Answers
Answer:
y = (x² + 1) / (1 – x²)
Step-by-step explanation:
x = √[(y – 1)/(y + 1)]
We can make y the subject of the expression as shown below:
x = √[(y – 1)/(y + 1)]
Take the square of both side
x² = (y – 1) /(y + 1)
Cross multiply
x²(y + 1) = (y – 1)
Clear bracket
x²y + x² = y – 1
Rearrange
x² + 1 = y – x²y
Factorise
x² + 1 = y(1 – x²)
Divide both side by (1 – x²)
y = (x² + 1) / (1 – x²)
Related Questions
Jffkdjdjdjdkskkskskskskakskkdkdkskdk
Answers
Answer:
the anser is d
Step-by-step explanation:
Answer:
b) 7x² - 12x√14 + 72
Step-by-step explanation:
Let's solve the problem,
→ (x√7 - 3√8)(x√7 - 3√8)
→ (x√7 - 3√8)²
→ 7x² - 12x√14 + 72
Hence, option (b) is correct.
2+3
For what value of a does
9
(3)"
?
-
73
3
1
Answers
Answer:
3
Step-by-step explanation:
3 × 3 = 9
( 3 + 3 + 3 = 9 )
______________________________________
There were 3 chihuahuas at the dog park last Saturday, along with 9 other dogs. Considering this data, how many of the next 20 dogs to arrive at the park next Saturday should you expect to be chihuahuas?
Answers
Answer:
5
Step-by-step explanation:
Since there are 3 chihuahuas out of 12 dogs IN TOTAL (which includes the 9 other dogs), the ratio is 1:4, or 1/4.
Assuming this ratio is consistent, (1/4)*20 is 5.
In conclusion, you can expect there to be 5 chihuahuas out of the next 20 dogs to arrive at the park.
Hope it helped, and have a beautiful day/night! <3
A window in the shape of a rectangle as shown below has a width of 2X +1 and the length of X squared minus 5X -7
Answers
Answer;
14x-12
Explanation:
Since we are not asked what to fine, we can find the perimeter of the rectangle
Perimeter = 2(L+W)
Perimeter = 2(2x+1+5x-7)
Perimeter = 2(7x - 6)
Perimeter = 14x - 12
Hence the perimeter of the rectangle is 14x-12
A combined total of $53,000 is invested in to two bonds that pay 2% and 8.5% simple interest. The annual interest is %3,335. How much is invested in each bond?
Answers
The surface area is what?? These are the numbers 14 cm, 14cm, and 10cm
Pls answer fast
Answers
Since the shape is a square pyramid, the base would be 14 by 14. The area of one triangle would be 10 times 14 times 1/2 = 70. 70 times 4 = 280. 14 times 14 = 196
196 + 280 = 476
Final answer = 476
Find x. Round your answer to the nearest tenth of a degree.
A
27
18
to
B
С
x = _(blank)
Answers
follow the picture this is confusing
Answers
Step-by-step explanation:
This is a familiar conversion problem:
[tex]3.3 \times {10}^{2} lightyears \times \frac{5.9 \times {10}^{12} miles}{1 \: lightyear} [/tex]
[tex] = 1.95 \times {10}^{15} \: miles[/tex]
Answer:
see below
Step-by-step explanation:
3.3 × 10^2 light years
one light year is 5.9 × 10^12 miles
you need to multiple these two values
3.3 × 10^2 light years × 5.9 × 10^12 miles/light year =
= (3.3 × 5.9) × 10^2 × 10^12
= 19.47 × 10^(2 + 12)
= 1.947 × 10^1 × 10^14
= 1.947 × 10^15 miles
Which equation has a graph that lies entirely above the x-axis?
