Answers
Answer:
If you want to solve for x, then it is x=3+y
If you want to solve for y, then it is y=x-3
Step-by-step explanation:
You want to isolate the variable you are solving for. If you are solving for x, you don't have to isolate it because it is already on its own side. You only have to divide by 3 to take away the 3 from the x but make sure do whatever you do on one side to the other side to make sure its still equal. After you divide 3 on both sides, you end with x=3+y.
Related Questions
Integrate the integral:
[tex]\int \frac{1}{\sqrt{x} \sqrt{1-x} }[/tex]
Answers
Answer:
[tex]\displaystyle \int {\frac{1}{\sqrt{x} \sqrt{1-x} } } \, dx = 2arcsin(\sqrt{x}) + C[/tex]
General Formulas and Concepts:
Calculus
U-SubstitutionIntegration Property: [tex]\int {cf(x)} \, dx = c\int {f(x)} \, dx[/tex]Arctrig Integration: [tex]\displaystyle \int\limits {\frac{1}{\sqrt{a^2-u^2} } } \, du = arcsin(\frac{u}{a} ) + C[/tex]Step-by-step explanation:
Step 1: Define
[tex]\displaystyle \int\limits {\frac{1}{\sqrt{x} \sqrt{1-x} } } \, dx[/tex]
Step 2: Identify
Set up variables for u-substitution and integral trig.
[tex]\displaystyleu = \sqrt{x}\\a = 1\\du = \frac{1}{2\sqrt{x}}dx[/tex]
Step 3: integrate
Rewrite Integral: [tex]\displaystyle 2\int {\frac{1}{2\sqrt{x} \sqrt{1-x} } } \, dx[/tex][Integral] U-Substitution: [tex]\displaystyle 2\int {\frac{du}{\sqrt{1^2-(\sqrt{x})^2 } }[/tex][Integral] U-Sub Arctrig: [tex]\displaystyle 2\int {\frac{du}{\sqrt{1^2-u^2 } }[/tex][Integral] Arctrig: [tex]\displaystyle 2arcsin(\frac{u}{1}) + C[/tex]Simplify: [tex]\displaystyle 2arcsin(u) + C[/tex]Back-substitute: [tex]\displaystyle 2arcsin(\sqrt{x} ) + C[/tex]We are given the expression:
[tex]\int\limits {\frac{1}{\sqrt[]{x} }*\frac{1}{\sqrt[]{ 1-x^{2}}} } \, dx[/tex]
U-substitution:
let u = [tex]x^{1/2}[/tex] [So, x = u²]
[tex]\frac{du}{dx} = \frac{1}{2\sqrt[]{x}}[/tex] [differentiating both sides wrt x]
dx = du*2√(x)
dx = 2u(du) [Since u = √x]
Finding the Integral:
Plugging these values in the given expression:
[tex]\int\limits {u^{-1}*(1-u^{2})^{-1/2} } \, 2\sqrt[]{x}*du[/tex]
[tex]\int\limits {\frac{1}{u}*\frac{1}{\sqrt[]{ 1-u^{2}}}*2u } \, du[/tex]
The 'u' in the numerator and denominator will cancel out
[tex]\int\limits {\frac{1}{\sqrt[]{ 1-u^{2}}}*2 } \, du[/tex]
Since 2 is a constant
[tex]2\int\limits {\frac{1}{\sqrt[]{ 1-u^{2}}} } \, du[/tex]
Using the property: [tex]\int\limits {\frac{1}{\sqrt[]{1-x^{2}} }} \, dx[/tex] = ArcSin(x) + C
2*ArcSin(u) + C
Since u = √x :
2*ArcSin(√x) + C
Select from the drop-down menus to correctly complete each statement An arithmetic sequence represents a _____ function because it has a constant rate of change. As the sequence progresses, each value an in the sequence increases or decreases by a specific amount For example, the arithmetic sequence 9, 13, 17, 21, represents a ______ function because as n increases by 1, each value an increases by _____ Therefore, this arithmetic sequence ______a function
1st line :linear or nonlinear
2nd line:linear or nonlinear
3rd line: 1 , 4 or different amounts
4th line:represents or does not represent
Answers
Answer:
1st line: linear
2nd line: linear
3rd line: 4
4th line: represents
Step-by-step explanation:
Arithmetic sequences increase by the same number each time. This means they are linear, as linear functions also increase by the same number each time.
So, the first and second lines have the answer of linear.
In the arithmetic sequence given, 4 is added to the previous number as it progresses. This represents a function.
So, the third line has the answer of 4, and the fourth line has the answer or represents.
Using arithmetic sequence concepts, it is found that the lines are:
1st: linear.2nd: linear.3rd: 4.4th: representsWhat is an arithmetic sequence?In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.
