the mid-point of opposite side is called a median.
Step-by-step explanation:
Find the surface area of this shape.
Answers
Answer:
54 yds²
Step-by-step explanation:
Area of 1 side: 3*3=9
Number of sides: 6
6*9=54
Answer:
54 square yards
Step-by-step explanation:
This is a cube, as the width, height, and length are all the same. To fine the surface area of a cube, simply find the area of one side and multiply it by six, as a cube has six sides.
[tex]Area = Width*Height\\Area = 3 * 3\\Area = 9[/tex]
The area of one side of the cube is 9 square yards. Therefore, the surface area of the entire cube is 6 x 9 or 54 square yards.
help please urgent !!!!! will mark brainliest
Answers
Answer:
1. not congruent
2. sss congruent
3.not congruent
5.asa
6.sas
The company makes a single serving cereal box that contains 1.2 ounces of cereal. They plan to make an extra large box for school cafeterias. The extra large box will be a dilation of the single serving box using a scale factor of 4. How many ounces of cereal will the extra large box contain? Explain or show your reasoning.
I need help showing how this is done? Formula?
Answers
Answer:
76.8 ouncesStep-by-step explanation:
Solve for the exact value of x.
5ln(8x+10)-16=19
Answers
Answer:
x=135.8291448
Step-by-step explanation:
Please help I am confused
Answers
Answer:
Step-by-step explanation:
in similar triangles
[tex]\frac{a}{c+d} =\frac{c}{a} =\frac{e}{d} \\[/tex]
taking first two
c(c+d)=a²
Choose a different point that lies directly on the graph of the line...
Answers
Answer:
Step-by-step explanation:
You got it right: the point (0, -1) is another point on the graph of y = 3x - 1.
Substituting 0 and -1 back into the equation, y = 3x - 1:
-1 = 3(0) - 1
So the pint is also a solution to the equation.
Which table shows a proportional relationship between x and y?
4
7
8
10
O
2
3.5
4
y
5
2
х
4
7
8
O
6
у
10
21
24
х
1
2
4
3
o
00
6
8
10
12
y
40
50
60
X
90
O
8
10
14
y
18
Answers
Answer: A
Step-by-step explanation:
Each y value is half of the x value.
It takes Michelle 25 minutes to descend 850 feet of the beginner slope at Mount Washington. Find her rate of descent (slope). If Michelle begins her descent at a height of 1200 feet, find a linear equation to describe her skiing motion.
Answers
Answer:
h = 1200 - 34t
Step-by-step explanation:
25 minutes, descend 850 feet, so each minute, descend 850/25 = 34 feet
after t minutes, descend 34*t feet,
starting at 1200 feet, so the height is h = 1200 - 34t
A box of Bleu cheese was received at 8 a.m. It sat on the dock until 9 a.m., when it was placed in a refrigerator. At 11 a.m., a foodhandler removed the cheese from the refrigerator and placed it on the counter, where it sat until 2 p.m., when it was returned to the refrigerator. It was removed later at 6 p.m., where it sat on the counter again until 10 p.m. When did the cheese become unsafe?
Answers
Answer:
At 2pm
Step-by-step explanation:
A shop owner gave a 25% discount off the regular price of a table. The amount of the discount is $5.
What was the regular price of the mirror? (before discount)
Answers
Answer:
$20
Step-by-step explanation:
let the regular price of the mirror be 'x'
x*25/100=5
25x/100=5
cross multiply
25x=500
divide both sides by 25
x=$20
Match the graph with the correct set of equations for the linear system. Then, classify the system as Consistent and Dependent, Consistent and Independent, or Inconsistent. (You should have two answers selected)
Answers
Answer:
Consistent independent
x + y = 0 and -x + y = -8
Step-by-step explanation:
Inconsistent: parallel lines, no solutions
Consistent dependent: same line, infinite solutions
Consistent independent: intersects at one point, one solution
Therefore, the pair of lines are Consistent independent
From inspection of the diagram:
One line has a negative slope and the other a positive slope.
One has a y-intercept of 0 and the other a y-intercept of -8.
Therefore, the solution is x + y = 0 and -x + y = -8
Because:
x + y = 0 ⇒ y = -x (neg slope, y-intercept of 0)
-x + y = -8 ⇒ y = x - 8 (pos slope, y-interecept at -8)
what is the slope intercept for this line?
Answers
Answer:
-3
Step-by-step explanation:
go DOWN 3 and side 1 so -3/1 or -3
Is 12 x 2-5/6 greater than, less than or equal to
Answers
Answer: 5/6 will be greater than 5/8.
Step-by-step explanation:
What is -4 x 3, 3 x -4, and 5 x -4
Answers
Answer:
Each answer is negative
Each equation has a four within it, either negative or positive
Step-by-step explanation:
-4x3=-12
3x-4=-12
5x-4=-20
If you spin the spinner 3 times
how many times are you likely to
land on blue?