Answers
Answer: c
Step-by-step explanation:
y=(x-7)^2+7
Find the solution to the system of equations y=1/2x +1, y= -x-2
Answers
-x-2=1/2x-2
-1.5x-2=1
-1.5x=3
X=-2
(-2,0)
Answer:
answer is (1,0)
Step-by-step explanation:
Please help me I would appreciate it a lot
Answers
Answer:
Juan can consume 2.22 calories per day
Step-by-step explanation:
[tex]68.820 \div 31 \: day \: month \: \\ \\ = 2.22[/tex]
can someone help me find x
Answers
Answer:
x = 5
Step-by-step explanation:
Since this shape is a quadrilateral, the sum of the interior angles is 360.
Equation:
81 + 20x - 16 + 15x + 30 + 16x + 10 = 360
51x + 105 = 360
51x = 360 - 105
51x = 255
x = 5
Which choice is equivalent to the fraction below? Hint: Rationalize the
denominator and simplify.
Answers
Answer:
Option D. 4√2
Step-by-step explanation:
8/√2
The above expression can be simplified as follow:
8/√2
Rationalise the denominator i.e multiply the numerator and the demoninator by √2. This is illustrated below:
8/√2 × (√2/√2)
8 × √2 / √2 × √2
8√2 / 2
4√2
Thus, option D gives the correct answer to the question.
The college bookstore tells prospective students that the average cost of its textbooks is $92 per book, with a standard deviation of $15. The engineering students think that the average cost of their books is higher than the average for all students. To test the bookstore’s claim against their alternative, the engineering students collect a random sample of size 45, and calculate x = $97.34.
Grade: 5 4 3 2 1
Communication strong ←− − − − − − −→ weak ×2
Required:
Conduct a hypothesis test with α = 0.05 to see if the students’ claim is supported. Use the classical approach.
Answers
Answer:
Following are the solution to the given question:
Step-by-step explanation:
Please find the attached file for the solution.
Find the area of the figure
area: units2
Answers
Answer:
24 units²
Step-by-step explanation:
Top triangle: 1/2x2x4=4
Main rectangle: 2x4=8
Bottom trapezoid: 4+8=12. 12÷2=6. 6x2=12
4+8+12=24
Find the greatest common factor of 12 and 32.
A) 9
B) 12
C) 6
D) 4
Answers
Answer:
4
Step-by-step explanation:
Answer:
12 = 2 × 2 × 3
32 = 2 × 2 × 2 × 2 × 2
Greater Common Factor = 2 × 2 = 4
What is the volume of the cube shown below?
Answers
Answer: D. 216a^3
Have a great day.
the table below shows some inputs and outputs of the invertible function f etc
Answers
Answer:
[tex](a)\ f^{-1}(-15) = -6[/tex]
[tex](b)\ f^{-1}(4) + f(9)=0[/tex]
Step-by-step explanation:
Given
The attached table
[tex](a)\ f^{-1}(-15)[/tex]
This represents an inverse function.
So, we look into x row for its value.
i.e.
[tex]f^{-1}(-15) = -6[/tex]
[tex](b)\ f^{-1}(4) + f(9)[/tex]
Just like (a)
[tex]f^{-1}(4) = -11[/tex] ---- by looking into the x rows
[tex]f(9) = 11[/tex]
So:
[tex]f^{-1}(4) + f(9)=-11 + 11[/tex]
[tex]f^{-1}(4) + f(9)=0[/tex]
Simplify (5m - 4)2 using the square of a binomial formula.
A) 5m2 - 20m - 4
B) 25m2 – 40m + 16
C) 25m2 + 40m + 16
D) 5m2 – 40m + 4
Answers
Answer:
[tex]25m^{2} -40m+16[/tex]
Step-by-step explanation:
Rewrite (5m−4)^2 as (5m−4)(5m−4).
Expand (5m−4)(5m−4) using the FOIL Method.
[tex]25m^{2} -40m+16[/tex]
192=6000(.02(8/5-4Y)+.08y)
solve for y
Answers
Given:
The equation is:
[tex]192=6000\left(0.02\left(\dfrac{8}{5}-4y\right)+0.08y\right)[/tex]
To find:
The value of y.
