The reciprocal of an integer plus the reciprocal of two times the integer plus two equals 2/3 Find the integer.

Answers

Answer 1

Answer: $(1)/(x) + (1)/(2x+2)= (2)/(3)\ /\cdot 3x(2x+2) \ \ \ \wedge\ \ \ x \neq 0\ \ \wedge\ \ 2x+2 \neq 0\n \n.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x\in R-\{0;-1\}\n \n (1)/(x)\cdot 3x(2x+2) + (1)/(2x+2)\cdot 3x(2x+2)= (2)/(3)\cdot 3x(2x+2)\n \n3(2x+2)+3x=2x(2x+2)\n \n6x+6+3x=4x^2+4x\n \n-4x^2+9x-4x+6=0\n \n-4x^2+5x+6=0\ \ \ \Rightarrow\ \ \Delta=5^2-4\cdot(-4)\cdot6=25+96=121\n \n$

$x_1= (-5- √(121) )/(2\cdot (-4))= (-5-11)/(-8) = (-16)/(-8) =2\ \ \ is\ integer\n \nx_2= (-5+ √(121) )/(2\cdot (-4))= (-5+11)/(-8) = (6)/(-8) =- (3)/(4) \ \ \ is\ not\ the\ integer$

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Which of the following are useful ways of finding the value of a variable? Check all that applyA.Writing an equation
B.Drawing a graph
C.Reading a table
D.Drawing a diagram

Answers

Writing an equation and Drawing a graph are two ways or useful ways of finding the value of the variable. These two are the basic ways of solving the given variable equation. In mathematical ways, this is the most useful ways.

Drawing a graph as it shows the change in variables.

4x-13=12-x
how do i show my work

Answers

Answer:

x=25

Step-by-step explanation:

4x-13=12-x

4x+x=12+13

5x=25

x=25

Reflectional symmetry is the qualitya design has if it maintains all characteristics when it is rotated about:

A. an edge lying in its plane.
B. an axis lying in its plane.
C. a point lying in its plane.
D. an axis lying in its opposite plane.

Answers

The right answer for the question that is being asked and shown above is that: "D. an axis lying in its opposite plane." Reflectional symmetry is the quality a design has if it maintains all characteristics when it is rotated about D. an axis lying in its opposite plane.

Answer: c - a point lying on its plane

Step-by-step explanation:

i don’t know why i just know it’s right unless it’s not

Sheila bought 10 1⁄2 oz of almonds for $3.36. How much did the almonds cost per ounce?

Answers

3.36/10.5 = 0.32

It costs $0.32 an ounce

Please help!!!. I don't know how to do it. Find the values of x and y that produce the following Pythagorean triples:

39, 760, 761

Answers

39 has factors (1 * 39) & (3 * 13)
Here we'll try
m + n = 13
m - n = 3

2m = 16
m = 8

2n = 10
n = 5
2mn = 2 * 8 * 5 = 80
So this choice is no good.
Let's go with
m + n = 39
m - n = 1

2m = 40
m = 20

2n = 38
n = 19

Thus
x = 20² - 19² = 39
y = 2 * 20 * 19 = 760
z = 20² + 19² = 761

If n=-2 should we first add 7 to n or
multiply n by 3? Explain.

Answers

Answer: Add 7 to n to make it a positive number and easier to work with

Step-by-step explanation:

first all 7 then divide by divide by 3

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John and 3 friends are going out for pizza for lunch. They split one pizza and 4 large drinks. The pizza cost $13.00. After using a $6.00 gift certificate, they spend a total of $13.20. Write an equation to model this situation, and find the cost of one large drink. A. 4d – $13.00 + $6.00 = $13.20; $6.73 B. 4d + $13.00 – $6.00 = $13.20; $1.55 C. 4d + $13.00 – $6.00 = $13.20; $1.60 D. 3d + $13.00 – $6.00 = $13.20; $2.07

Which is a recursive formula for the sequence 99.4, 0, –99.4, –198.8, where f(1) = 99.4?

A container contains balls numbered from 1 through 55. A ball is drawn randomly and replaced. Then a second ball is drawn randomly. What is the probability that the first ball is number 9 and the second ball is number 41?

What's greater?-8 or -1/20