The nth term of the sequence is given by:
[tex]a_{n+1} = a_1 + (n-1)d[/tex]
Hence, an arithmetic sequence is also a linear function with rate of change d.
In this problem:
The sequence is: 9, 13, 17, 21.The rate of change is of 4, as when n increases by 1, each value increases by 4.Hence, the lines are completed by:
1st: linear.2nd: linear.3rd: 4.4th: representsYou can learn more about arithmetic sequence concepts at https://brainly.com/question/25433204
1.) Multiply 2ab(−a+2b+3).(1 point)
8a2b2
−2a +2ab+3b
8ab
−2a2b+4ab2+6ab
2.) Simplify the polynomial using multiplication.
xy(3x2+2x−3y)
(1 point)
3x3y+2x2y−3xy2
3x3+2xy−3y
2x3y2
3x3+2x2−3y2
The area of a rectangle is given by the expression (x+3)(4x−2). Which of the following is an equivalent expression for the area?(1 point)
13x−2
4x2+14x+6
4x2+10x−6
14x−6
Multiply (x+2)(x2−3x +4)(1 point)
x3+5x2+10x+8
x3−x2−2x+8
x2−2x+6
2x2−6x+8
Simplify the polynomial using multiplication.
−5b(2a−3a2)
(1 point)
−10ba+15ba2
10ba−15ba2
−10a+3ba2
−5b+2a−3a2
Answers
Answer:
(x+3)(4x−2) = 4x2+10x−6
(x+2)(x2−3x +4) = x3−x2−2x+8
Step-by-step explanation:
help me plz
Follow right steps
Answers
Here is the answer:
75 - 40 = t
Brainliest pls
Answer:
75=T+40
35
Step-by-step explanation:
75=T+40 subtract 40 from both sides and we get 35
This is an absolute value problem with LETTERS?! Absolute madness (no pun intended)
Answers
Answer:
a
Step-by-step explanation:
sjejeneissbebdejjesj
What is the opposite of -|-32|
Answers
Factor using the GCF method
8r3 + 16r2
Answers
Answer:
8r^2(r + 2)
Step-by-step explanation:
Factor 8r^3 + 16r^2
= 8r^2(r + 2)
Answer:
56 r
Step-by-step explanation:
8r x 3 + 16 r x 2
24 r + 32 r
56 r
Airline fares for a flight from Dallas to Austin are $30 for first class and $25 for tourist class. If a flight had 52 passengers who paid $1360, how many first class and tourist class passengers were there?
Answers
There were 40 tourist class passengers and 12 first class passengers.
Explanation:
Let the number of passengers who booked for tourist class be
=
x
Then, number of passengers who booked for first class
=
52
−
x
According to question,
Total money paid = $25(tourist class)+$30(first class)
$
1360
=
$
25
(
x
)
+
$
30
(
52
−
x
)
1360
=
25
x
+
1560
−
30
x
1360
−
1560
=
25
x
−
30
x
−
200
=
−
5
x
x
=
−
200
−
5
x
=
40
So, there were 40 tourist class passengers.
Now first class passengers
=
52
−
x
=
52
−
40
=
12
∴
There were 40 tourist class passengers and 12 first class passengers.
As a check
Total money paid = $25(tourist class)+$30(first class)
R
H
S
=
$
25
(
40
)
+
$
30
(
12
)
$
1000
+
$
360
=
$
1360
L
H
S
=
$
1360
Hence verified.
I'm not quite sure how to solve this problem. Note I do understand the problem if it was like this 7π/4 because you would do 7/4 times 180 which would be 315. But now since there is not an number in from of π/-12 i'm confused.
Answers
Answer:
the answer is -90degrees
Step-by-step explanation:
DO substitite 180 for pie and do -180/2 and get -90 degrees
A bottle contains 15 marbles: 9 are white and 6 are green. What is the
probability of picking a white?
Answers
Answer: 3/5
Step-by-step explanation:
Fist find out how many whites are there and divide it by the total to find the probability.
9/15 simplify it to 3/5
2(x + 5) = -10x + 34
Answers
Answer: X = 2
Step-by-step explanation: calculator
Pls help my teacher sucks
What is the volume of this figure? Round to the nearest hundredth.
Answers
Answer:
I believe the volume is 80 cubic centimeters.
Step-by-step explanation:
V = volume
B = base
H = height
V = BH
V = (4) 20
V = 80
Since your base is a circle, you use A=pi x radius squared to get the area of the base.
I’m using 3.14 for pi.
A of base= (3.14)(2)(2)= 12.56
Now multiply 12.56 by height (20)
Volume is 251.2 cm cubed.
