How do you know whether an ecuation is an identity? How many solutions does an identity have? Explain

Choose the correct answer below

O, A. An equation is an identity w it can be rewitten as an equation of the form"variable = ruumiker, such as x=5 or y=3. Such an equation has an infinite

number of solutions because a variable can be any number

OB. An equation is an idersity it can be rewritten as an equation of the form "variable = number," such as x=5 or y=3. Such an equation has only one solution,

and the solution is called the identity of the variable

OC. An equation is an identity #it can be rewritten as 0-0. Such an equation has only one solution, 0, and that is the identity of the variable

OD. An equation is an identity if it can be rewritten as 0 =0. Such an equation has an infinite number of solutions because it reduces to a true statement

regardless of the value of the variable

Answers

Answer 1

Answer: D. An equation is an identity if it can be rewritten as 0 =0. Such an equation has an infinite number of solutions because it reduces to a true statement regardless of the value of the variable.

Step-by-step explanation:

For an identity equation ; The value on the right and left hand side of the equation are equal :

Left hand side = Right hand side

The solution to an identity solution is infinite because the equation holds true for every value substituted for the variable.

Hence, for every value substituted in for the variable in the equation, the equation is a true statement.


Related Questions

Liam and Sam shared a chocolate bar. Liam ate 3/5 and Sam ate 4/10. Who ate more? How much more?

Answers

Liam ate 6/10, so 2/10 more.

Answer:

liam ate more . he ate 1/5 parts more

please help me this question​

Answers

Answer:  (b) 48 cm

==========================================================

Explanation:

Divide the perimeter of the square over 4 to get the side length s.

s = P/4

s = 48/4

s = 12

The side length of the square is 12 cm. This leads to an area of...

A = s^2

A = 12^2

A = 144

The area of the square is 144 square cm.

The rectangle is 4 cm^2 less than the square's area, so we know the rectangle has area 144-4 = 140 cm^2.

If the length of the rectangle is 14 cm, then the width must be

W = A/L

W = 140/14

W = 10

This is a 14 cm by 10 cm rectangle (note how 14*10 = 140)

The last step is to compute the perimeter of the rectangle

P = 2(L+W)

P = 2(14+10)

P = 2*24

P = 48

You can use the formula P = 2L+2W, but it's effectively the same thing.

The perimeter of the rectangle is 48 cm.

is 3x-2>1 a strict inequality

Answers

Answer:

Inequalities involving the symbol '>' or '<' are called strict inequalities.

Step-by-step explanation:

Hope this helped!

Can someone help me with part b on this question please?

Answers

9514 1404 393

Answer:

  12.0 cm

Step-by-step explanation:

The Pythagorean theorem applies:

  (12 cm)² +b² = (17 cm)²

  b² = (289 -144) cm² = 145 cm²

  b = √145 cm ≈ 12.04 cm

  b ≈ 12.0 cm . . . . rounded to 1 decimal place

A rhombus is graphed
on the set of axes below.

Answers

Answer:

Step-by-step explanation:

reflection over y-axis

Option A is correct, 180 degree rotation counter clockwise about the origin is transformation which would carry the rhombus onto itself.

We need to consider the properties of a rhombus and how each transformation affects its shape and orientation.

A rhombus is a quadrilateral with all four sides of equal length. It also has opposite angles that are congruent. Based on this information, we can analyze each transformation option:

180-degree rotation counterclockwise about the origin is a transformation would preserve the shape and size of the rhombus since a 180-degree rotation does not change the lengths of the sides or the angles.

Therefore, it is a possible transformation that carries the rhombus onto itself.

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When graphing inequalities, where can the solutions be found?

Answers

Solutions will be located in the shaded region. Since this is a “less than” problem, ordered pairs on the boundary line are not included in the solution set. These values are located in the shaded region, so are solutions. (When substituted into the inequality x–y<3.

When solving systems of inequalities, the solutions are the regions where all the inequalities are true and will be represented by the intersection of the shaded areas.

What is inequality?

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

When graphing inequalities, the solutions can be found on the side of the number line or the coordinate plane where the inequality is true.

For example, if the inequality is x > 3, the solutions would be all the values of x that are greater than 3. These solutions would be represented by shading the area to the right of line x = 3 on the coordinate plane.

Similarly, if the inequality is y < 2, the solutions would be all the values of y that are less than 2. These solutions would be represented by shading the area below the line y = 2 on the coordinate plane.