Answers
how do I do 6 and 6/7 plus 2 and 3/14
Answers
Let me clarify for 6 6/7, you multiply the 7 and 6 to get 42, then the 6 the is above the 7 is added onto 42 to give us 42, we carry our denominator of seven over and get [48/7,]
Then we do 2 3/14, multiply 2 by 14 and add 3, the carry over the denominator of 14, giving us [31/14]
Finally, we multiply 48/7 by 2/2 to give us 96/14 and add that to 31/14, this gives us 127/14 which can be converted into mixed numbers by finding the whole number of times that 14 goes into 127, which is 9, the remainder is 1 so you keep that on the numerator and you get 9 and 1/14
What are the 4 items needed to create a graph
and define them
Answers
Answer:
a paper a pencil a a person to drawl the lie
I need help solving this please
Trigonometry
Answers
Answer:
11. x = 32.6°
12. x = 27.0
Step-by-step explanation:
Question 11
[tex]\sin(\theta)=\dfrac{\textsf{opposite side}}{\textsf{hypotenuse}}[/tex]
Given:
[tex]\theta[/tex] = xside opposite angle = 7hypotenuse = 13[tex]\implies \sin(x)=\dfrac{7}{13}[/tex]
[tex]\implies x=\sin^{-1}\left(\dfrac{7}{13}\right)[/tex]
[tex]\implies x=32.6\textdegree \textsf{ (nearest tenth)}[/tex]
Question 12
[tex]\sin(\theta)=\dfrac{\textsf{opposite side}}{\textsf{hypotenuse}}[/tex]
Given:
[tex]\theta[/tex] = 64°side opposite the angle = xhypotenuse = 30[tex]\implies \sin(64\textdegree)=\dfrac{x}{30}[/tex]
[tex]\implies x=30\sin(64\textdegree)[/tex]
[tex]\implies x=27.0\textsf{ (nearest tenth)}[/tex]
please i neeeeeeeed help
Answers
The value of m, as a fraction in the given proportion is: 2/5.
What is Proportion?A proportion can be defined as an equation of two ratios that are equal to each other.
Given:
1/2 / 3/5 = 1/3 / m
Cross multiply
1/2 × m = 1/3 × 3/5
m/2 = 1/5
Cross multiply
5m = 2
m = 2/5
Therefore, the value of m, as a fraction in the given proportion is: 2/5.
Learn more about proportion on:
https://brainly.com/question/19994681
Which equation best describes the law of conservation of momentum?
O pi=PF
Op;>P
Op;
Answers
Answer:
Pi=Pf
Step-by-step explanation:
that's the equation for the law
Answer:
pi = pf
Explanation:
The law of conservation of momentum states that in any isolated system (=no external forces acting on it), the total momentum is conserved. This is also valid, for example, for a system consisting of many particles colliding with each other: during each collision between two particles, the total momentum of the two particles is always conserved, even if the momentum of each particle
MARK AS BRAINLYEST
What is the slope??? Please show step by step!!
Answers
Answer:
In order to find the slope, we would need to format the coordinates like rise over run (y/x)
We find two points, (-6, 12) and (-5, 14)
Now we subtract the y coordinates from each other and do the same for the x coordinates
14 and 12 are our y coordinates so that will be our rise
-5 and -6 are x coordinates so that will be our run
14 - 12 2
_______ = ______
-5 - (-6) 1
2 is the slope
Need help really please
Answers
Answer:
She will have 7 extra bags.
Step-by-step explanation:
[13(7+6)]/9
(13 * 13)/9
169/9
18.8
9 * 18 = 162
169 - 162 = 7
She will have 7 extra bags.
Question 1
a) A racing car drives in a distance of 60km for 120 minutes on average ,how long will it take the same car to travel a distance of 12km ?
(show all your working)
b) Simplify using estimations
5.6 + 1.2(3)
c) 3 sisters Mpho(16), Mphonyane(24) and Mphononyane(32) share R1980 according to their ages.How much will Mphonyane receive ?
(show all your working)
please help!
Answers
Answer:
a. 60km/2hours =30km per hour. 12/30=0.4 hours. 24 minutes
Step-by-step explanation:
TRUE OR FALSE??
2 Parallel lines A and B are cut
by transversal X as shown
below.
A.The value of x = 24
_____
B.The marked angles are congruent angles
_____
C.The marked angles are classified as
corresponding
angles.
_____
REWRITE THE FALSE STATEMENT TO MAKE IT TRUE
Answers
Answer:
Step-by-step explanation:
A. 3x+21=6x-60 -> 3x=81 -> x=27. So false. The value of x=27.
B. True. Alternate interior angles theorem.
C. False. The marked angles are alternate interior angles.
Help with the answer please
Answers
Answer:
A is the answer
Step-by-step explanation:
I hope it helps sorry kung mali
josh sells 5 cycles in 2 days. after 20 days, how many cycles should be sold?
Answers
Answer:
50 cycles
Step-by-step explanation:
To find this out, we need to know how many cycles he sells a day. So as given he sells 5 cycles in 2 days, so what is half of five? While 2.5 cycles wouldn't make sense, lets use the variable to see what our answer would be approximately.
2.5 cycles x 20 days = 50 cycles.
So, in 20 days Josh would sell 50 cycles.
Answer:
50 cycles will be sold in 20 days
Step-by-step explanation:
2 days⇒5 cycles
1 day⇒5 divided by 2 days
20 days⇒5 cycles multiplied by 20 days divided by 2 days then the final answer is 50 cycles.