Find the product. Your answer must be in simplest form.
7/8 of 56
Answers
Answer:
You probably know that the number above the fraction line is called the numerator and the number below it is called the denominator. To work out the fraction of any number, we first need to convert that whole number into a fraction as well.
Here's a little tip for you. Any number can be converted to fraction if you use 1 as the denominator:
56
1
So now that we've converted 56 into a fraction, to work out the answer, we put the fraction 7/8 side by side with our new fraction, 56/1 so that we can multiply those two fractions.
That's right, all you need to do is convert the whole number to a fraction and then multiply the numerators and denominators. Let's take a look:
7 x 56
8 x 1
=
392
8
In this case, our new fraction can actually be simplified down further. To do that, we need to find the greatest common factor of both numbers.
You can use our handy GCF calculator to work this out yourself if you want to. We already did that, and the GCF of 392 and 8 is 8.
We can now divide both the new numerator and the denominator by 8 to simplify this fraction down to its lowest terms.
392/8 = 49
8/8 = 1
When we put that together, we can see that our complete answer is:
49
1
The complete and simplified answer to the question what is 7/8 of 56 is:
49
Hopefully this tutorial has helped you to understand how to find the fraction of any whole number. You can now go give it a go with more numbers to practice your newfound fraction skills.
Step-by-step explanation:
Answer:
forty nine
Step-by-step explanation:
convert 56 into a fraction (56/1) then multiply 7/8 × 56/1. it equals out to 392/8. then find the GCF of 392 and 8, which is 8. now divide boht the new numerator and denominator by 9 to simplify it to lowest terms. 49 is the answer
Look/read the picture please!
Answers
From reading the word problem, we learn that the difference between their holes they dig is 6 inches. So just find each expression that is equal to 6.
Find the area of the shape below.
11 cm
14 cm
9 cm
20 cm
Answers
Answer: A = 235 cm²
Step-by-step explanation: The figure has not a regular shape, but we can divide it to other figures that are easier to calculate the area.
For example, we can divide this figure in 2:
1) A square of side 9;
2) A rectangle of sides 14 and 11;
The image below represents what it is described.
Area of quadrilateral is calculated as A = length x width
Since both rectangle and square are quadrilateral, area of each will be
[tex]A_{square}[/tex] = 9.9
[tex]A_{square}[/tex] = 81
[tex]A_{rectangle}[/tex] = 11.14
[tex]A_{rectangle}[/tex] = 154
The area of the shape is the sum of each part we calculated:
[tex]A_{total}[/tex] = 154 + 81
[tex]A_{total}[/tex] = 235
The area of the shape is 235 cm².
HELP PLEASE I WILL MARK BRAINLIEST
Answers
Answer:
M<1 = 131
M<2 = 49
Step-by-step explanation:
1. Alternate interior angles theorem
2. 180-131 = 49
If z = 1 - square root 3i, what is z^3
Answers
-8
8
-8i
8i
Answers
Answer:
[tex]z = 1 - \sqrt{3} i \\ {z}^{3} = (1 - \sqrt{3} i) ^{3} \\ =(1 - \sqrt{3} i)(1 - \sqrt{3} i)(1 - \sqrt{3} i) \\ open \: brackets \\ = (1 - 2 \sqrt{3} i + ( { \sqrt{3} i})^{2} )(1 - \sqrt{3} i) \\ but \: {( \sqrt{3}i) }^{2} = - 3 \: since \: {i}^{2} \: is \: - 1 \: in \: complex \: numbers \\ = (1 - 2 \sqrt{3} i - 3)(1 - \sqrt{3} i) \\ = ( - 2 - 2 \sqrt{3} i)(1 - \sqrt{3} i) \\ = ( - 2 + 2 \sqrt{3} i - 2 \sqrt{3} i + 2( { \sqrt{3} i)}^{2} ) \\ = - 2 - 6 \\ = - 8[/tex]
Answer:
A
Step-by-step explanation:
Edge 2023
10.You can buy 5 stickers for $3. How many stickers could you buy for $12 if the price remains proportional?
20
12
10
15
Answers
because 3x4=12 4x5=20
PLZ HELP Will give you brainly if it works
Answers
Answer:
The prime number is only 11
11 is the only one i seee
Hey there! I know this is prob really simple and I am beginning to understand it, but my problem is
Sec 60°
Now I know all the SOH CAO TOH stuff, and things like that, I just don't understand how to find the value because it changes all the time with the right triangle and the number of their sides.
Really just need the formula on how to solve stuff.