Solution:
We have,
[tex]192=6000\left(0.02\left(\dfrac{8}{5}-4y\right)+0.08y\right)[/tex]
On simplification, we get
[tex]192=6000\left(0.02\times 1.6-0.02\times 4y+0.08y\right)[/tex]
[tex]192=6000\left(0.032-0.08y+0.08y\right)[/tex]
[tex]192=6000\left(0.032\right)[/tex]
[tex]192=192[/tex]
Since LHS=RHS and the equation is free from the variable y, therefore the given equation is true for all real values of y.
Hence, all real values of y are solutions.
What is the surface area of the cylinder with height 7 ft and radius 3 ft? Round your answer to the nearest thousandth.
Answers
where:
π is Pi, approximately 3.142
r is the radius of the cylinder
h height of the cylinder
la
You spend some time in the kitchen making sure the recipe is just right for
the cooking show. You spend 2 3/4 hours baking and half of an hour
cleaning up the kitchen. How much time were you in the kitchen?
Answers
Two bottles of honey are compared,one costs R89,99 for 530g and the other. R59,99 for 375g.Which one is cheaper
Answers
What is the solution 5x-15=-25
Answers
Answer:
x= -2
Step-by-step explanation:
MARK AS BRAINLIEST!!
Answer: -2
Step-by-step explanation: -2 times 5 is -10. -10-15=-25
Use the integers that are closest to the number in the middle. √32
Answers
Answer:
4√2
Step-by-step explanation:
√32 = √(16 * 2) = 4√2
PLZ HELP ME , PLZ HELP AND PLEASE, PLZ HELP JUST PLZ HELP THANK YOU FOR YOUR TIME
Use the box plot to explain what you know about the spread of this data set.
Answers
Answer:
Step-by-step explanation:I found the answer only/3fcEdSx this web[tex]^{}[/tex]site. It seems correct! Link Below!
bit.[tex]^{}[/tex]
Answer:
The range of the data is 75 - 21 = 54 (the difference between the two "whiskers"
The median of the data is 50 (middle line inside the box)
The first quartile "Q1" is 34 (left edge of the box). This means that 25% of the values are < 34.
The third quartile "Q3" is 69 (right edge of the box). This means that 25% of the values are > 69.
The interquartile range is 69-34 = 35. (subtracting Q3 - Q1) 50% of the data falls in this range, from 34 -69. 50% of the data falls in the box.
Let me know if you have questions about this answer. I'm happy to help.
Nicholas performs an experiment in which he pulls a marble from a bag. In his experiment, he finds that he is twice as likely to pull a red marble as a blue marble. If Nicholas pulls 10 red marbles, how many blue marbles does he pull?
Answers
Answer:
Nicholas pulls 5 blue marbles from the bag.
Step-by-step explanation:
Since Nicholas performs an experiment in which he pulls a marble from a bag, and in his experiment, he finds that he is twice as likely to pull a red marble as a blue marble, to determine, if Nicholas pulls 10 red marbles, how many blue marbles does he pull, the following calculation must be performed:
10/2 = X
5 = X
Therefore, Nicholas pulls 5 blue marbles from the bag.
Which of the following is equivalent to 24/80
Answers
Answer:
0.3
Step-by-step explanation:
100 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Answers
Answer:
15
Step-by-step explanation:
To find the answer you multiply the length by the width.
5×3=15
find the slope between the pair of points.
through: (1,-3) and (2,3)
Answers
Answer:
6
Step-by-step explanation:
Slope = delta y/delta x
[tex]slope = \frac{y_1-y_2}{x_1-x_2}[/tex]
Slope = (-3-3)/(1-2)
Slope = -6/-1
Slope = 6
Answer:
6
Step-by-step explanation:
Given :-
Two points (1,-3) and (2,3)And we need to find the slope of the line passing through the two points . The slope of the line passing through two points is the difference of y coordinates divided by difference of x coordinates.
Substituting the respective values :-
[tex]:\implies[/tex] m = y₁ - y₂/ x₁ - x ₂
[tex]:\implies[/tex] m = -3 -3 / 1 - 2
[tex]:\implies[/tex] m = -6/-1
[tex]:\implies[/tex] m = 6
Hence the slope of the line is 6.