It's important to note that when solving systems of inequalities, the solutions are the regions where all the inequalities are true and will be represented by the intersection of the shaded areas.

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can u help me with my math

Answers

1b think

I am not sure

What is 400,000 in scientific notation?
O A) 40 x 104
OB) 400 x 103
OC) 4 x 106
OD) 4 x 105

Answers

Answer:

4 x 10⁵

so that i think will be OD)

What is the solution of 2.4x+2.6=17

Answers

Answer:

x=6

Step-by-step explanation:

the answer should be x=6

The triangle and the rectangle have the same area explain why

Answers

Answer:

w=2.5

Step-by-step explanation:

this is because to find the area of a triangle you have to multiply base times height divided by 2 therefore if you want the rectangles have the same area of the triangle the with must be 2.5 this way you will get the same area as the triangle

proof

5x6=30/2=15 area of the triangle

2.5x6=15

as you can see the triangle and the rectangle have the same area

therefore the width of the rectangle is 2.5

Which set of number is only made up of integers?
Negative 2 and StartFraction 4 Over 7 EndFraction, 0, Two-thirds, 4.6, 24
–7.6, 0, 4.ModifyingAbove 2 with bar, 16, 56
–33.3, –24, 1, 2 , 3
–23, –7, 5, 9, 190

Answers

Answer:

It is D (-23, -7, 5, 9, 190)

Step-by-step explanation:

:)

1. The length of the base of an isosceles triangle is y. The length of a leg is 3y+2. The perimeter of the triangle is 46. Find y.​

Answers

Step-by-step explanation:

Length of the base = y

Length of a side = 3y + 2

Length of the third side= 3y + 2 (Isosceles triangle)

Perimeter = Sum of all sides

46 = y + 3y + 2 + 3y + 2

46 = y + 2(3y +2)

46 = y + 6y + 4

46 = 7y + 4

46 - 4 = 7y

42 = 7y

42/7 = y

6 = y

Therefore, the length of the base is 6

5. (3x2 – 13x – 10) ÷ (x – 5)

Answers

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[tex]( 3 {x}^{2} - 13x - 10 ) \div (x - 5) = \\ [/tex]

[tex] \frac{3 {x}^{2} - 13x - 10 }{x - 5} = \\ [/tex]

[tex] \frac{(x - 5)(3x + 2)}{(x - 5)} = \\ [/tex]

[tex]3x + 2[/tex]

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Which of the following inequalities is correct?

-9 ≥ -7
-10 > |-10|
6 ≤ |-6|
0 < -13

Answers

Answer:

The last one

Step-by-step explanation:

Answer:6 should be right

Step-by-step explanation: since the absolute value of -6 is 6, it satisfies the equation

|-6|=6

6 is less than or EQUAL to 6

If you are making a scale drawing of a giraffe that is 6m tall, and the height of the giraffe in your drawing is 3cm, what is the scale of the drawing? Thank you and please explain how you obtained your answer.

Answers

Answer:

The scale would be 200

Step-by-step explanation:

If your giraffe is 3 cm and the scale drawing of the giraffe is 6m, in one meter, there are 100 cm, and 6/2=3 you multiply 2 by the 100 cm in the meter which gives you 200. You could also say 6m divided by 3cm which would also give you 200 or 600/300=200.

How to do this question plz answer ​

Answers

Answer:

a. 9 sides

b. 18 sides

c. 24 sides

d. 30 sides

Step-by-step explanation:

We can use the equation 180(n-2), which n is the number of sides to find the answer.

a. 180(n-2)=1260

n-2=7

n=9

b. 180(n-2)=2880

n-2=16

n=18

c. 180(n-2)=3960

n-2=22

n=24

d. 180(n-2)=5040

n-2=28

n=30

Answer:

a) 9 sides

b) 18 sides

c) 24 sides

d) 30 sides

Step-by-step explanation:

sum of interior angles = (n - 2) * 180

where n is the number of sides

a) 1260

(n - 2) * 180 = 1260

(n - 2) = 1260/180

(n - 2) = 7

n = 7 + 2

n =  9

b) 2880

(n - 2) * 180 = 2880

(n - 2) = 2880/180

(n - 2) = 16

n = 16 + 2

n =  18

c) 3960

(n - 2) * 180 = 3960

(n - 2) = 3960/180

(n - 2) = 22

n = 22 + 2

n = 24

d) 5040

(n - 2) * 180 = 5040

(n - 2) = 5040/180

(n - 2) = 28

n = 28 + 2

n = 30

Rewrite the following expression performing the subtraction.
(5c² - 3c + 9) - (2c²+ 8c - 3)
a) What did you need to distribute to the second polynomial to rewrite?

