A binary operation * on the set R of real
numbers is defined by a*b = a/b +
b/a
where a and b belong to R. Simplify
(x+1)*2=3.
Answers
We get the value (x - 2) = \(\sqrt{5}\) or (x - 2) = -\(\sqrt{5}\)
Given,
In the question:
A binary operation * on the set R of real numbers is defined by
a*b = a/b + b/a
where a and b belong to R.
To solve the (x+1)*2=3.
Now, According to the question:
a*b = a/b + b/a
x +1 *2 = 3
x +1/2 + 2/x+1 = 3
\((x+1)^2\) + 4 = 6(x+1)
\(x^{2}\) +2x +1 + 4 = 6x + 6
\(x^{2}\) + 2x - 6x + 1 - 6 + 4 = 0
\(x^{2}\) - 4x - 5 + 4 = 0
\(x^{2}\) - 4x + 4 = 5
\((x - 2)^2 = 5\)
(x - 2) = \(\sqrt{5}\) or (x - 2) = -\(\sqrt{5}\)
Hence, We get the value (x - 2) = \(\sqrt{5}\) or (x - 2) = -\(\sqrt{5}\)
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Related Questions
when f(x)=6x2−2x+2 , evaluate f(−1)
f(-1)=
Answers
Answer:
f(-1) = 10
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
f(x) = 6x² - 2x + 2
f(-1) is x = -1
Step 2: Evaluate
Substitute in x: f(-1) = 6(-1)² - 2(-1) + 2Exponents: f(-1) = 6(1) - 2(-1) + 2Multiply: f(-1) = 6 + 2 + 2Add: f(-1) = 8 + 2Add: f(-1) = 10I don't understand this problem
Answers
Answer:
Right angle (90°)
Step-by-step explanation:
Because, main Street and Oak Street are crossing each other at 90°.
Hope it helps you in your learning process.
Answer:
right angle
Step-by-step explanation:
because they're perpendicular lines
equation 1: 5x + 3y=8
equation 2: 4x + 7y= 34
9x-10y=42 true
Answers
Answer:
true
Step-by-step explanation:
5x + 4x = 9x
3y + 7y = 10y
8 + 34 = 42
Answer:
False
Step-by-step explanation:
5x+3y=8
4x+7y=34
Then:
5x+4x+3y+7y=9x+10y
9x+10y=43 not 9x-10y
The average body temperature of all healthy adults is 98.6 F. A doctor takes a random sample of 100 healthy adults and records the temperature of each. The average temperature of these 100 adults is 98.2 F and the standard deviation is 6.9 F. Identify the values of the statistic and the parameter(s).
Answers
Answer:
Explained below.
Step-by-step explanation:
A parameter is a valuable element of statistical analysis. It denotes the characteristics that are used to define a given population. It is used to define a particular attribute of the population. For instance, population mean, population standard deviation, population proportion and so on.
The parameter of interest is the average body temperature of all healthy adults, μ = 98.6°F.While making a statistical conclusion about the population under study, the parameter value is unknown. This is because it would not be possible to gather data from every single member of the population. So a sample is selected from the population to derive a conclusion about the parameter.
A statistic is the value of the characteristics that are computed using this sample. For instance, sample mean, sample standard deviation, sample proportion and so on.
The statistic is the average body temperature of 100 randoly selected healthy adults, \(\bar x=98.2^{o}F\).Which function is best represented by the graph?
Answers
Answer:This would be option letter C
Step-by-step explanation:The diagram is a gram of external geofram so the position Is fFX(4) ^N
Answer:
D
Step-by-step explanation:
f(x)= -x^2+4
Draw graph of -x^2 and shift it 4 units above
Cuanto es esto con explicación :3x-12=9x_30
Answers
Answer:
x = 0
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2x-9
X =
X +5
Use the triangle shown above to solve for x.
A
Answers
The value of x is 14.
We know in an isosceles triangle an isosceles polygon is a polygon with at least two sides of equal length.
We have two sides measured 2x-9 and x+ 5.
From the figure the length of sides are equal then
2x-9 = x+ 5
2x- 9- x = 5
x-9 = 5
Add 9 to both sides of the equation:
x - 9 + 9 = 5 + 9
x= 14
Thus, the value of x is 14.
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simplify ((a³ - 27) / (a - 3)) (a² - 3a + 9)
Answers
Answer:
\(a^{4}\)+9a²+81
Step-by-step explanation:
((a³ - 27) / (a - 3)) (a² - 3a + 9)
What is 6 1/2x 3? I really need to know! Thx
Answers
Answer: 39x/2
The correct answer when simplifying is 39x/2
Hope this helps =)
slove the following systems of equations using any method. y= 3x + 7 , y= x- 9 , 3x- y= 1 , 7x + 2y = 37.
Answers
y=3× + 7 , y=×- 9 , 3×- 9 , 3×- y= 1 , 7× + 2y = 37.
Which of the following is the x-axis?
Answers
Answer:
D
Step-by-step explanation:
C is the first quadrant (where both x and y are positive).
A is the y-axis.
