The two factors means that the two value will equate with zero
A) 2x-6
They can be aslo simplified as :
2x-6=0
2x=6
x=3
Thus they gave only one values and cannot be expressed as the factors of two product
B) 2x+6
In this expression
we can simplify as :
2x+6
2x+6=0
2x=-6
x=-3
Thus , they are also not expressed as the factors of the two product
C) 2(x+6)
In this expression
we can simplify as :
2x+12
2x+12=0
2x=-12
x=-6
Thus , they are also not expressed as the factors of the two product
D) (2+x)÷(6+x)
They can express as fraction
[tex]\begin{gathered} (2+x)\div(6+x)=\frac{(2+x)}{(6+x)} \\ (2+x)\div(6+x)=(2+x)(6+x)^{-1} \end{gathered}[/tex]Thus, They express as the product of the tewo factors
Answer : D) (2+x)÷(6+x)
Select Correct or Incorrect for each equation.
Equation
-1+1/-1=1
-1/1=-1
Answer:
first equation: Incorrect
second equation: Correct
Step-by-step explanation:
first equation:
[tex]-1 + (\frac{1}{-1}) = 1[/tex]
[tex]-1 + (-1) = 1[/tex]
[tex]-2 = 1[/tex]
negative 2 isn't the same as positive 1 which isn't true so the answer is incorrect.
second equation:
[tex](\frac{-1}{1} ) = -1[/tex]
[tex](-1) = -1[/tex]
negative 1 is the same as negative 1 so the answer is correct
Carlos is moving to a new city and looking for a new job. He wants to rent an apartment, and he is willing to use half of his monthly paycheck for rent and apartment-related fees that he knows will be 200$. He doesn’t know exactly how much he’ll make at his new job yet, but he knows it will be somewhere between $3000 and $4000. Write an inequality and solve an inequality to show the price range David’s apartment will have to be in.
Answer: The price of the apartment lies in the range of $1300 to $1800
Step-by-step explanation: Because Carlos doesn't exactly know how much he'll make at his new job but he knows the range will be between 3000$ and 4000$ we will use inequality to solve this problem.
Let the rent on the new apartment = r
let monthly pay of Carlos = x
Given, apartment related fees = 200$
Given he is willing to use half of his monthly pay for rent and apartment related fees combined.
∴rent + apartment related fees = Monthly pay / 2
⇒[tex]r + 200 = \frac{x}{2}[/tex]
⇒[tex]x=2*(r+200)[/tex]
⇒[tex]x=2r+400[/tex] (1)
Given Carlos' monthly pay is in the range of $3000 to $4000
∴[tex]3000\leq x\leq 4000[/tex]
⇒[tex]3000\leq (2r+400)\leq 4000[/tex] (from equation (1))
⇒[tex]3000-400\leq 2r+400-400\leq 4000-400[/tex] (subtracting 400)
⇒[tex]2600\leq 2r\leq 3600[/tex]
⇒[tex]\frac{2600}{2}\leq \frac{2r}{2}\leq \frac{3600}{2}[/tex] (dividing by 2)
⇒[tex]1300\leq r\leq 1800[/tex] (2)
ANS: The apartment lies in the price range of $1300 to $1800 as given by equation (2)
here is a problem solved using inequality
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A number, x, rounded to 1 decimal place is 3.7
Write down the error interval for x.
The range of the error will be [3.65,3.75.
What is an error interval ?The accuracy range or limit where a number is rounded off or truncated is known as the error interval. This range merely depicts the possible range before rounding.
Given that :A number, x, rounded to 1 decimal place is 3.7
The mistake will be half of 0.1, which is[tex]\frac{0.1}{2} = 0.05[/tex], since the number is rounded to the nearest 0.1 unit.
3.7-0.05=3.65 will then be the lower limit of the error interval.
The error interval's upper limit will be 3.7 + 0.05 = 3.75.
The error will be 3.65≤x<3.75 milliseconds.
If the second decimal unit is more than 5, the first decimal unit will be 6, since we are rounding the first decimal unit. Similar to this, the first decimal unit will be 7 if the second decimal unit is less than 5.
The figures below, when rounded, result in 3.7.