Answers
Answer:
sec(60) = 2
Step-by-step explanation:
sec(theta) = 1/cos(theta)
theta = 60o
cos(60) = 1/2 = 0.5
sec(theta) = 1/0.5 = 2
Bill sees two boxes of baseball cards at a card show. The first box has 150 cards for $12.55.The second box has 120 cards for $9.60. The cards in which box are cheaper?
Answers
Answer: Cards in second box are cheaper.
Step-by-step explanation:
We are told that the first box has 150 cards for $12.55. Therefore, the cost of one card would be:
= $12.55 / 150
= $0.084.
The second box has 120 cards for $9.60. Therefore, the cost if one card would be:
= $9.60 / 120
= $0.08
Therefore, the cards in the second box are cheaper.
ABCD is a parallelogram, find the value of y
Answers
Answer:
33
Step-by-step explanation:
angles A and B should add up to 180, so A must be 40, and because it is a parallelogram the anlge across from it should also equal 40. 33+7=40.
This question has two parts. First, answer Part A. Then, answer Part B. Part A Fill in the blanks to complete the sentence. A taxi service charges $5.00 to ride in the vehicle and then $1.00 for each mile. Complete the table with the missing information. Distance Traveled (mi) 10 $
14 $
20 $
85 $
Listen to the complete question
Part B
Complete the statement about whether the relationship between distance traveled and the price of the trip is proportional.
The relationship , 1 of 2. proportional because the ratio of price to distance traveled is , 2 of 2. the same.
Answers
Answer:
85
Step-by-step explanation:
Find three solutions to the linear equation 4x+y=20
Answers
Answer:
[tex](0,20),(1,16),(2,12)[/tex]
Step-by-step explanation:
[tex]We\ are\ provided\ with\ the\ equation:\\4x+y=20\\In\ order,\ to\ find\ solutions\ to\ a\ linear\ equation\ in\ two\ variables,\ we\\ usually\ substitute\ a\ value\ to\ either\ the\ abscissa or\ the\ ordinate\ to\ get\\ the\ corresponding\ ordinate\ or\ the\ abscissa.\\Hence,\\Here,[/tex]
[tex]Let's\ plug\ in\ simpler\ value's\ of\ 0,1,2\ as\ the\ x-co-ordinate\ to\ obtain\ it's\\ y-coordinate.\\Hence,\\Coming\ back\ to\ our\ equation:4x+y=20\\Substituting\ x=0,\\4*(0)+y=20\\y=20\\Hence,\\x=0,y=20\ or\ (0,20)\ is\ a\ solution\ of\ the\ equation.[/tex]
[tex]Substituting\ x=1,\\4*(1)+y=20\\4+y=20\\y=20-4=16\\Hence,\\x=1,y=16\ or\ (1,16)\ is\ also\ a\ solution\ of\ the\ equation.[/tex]
[tex]Substituting\ x=2,\\4*(2)+y=20\\8+y=20\\y=20-8=12\\ Hence,\\x=2,y=12\ or\ (2,12)\ is\ a\ solution\ of\ the\ equation\ too.[/tex]
[tex]Hence,\ collecting\ all\ the\ solutions\ of\ the\ equations:\\(0,20),(1,16),(2,12)\ are\ all\ solutions\ of\ the\ given\ equation.\\[/tex]
A restaurant borrowed
$15,000 to remodel.
The loan is for 7 years and
the yearly interest rate is
4.25%. How much interest
will the restaurant pay?
Answers
Answer:
$4462.50
Step-by-step explanation:
simple interest =principal × rate × time\100
Solve for x; round to the nearest tenth of meter (please help will definitely give Brainliest❤️❤️)
Answers
Answer:
the first answer
Step-by-step explanation:
In SOHCAHTOA, we are using soh
sin(23)=2500/x
Can someone help me find X for number 4
Answers
The abbreviation for interquartile range is IQR.
A
False
B
True
Answers
Answer:
B, True
Step-by-step explanation:
Answer:
B)True
Step-by-step explanation:
IQR= Interquartile Range
Please help me! I WILL MARK BRAINLIEST
Answers
Answer:
B because you add each time starting from 3
Step-by-step explanation:
A circle of radius 90 inches has a central angle that intercepts an arc of length 120 inches. Explain whether the measure of the central angle is 34 radians
A. The measure is not 34 radians. The measure is 32 radians because the angle measure in radians is the diameter divided by the arc length.
B. The measure is not 34 radians. The measure is 43 radians because the angle measure in radians is the arc length divided by the radius.
C. The measure of the angle is 34 radians because the angle measure in radians is the radius divided by the arc length.
D. The measure is not 34 radians. The measure is 23 radians because the angle measure in radians is the arc length divided by the diameter.
Answers
Answer:
D
Step-by-step explanation:
I really don't know not smart