B is the origin.
D is the x-axis
Answer: D
Step-by-step explanation: it wouldn't be B because that's the origin point and A is the y-axis and C is in the open, the Answer is D
Find the general indefinite integral. (Use C for the constant of integration. Remember to use absolute values where appropriate.) integral 4 + Squareroot x + x/x dx
Answers
The answer of this queation :∫ (4 + √x + x/x) dx = 4x + 2/3 x^(3/2) + x + C
where C = C1 + C2 + C3 is the constant of integration for the entire expression.
eparate integrals:
∫ 4 dx + ∫√x dx + ∫ x/x dx
The first two integrals can be easily integrated as follows:
∫ 4 dx = 4x + C1, where C1 is a constant of integration.
∫√x dx = 2/3 x^(3/2) + C2, where C2 is a constant of integration.
For the third integral, note that x/x simplifies to 1 for all nonzero x.
∫ x/x dx = ∫ 1 dx = x + C3, where C3 is a constant of integration.
Putting it all together, we have:
∫ (4 + √x + x/x) dx = 4x + 2/3 x^(3/2) + x + C
where the integration constant for the entire statement is C = C1 + C2 + C3.
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The manufacturer of Derrick’s car states that the car should get 25 miles per gallon of gas. Derrick plans to drive 400 miles. He used the equation 400=25g to determine g, the number of gallons of gas he needs for the trip. What value of g makes this equation true?
a. 375
b. 100
c. 20
d. 16
Answers
g= 16 gallons
Hope this helps!! :)
Javier teaches yoga classes at his community center. In a 60-minute class last night, he taught 30 poses. Today, he has a 30-minute class. If he teaches at the same rate, how many poses will Javier teach in today's class?
Answers
Answer:
15
Step-by-step explanation:
fifteen is half of 30
9x=10 please help…….
Answers
Let's solve your equation step-by-step.
9x=10
Step 1: Divide both sides by 9.
9x / 9 = 10 /9
x = 10 / 9
Answer:
x = 10 / 9
For which system of inequalities is (-7,-2) a solution?
Answers
The system of inequalities that has a solution (- 7, - 2) are C. and D.
What is the graphical solution of system of equations?Graphical solutions of a system of equations are way of finding the intersection points of all the equations given.
A system with two or more than two equations has a solution only when they have a common intersection point.
Now, the system of inequalities that has a solution (- 7, - 2) must satisfy both inequalities simultaneously.
A. - 7 - 2 > - 9 not satisfied.
B. - 7 - 2 ≥ - 8 not satisfied.
C. - 7 - 2 < - 8 and 2(-7) - 5(-2) > - 4 ⇒ - 14 + 10 > - 5 satisfied.
D. - 7 - 2 ≥ - 9 and - 14 + 10 > - 5 ⇒ - 4 > - 5 satisfied.
So, C and D satisfy the conditions.
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Rewrite the function by completing the square. h(x)= 4 x^{2} -36 x +81
Answers
Answer:
4(x-4.5)^2
Step-by-step explanation:
h(x)=4x^2-36x+81
=4(x^2-9x)+81
=4(x^2-9x+20.25)-(4)(20.25)+81
=4(x-4.5)^2
1. Find the measurement of angle J.
2. (5x - 13) (3x + 17)
Answers
Answer:
Q1. x= 18, y=59
Q2. m∠J= 56°
Step-by-step explanation:
Q1. (3x +5)°= y° (base ∠s of isos. △)
y= 3x +5 -----(1)
(3x +5)° +y° +(4x -10)°= 180° (∠ sum of △)
3x +5 +y +4x -10= 180
7x +y -5= 180
7x +y= 180 +5
7x +y= 185 -----(2)
Substitute (1) into (2):
7x +3x +5= 185
10x= 185 -5
10x= 180
x= 180 ÷10
x= 18
Substitute x= 18 into (1):
y= 3(18) +5
y= 59
Q2. (5x -13)°= (3x +17)° (base ∠s of isos. △)
5x -13= 3x +17
5x -3x= 17 +13
2x= 30
x= 30 ÷2
x= 15
∠LKJ
= 3(15) +17
= 62°
∠KLJ= 62° (base ∠s of isos. △)
m∠J
= 180° -62° -62° (∠ sum of △JKL)
= 56°
What would be an appropriate domain if the function hin) gives the number
of man-hours it takes to assemble n engines in a factory in a day, subject to a
maximum of 300 engines?
Answers
Answer:
assuming that you are NOT allowed to build 1/2 of an engine or that you dont destroy any of them in the process of building them ...
"all positive integers less than or equal to 300"
Step-by-step explanation:
What are the coordinates of vertex J of the pre-image?
O (0, -4)
O (0, -1)
0 (0,0)
0 (0, 4)
Answers
Answer:
(0, -4)
Step-by-step explanation:
J: (0, -2)
Since the equation: [(1/2) x, (1/2) y] was used to create the image, the opposite would create the answer.
x: (2) × 0 = 0
y: (2) × (-2) = -4
(0, -4)
I hope this helps!