3.65 ,3.66,3.67 ,3.68,3.69,3.70,3.71,3.72,3.73,3.74
As a result, the error range will be [3.65,3.75).
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HELP PLS I NEED THIS TODAY
What are the similarities and differences between number 1 and 3?
What similarities do you see between 3 and 4
For example:
Similar: both arithmetic/linear/common difference
Different: #1 is discrete #3 is continuous
WILL GIVE BRAIN
translate to an inequality. he runs at least 1.8 hours per day. question content area bottom part 1 let r represent the number of hours of running per day.
g ≥ 1.8 is the number of hours of running per day in inequality .
What are the mathematical inequalities?
An inequality in mathematics depicts the relationship between two values in an unbalanced algebraic expression. A sign of inequality can be used to show that one of the two variables is larger than, greater than or equal to, less than, or equal to another value.Income gap, gender inequality, access to health care, and social class are some of the most prominent instances of social inequality. Some people receive better and more skilled care in the medical field than others. Additionally, they must pay more for these services.Atleast means the number would be greater than or equal to given number.
g ≥ 1.8
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Complete the table by classifying the polynomials by degree and number of terms. binomial quadratic monomial Polynominal 2002 3x 55 -3x²2 - 6x + 9 constant exponential Name Using Degree linear Name Using Number of Terms trinomial
The given expression -3x²-6x+9 is quadratic expression and it is trinomial.
Classification of polynomials are given below:
A) 2x²
Degree = 2, so it is quadratic expression
Name using number of terms=monomial
B) -2
Degree = 0, it is constant
Name using number of terms=monomial
3) 3x-9
Degree = 1, so it is linear expression
Name using number of terms=monomial
4) -3x²-6x+9
Degree = 2, so it is quadratic expression
Name using number of terms=trinomial
Therefore, the given expression -3x²-6x+9 is quadratic expression and it is trinomial.
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A 45 foot ladder is set up against the side of a house so that it raches up 27 feet. if latanya grabs the ladder at its base and pulls it 3 feet farther from the house how far up will the side of the ladder reach now
Using Pythagorean theorem, the side of the ladder will reach 22.45 ft far up now.
Pythagorean theorem describes the relationship between the sides of a right triangle. It states that the square of the hypotenuse is equal to the sum of the squares of the two other side.
c² = a² + b²
If a 45 foot ladder is set up against the side of a house so that it reaches up 27 feet, then the distance between the base of the ladder and the base of the side of the house is the difference between the square of the two values.
c = 45 ft
a = 27 ft
b² = c² - a²
b² = (45 ft)² - (27 ft)²
b² = 2025 - 729
b² = = 1296
b = 36 ft
If Latanya grabs the ladder at its base and pulls it 3 feet farther from the house, then the distance becomes b + 3 = 39 ft.
Using Pythagorean theorem, determine how far up the ladder is on the side of the house.
c = 45 ft
b = 39 ft
a² = c² - b²
a² = (45 ft)² - (39 ft)²
a² = 2025 - 1521
a² = 504
a = 6√14
a = 22.45 ft
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g(x) = 15 - 4x
3
h(x) = x+8
Write g(h(x)) as an expression in terms of x.
g(h(x)) =
Answer:
[tex]g(h(x))=−6x−17
[/tex]
Step-by-step explanation:
given:
[tex] g(x) = 15 - 4x \\ h(x) = \frac{3}{2 } x + 8[/tex]
To find g(h(x)) substitute h(x) instead of every x in g(x)
therefore:
[tex]g(h(x)) = 15 - 4( \frac{3}{2} x + 8) \\ [/tex]
simplify
[tex]g(h(x)) = 15 - 6x - 32 \\ g(h(x)) = - 6x - 17[/tex]
Shelley buys a volleyball and kneepads to get ready for her season. The volleyball was discounted 30%. The kneepads cost half the original price of the volleyball. She spent a total of $64.08 including $4.08 in tax.
Select all the true statements, where x is the original price of the volleyball.
An equation to model this situation is 0.7x+0.5x+4.08=64.08.
An equation to model this situation is 0.3x+0.5x+4.08=64.08.
The original price of the volleyball was $50.
An equation to model this situation is 0.7x−0.5x+4.08=64.08.
The original price of the volleyball was $75.00.
Question «
Simplify this expression. √24
A 2√6
3√8
8√3
6√2
Answer:
A 2√6
Step-by-step explanation:
- Split the value under root into divisions of factors of 24
[tex]{ \sf{ \sqrt{24} = \sqrt{6 \times 4} }} \\ \\ { \sf{ \sqrt{24} = \sqrt{6} \times \sqrt{4} }} \\ \\ { \sf{ \sqrt{24} = \sqrt{6} \times 2 }} \\ \\ { \boxed{ \sf{ \: \sqrt{24} = 2 \sqrt{6} }}}[/tex]
the volume of the ice cream cone is increasing at the rate of 10 units3/sec and its radius is increasing at the rate of 1 14 units/sec when the radius r and height h are (r, h)
The rate of change for the height of the ice cream is [10 - (2π / 3) · (1 / 14) · h] / [(π / 3) · r²] units per second.
What is the rate of change of the height of a cone?
The volume of an ice cream cone (V), in cubic units, is described by the following formula:
V = (1 / 3) · (π · r²) · h (1)
Where:
r - Radius of the cone, in units.h - Height of the cone, in units.The rate of change for the height of the cone is derived from differentiating (1) with respect to time:
V' = (1 / 3) · (2π · r) · h · r' + (1 / 3) · (π · r²) · h'
V' = (2π / 3) · h · r' + (π / 3) · r² · h'
h' = [V' - (2π / 3) · h · r'] / [(π / 3) · r²]
Where:
h' - Rate of change of the height, in units per second.V' - Rate of change of the volume, in cubic units per second.If we know that V' = 10 and r' = 1 / 14, then the rate of change for the height of the cone is:
h' = [10 - (2π / 3) · (1 / 14) · h] / [(π / 3) · r²]
The height of the ice cream cone changes at a rate of [10 - (2π / 3) · (1 / 14) · h] / [(π / 3) · r²] units per second.
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Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Find the difference.
9832 - 6199 =
3633 is the difference of these numbers.
What is subtraction?To subtract in mathematics is to take something away from a group or a number of objects. The group's total number of items decreases or becomes lower when we subtract from it. The components of a subtraction issue are the minuend, subtrahend, and difference. We frequently employ subtraction in our daily lives. Subtraction is used, for instance, to determine how much money was spent on the products we purchased, how much money is still in our possession, or how much time is left to complete a task.
Subtraction can be applied in a variety of real-world situations. Assume you had five apples and your friend had three. We may calculate the quantity of remaining apples by subtracting: 5 - 3 = 2.
Given Data
9832 - 6199
Subtracting,
= 9832 - 6199
= 3633
3633 is the difference of these numbers.
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Given that f(x)=−2x2+4x and g(x)=3x+3, find the functions below.
Simplify answers completely.
The expression of (f+g)(x) from the functions f(x)=−2x2+4x and g(x)=3x+3 is (f+g)(x) = (-2x^3+7x^2 +3x ).
How can the expression of the function be simplified?From the question we were given the functions that is expected to be simplified as :
f(x)=−2x^2+4x
g(x)=3x+3
And we were told to find the function (f+g)(x) which can be written as :
(f+g)(x) = [(−2x^2+4x )+(3x+3)]x
This can be further expressed as :
(f+g)(x) = (-2x^2+4x +3x+3 )x
This can be further simplified as :
(f+g)(x) = (-2x^2+7x+3 )x
This can be further simplified as :
(f+g)(x) = (-2x^3+7x^2 +3x )
Therefore, the expression of the function (f+g)(x) is (f+g)(x) = (-2x^3+7x^2 +3x ).
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The missing part:
Find (f+g)(x).
The degree of the polynomial function f(x) is 3.
The roots of the equation f(x) = 0 are -1, 0, and 4.
Which graph could be the graph of f(x)?l
The graph could be the graph of f(x) which is the correct answer would be option (B).
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
We are given the degree of the polynomial function f(x) to be 3; and
the roots of the equation f(x) to be 0 are -1, 0, and 4.