Helppppppppppppppppp
Answers
using the line of best fit
Answers
The monthly cell phone bill when shared data equals zero is given as follows:
$26.
How to define a linear function?The slope-intercept representation of a linear function is given by the equation presented as follows:
y = mx + b
The coefficients of the function and their meaning are described as follows:
m is the slope of the function, representing the change in the output variable y when the input variable x is increased by one.b is the y-intercept of the function, which is the initial value of the function, i.e., the numeric value of the function when the input variable x assumes a value of 0. On a graph, it is the value of y when the graph of the function crosses the y-axis.The intercept of the line in this problem is given as follows:
b = 26.
Hence $26 is the monthly cell phone bill when shared data equals zero.
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If you are solving the equation 1/(x-4)+1=14/(x+2) by factoring, which of the following equations would you use the zero product property on?
(x - 5)(x + 4) = 0
(x - 5)(x - 10) = 0
(x + 5)(x + 10) = 0
Answers
Answer:
The equation that would be used for the zero product property on will be (x-5)(x-10)=0
Option B is correct.
Step-by-step explanation:
We need to solve the equation \(\frac{1}{(x-4)}+1=\frac{14}{x+2}\)
Solving the equation:
\(\frac{1}{(x-4)}+1=\frac{14}{x+2}\\\frac{1+(x-4)}{x-4}= \frac{14}{x+2}\\\frac{1+x-4}{x-4}= \frac{14}{x+2}\\\frac{x-3}{x-4}= \frac{14}{x+2}\\Cross\: Multiply\\(x-3)(x+2)=14(x-4)\\x(x+2)-3(x+2)=14x-56\\x^2+2x-3x-6=14x-56\\x^2-x-6-14x+56=0\\x^2-x-14x-6+50=0\\x^2-15x+50=0\)
Now, we would factorise to find value of x
\(x^2-15x+50=0\\x^2-5x-10x+50=0\\x(x-5)-10(x-5)=0\\(x-5)(x-10)=0\)
So, the equation that would be used for the zero product property on will be (x-5)(x-10)=0
Option B is correct.
Answer:
So, the equation that would be used for the zero product property on will be (x-5)(x-10)=0
Option B is correct.
Step-by-step explanation:
write the ratio as a fraction in the simplest form, with whole numbers in the numerator and denominator 20 he to 24 hr
Answers
9514 1404 393
Answer:
5/6
Step-by-step explanation:
We assume you want the ratio ...
(20 hr)/(24 hr) = (4·5)/(4·6) = 5/6 . . . . . factors of 4 and hours cancel
The ratio is 5/6.
I am stumped >:( ahhhhhhh
Answers
Answer:
\(\frac{1}{32} yards^{3}\)
Step-by-step explanation:
\(V=w*h*l\)
↓
\(V= \frac{1}{4} *\frac{1}{4} *\frac{1}{2}\)
=
\(\frac{1}{32} yards^{3}\\\)
Hope this helps!
Write
7
2
5
as an improper fraction.
Answers
Answer:
7*2/5 it is a improper fraction
Answer:
\(\frac{7}{1}\), \(\frac{2}{1}\), and \(\frac{5}{1}\)
Step-by-step explanation:
Those are all the improper fraction forms of 7, 2, and 5.
What do you already know about linear relationships?
Answers
Answer:
A linear relationship (or linear association) is a statistical term used to describe a straight-line relationship between two variables. Linear relationships can be expressed either in a graphical format or as a mathematical equation of the form y = mx + b.
Question #9
Solve for x
4
x
Answers
The calculated value of x in the circle is 5
How to determine the solution for xFrom the question, we have the following parameters that can be used in our computation:
The circle
Using the intersection of secant and tangent equation, we have
4 * (4 + x) = 6 * 6
This gives
x * (4 + x) = 36
When solved for x, we have
x = 5
Hence, the value of x is 5
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The graph shows the amount of protein contain in a certain brand of peanut butter. Which statement describes the meaning of the point (6, 30) on the graph?
A.) There are 6 g of protein per tablespoon of peanut butter.
B.) There are 30 g of protein per tablespoon of peanut butter.
C.) There is 6 g of protein in 30 tablespoons of peanut butter.
D.) There are 30 g of protein in 6 tablespoons of peanut butter.
Answers
Answer:
D.) There are 30 g of protein in 6 tablespoons of peanut butter.
Step-by-step explanation:
Interpretation of the graph:
x-axis: tablespoons
y-axis: grams of protein.
Which statement describes the meaning of the point (6, 30) on the graph?
(6,30) means that x = 6 and y = 30.
This means that in 6 tablespoons there are 30g of protein.
So the correct answer is:
D.) There are 30 g of protein in 6 tablespoons of peanut butter.
Answer:
The answer is D
50 PONTS
Complete the following statements:
< A corresponds to <
< B corresponds to <
< C corresponds to <
Side CA corresponds to side?
Side BC corresponds to side?
Side AB corresponds to side?
Answers
Answer:
Step-by-step explanation:
1. j
2. k
3. L
4. Lj
5. kL
6. jk