So we will put these values in the polynomial function of degree 3 to get:
f(x) = (x -(-1))(x-0)(x-4)
f(x) = (x + 1)x(x-4) = x³ - 3x² - 4x
According to this, the x-intercepts of this function on the graph will be:
(0, 0)
(-1, 0)
(4, 0)
So we will look for a graph that intercepts the x-axis at these points.
Therefore, the graph of the option (B) at the bottom right satisfies the conditions and is the graph of f(x).
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Write an equation of a line that is perpendicular to y = 4x + 8 and passes through (−8, 4).
y equals negative one-fourth times x minus 7
y equals negative one-fourth times x plus 2
y = 4x + 24
y = 4x + 36
Answer:
[tex]y=-\frac{1}{4}x+2[/tex]
Step-by-step explanation:
Perpendicular lines have slopes thst are negative reciprocals, so the slope of the line to be found is -1/4.
Substituting into point-slope form, the equation is [tex]y-4=-\frac{1}{4}(x+8)[/tex].
Rearranging into slope-intercept form,
[tex]y-4=-\frac{1}{4}(x+8) \\ \\ y-4=-\frac{1}{4}x-2 \\ \\ y=-\frac{1}{4}x+2[/tex]
Bronze is an alloy made of copper and tin. the ratio of copper to tin is 23 to 2, if a bronze statue weighs 50kg what is the mass of copper in the statue
STEP BY STEP AND URGENT
Answer:46kg
Step-by-step explanation:
23+2=25
50/25=2
2x23=46kg
Answer:
46 kg
Step-by-step explanation:
Ratio of copper to tin in the bronze alloy is 23:2
That means, as a ratio of the entire brass mass, the copper content is in the ratio of 23/(23 + 2) = 23/25
Since the mass of the bronze statue is 50 kg, the mass of copper in it must be 50 x 23/25 = 46 kg
The remaining kg (2/25 of 50 kg) is tin
2y + k = 6y - ky; y please solve this
Answer:
[tex]y=-\frac{k}{-4+k}; k \neq 4[/tex]
Step-by-step explanation:
2y + k = 6y - ky; solve for y
2y = 6y - ky - k (Subtraction Property of Equality)
2y - (6y - ky) = 6y - ky - k - (6y - ky) (Subtraction Property of Equality)
-4y + ky = -k (Simplify)
y(-4 + k) = -k (Factor)
[tex]\frac{y(-4+k)}{-4+k}=\frac{-k}{-4+k}: k\neq 4[/tex] (Division Property of Equality)
[tex]y=-\frac{k}{-4+k}; k \neq 4[/tex] (Simplify)
The value of y is k/ (4- k).
What is algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them. Variables are the name given to these symbols because they lack set values. We frequently observe constant change in specific variables in our day-to-day situations. But the need to depict these shifting values is ongoing. These values are frequently represented in algebra by symbols such as x, y, z, p, or q, and these symbols are known as variables. In order to determine the values, these symbols are also subjected to different addition, subtraction, multiplication, and division arithmetic operations.
Given:
2y + k = 6y - ky
Now, solving for y
2y -6y + ky = -k
-4y + ky= -k
y( k-4) = -k
y = -k/(k -4)
y= k/ (4- k)
Hence, the value of y is k/ (4- k).
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What is the opposite of each number?
Drag the answer into the box to match each number.
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
0.005
12
0
−2
Answer:
0.1 == -0.1
1/7 == -1/7
10 == -10
-7 == 7
Step-by-step explanation:
I took the test
The opposite of the numbers 0.005, 12, 0, -2 are -0.005, -12, 0, 2 after changing the sign of the number.
What is the number?A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.
It is given that:
The numbers are:
0.005, 12, 0, -2
As we know, from the definition of the number, a number is a mathematical entity that can be used to count, measure, or name things.
The opposite of any number can be obtained by changing the sign of the number.
The opposite of the number 0.005 is -0.005
The opposite of the number 12 is -12
The opposite of the number 0 is 0
The opposite of the number -2 is 2
Thus, the opposite of the numbers 0.005, 12, 0, -2 are -0.005, -12, 0, 2 after changing the sign of the number.
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pls helppp!!!
1. Give an example of discrete data that might consist of some decimal numbers.
2. Give an example of continuous data that might not have any numbers with fractional parts
The discrete data might consist of number of legs, number of teeth. The continuous data might consist the length of tail, and the height of dog.
What is discrete data?The discrete data is a data whose value is obtained by counting and they can be described by an integer value. Those random variables, who take only distinct values, are called discrete random variables.
Consider the provided information; Something that will never change
So, the discrete data might consist of number of legs, number of teeth.
A continuous data is defined as a variable whose value is obtained by measuring.
The continuous data might consist the length of tail, and the height of dog.
The continuous variables are random variables, who take any value from a given continuous interval of real numbers.
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What is the slope of the line that passes through the points (-4, 6) and
(-4, 18)?
The slope of the line passing from the two points is found as infinity.
What is meant by slope of the line?The slope of the line is a measurement of its steepness and direction. Any 2 separate points on a line can be used to calculate the slope of that line. The slope of the a line formula computes the "vertical change" to "horizontal change" ratio between two distinct points along a line.For the given question;
The two passing points of the line is given as;
(x1, y1) = (-4, 6)
(x2, y2) = (-4, 18)
The formula for calculating the slope is;
Slope = m = (y2 - y1)/(x2 - x1)
Put the values.
m = (18 - 6)/ (- 4 + 4)
m = 12/0
m = ∞
It means, the line is parallel to the x axis.
Thus, the slope of the line passing from the two points is found as infinity.
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Avery is the oldest of four siblings whose ages are consecutive odd integers. If the sum of their ages is 112, find Avery's age.
Four siblings whose ages are consecutive odd integers. If the sum of their ages is 112 then The eldest sibling is 31, followed by siblings 29, 27, and 25.
What is consecutive integers ?
Consecutive means in order. Integers are a collection of whole integers and their antipodes, such as -3, -2, 1, 0, 1, 2, 3, etc.
Let x = the 1st sibling
Let x -2 = the second sibling
Let x -4 = the third sibling
Let x-6 = the fourth sibling.
If you add the four siblings together they equal 112
(x) +(x-2)+(x-4)+(x-6) = 112 Combine like terms
4x - 12 = 112
add 12 from both sides
4x - 12 + 12 = 112 + 12
4x = 124
divide 4 both side :
x = 31
The eldest sibling is 31, followed by siblings 29, 27 and 25
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which show a way to factor 14+35
Answer: The common factors of 14 and 35 are 7, 1, intersecting the two sets above. In the intersection factors of 14 ∩ factors of 35 the greatest element is 7. Therefore, the greatest common factor of 14 and 35 is 7.
Step-by-step explanation:
Make sure you ans
1. A cell phone company offers two texting plans. People who use plan A pay 20 cents for each text sent or received. People who
use plan B pay 14 dollars per month, and then pay an additional 8 cents for each text sent or received.
question
a. Write an inequality to represent the fact that it is cheaper for someone to use plan A than plan B. Use x to represent the number
of texts they send.
b. Solve the inequality.
hey you man what are you going here go to there
Once a large pink ribbon, the sign of the fight against breast cancer, was erected out of pink post-it notes on a billboard. If the area of the rectangular billboard covered by the ribbon was approximately
3705 square feet, and the width of the billboard was approximately 57 feet, what was the height of this billboard?
Answer:
65 feet
Step-by-step explanation:
[tex]3705=57h \\ \\ h=\frac{3705}{57}=65[/tex]
could i get some help
last one got deleted
[tex]~\hspace{7em}\textit{rational exponents} \\\\ a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n} ~\hspace{10em} a^{-\frac{ n}{ m}} \implies \cfrac{1}{a^{\frac{ n}{ m}}} \implies \cfrac{1}{\sqrt[ m]{a^ n}} \\\\[-0.35em] ~\dotfill\\\\ \left( 4^{\frac{2}{5}} \right)^{\frac{1}{4}}\implies 4^{\frac{2}{5}\cdot \frac{1}{4}}\implies 4^{\frac{1}{10}}\implies \sqrt[10]{4^1}\implies {\Large \begin{array}{llll} \sqrt[10]{4} \end{array}}[/tex]
phyllis invested 9,500, a portion earning a simple interest rate of 91/5% per year and the rest earning a rate of 9% per year. After one year the total interest earned on these investments was 870.00. how much money did she invest at each rate?
Answer:
See below
Step-by-step explanation:
x = amount at 9.2 % interest = .092 x
(9500 -x) = amount at 9% interest = .09 ( 9500-x) summed, they = 870
.092x + .09 ( 9500-x) = 870
x = 7500 then the other amount at 9 % is 2000
|-2+2|-2
Wouldn’t this be -2
Answer:
yes correct ^ ^
Step-by-step explanation:
This question is a bit confusing
(EASY POINTS)
After reviewing the image I know its an expansion and that the top negative answers are incorrect. Its either C or D
Answer:
Its C
Step-by-step explanation:
Please helppp :)
Create a table of data for two different linear functions. The table should use the same values of x for both functions. Based on your table, will the graphs of these two functions intersect? Explain your answer
The following data table for two distinct linear functions utilizing identical x values for both functions is displayed:
[tex]\begin{tabular}{|c|c|c|}$\mathrm{x}$ & $\mathrm{y}=2 \mathrm{x}+7$ & $\mathrm{y}=-\mathrm{x}+4$ \\$-3$ & $2(-3)+7=-6+7=1$ & $-(-3)+4=3+4=7$ \\$-2$ & $2(-2)+7=-4+7=3$ & $-(-2)+4=2+4=6$ \\$-1$ & $2(-1)+7=-2+7=5$ & $-(-1)+4=1+4=5$ \\0 & $2(0)+7=0+7=7$ & $-(0)+4=0+4=4$ \\1 & $2(1)+7=2+7=9$ & $-(1)+4=-1+4=3$ \\2 & $2(2)+7=4+7=11$ & $-(2)+4=-2+4=2$ \\3 & $2(3)+7=6+7=13$ & $-(3)+4=-3+4=1$\end{tabular}[/tex]
The table demonstrates that the function y = 2x + 7 and the function y = -x + 4 both have values of 5 for x = -1.
As a result, the two functions' graphs will intersect at (1, 5)
First of all, we create 2 LINEAR function, i created the function f(x)=2x+5 and the function h(x)=3x+2, both are linear(without a quadratic term). Then
Choose a group of x values before creating the table. Add each x value from the left side column to the equation. To find the y value, evaluate the equation (middle column). Since the table of values really only contains x and y pairs, you can choose to omit the middle column from your table as an optional step.
you replace the x for a number:
Table 1 (F(X)=2X+5) Table 2 (H(X)=3X+2)
X=1----->Y=2+5=7 X=1------>Y=3·1+2=5
X=2---->Y=2·2+5=9 X=2----->Y=3·2+2=8
X=3---->Y=3·3+5=11 X=3----->Y=3·3+2=11
With both tables of data we can see that in the X=3/Y=11 point this two linear functions will intersect so the answer is that the two functions will intersect at (3,11)----->(X,Y)
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Show the relationship between -5/6 and -7/10. Use an inequality symbol
[repost]
The rational numbers - 5 / 6 and - 7 / 10 are equivalent to - 25 / 30 and - 21 / 30, respectively. Then, the relationship is that - 5 / 6 is the less than - 7 / 10 as - 25 < - 21.
What is the relationship between two rational numbers?
Rational numbers are real numbers of the form m / n, where m and n are integers and n is not zero. In this problem we need to determine the relationship between two rational numbers, this can be done by amplifying the two rational numbers to a form with the same denominator and then compare the two numerators.
First, find the least common multiple of the two denominators:
6 = 2 × 3
10 = 2 × 5
L.C.M. = 2 × 3 × 5 = 30
Second, amplify each rational number:
- (5 × 5) / (6 × 5) = - 25 / 30
- (7 × 3) / (10 × 3) = - 21 / 30
Third, compare the numerators of the fraction found in the previous step:
Since - 25 < - 21, then - 5 / 6 < - 7 / 10.
To learn more on rational numbers: https://brainly.com/question/17450097
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