Perform subtraction. Then, answer:

b) How many terms? in the simplified expression

c) What is the leading coefficient of the simplified expression?

d) What is the degree of the simplified expression?

Answers

Answer:

a) [tex]3c^2-11c+12[/tex]

b) 3 terms in simplified expression

c) 3 is leading coefficient

d) 2 is the degree of simplified expression

Step-by-step explanation:

We need to perform subtraction of [tex](5c^2 - 3c + 9) - (2c^2+ 8c - 3)[/tex]

a) What did you need to distribute to the second polynomial to rewrite?

We need to multiply - sign with the terms inside the bracket.

Perform subtraction. Then, answer:

[tex](5c^2 - 3c + 9) - (2c^2+ 8c - 3)\\=5c^2 - 3c + 9 - 2c^2- 8c +3\\Combining \ like \ terms\\=5c^2-2c^2-3c-8c+9+3\\=3c^2-11c+12[/tex]

b) How many terms in the simplified expression?

There are 3 terms in the simplified solution [tex]3c^2-11c+12[/tex]

c) What is the leading coefficient of the simplified expression?

The leading coefficient is the coefficient with highest degree. The highest degree is 2 so, leading coefficient is 3

d) What is the degree of the simplified expression?

The highest degree is considered as the degree of simplified expression. In our case [tex]3c^2-11c+12[/tex] the highest degree is 2

Analyze the graph below by answering the questions. Describe the slope (+, - , change in values etc.) and what is the Y-intercept? How do you know?

Answers

Answer:

Step-by-step explanation:

The y-intercept is 3.

I know this because when x is 0 that is where the y-intercept is :)

what is the perimeter of this figure? (3.14 for pi)**round ur answer to the nearest whole number

Answers

nearest is 3.2 that is with whole bumber

Multiply. Write your answer as a fraction in simplest form.

2/15 x 9

Answers

The answer is 6/5!! Hope this helped! <3

The value of the fraction is 6/5

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number be = A

Now , the equation is expressed as

A = ( 2/15 ) x 9

On simplifying the equation , we get

A = 18/15

Dividing by 3 on the numerator and denominator , we get

A = 6/5

Therefore , the fraction in simplest form is 6/5

Hence , The value of the fraction is 6/5

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given g (x) =-5x-4, find g (x) = (1)

Answers

Answer:

The answer and work is both located in the screenshot provided!

Step-by-step explanation:

Hoped this helped!

It Snowed 2.91 inches in January, and it
snowed 6.76 inches in February. How
much did it snow altogether?

Answers

Answer:

9.67 inches altogether

Step-by-step explanation:

2.91 + 6.76 = 9.67

2.91

+6.76

--------------

 9.67

this is the correctanswer

simple explanations please! geometry ​

Answers

15=13
11x=12x-4
X= 4

Choose the best term from the box.Write it on the blank
equation
• exponent
• factor
• multiple
• power
• product

(n)__tells the number of times the base is used as a(n)__.
.
50 is a(n)___of 10 because 5 × 10 = 50

Answers

Answer:

Exponent tells the number of times the base is used as a(n) power.

50 is a(n) multiple of 10 because 5 × 10 = 50

Step-by-step explanation:

Easy and please choose mine was the most helpful. I want to get Brainliest.

Answer:

(n)_exponent_tells the number of times the base is used as a(n)_power_.

50 is a(n)__multiple_of 10 because 5 × 10 = 50

Step-by-step explanation:

exponent: This is the power to which a number is raised or the number of times it is multiplied by itself.

multiple: A Multiple of a number is that number times any whole number.

power: The number to which a base is raised is called the power. This tells you how many times to multiply the base together.

PLEASE HELP!! I have asked this many times with no answers I really need help.
What is the direction, y-intercept, and zeroes of f(x) = 4x^2 + 10x + 12.

Answers

I think to find the y-intercept, substitute 0 for x and sole for y. Y- intercepts (0, -12). The roots (zeroes) are the value where the graph intersects the x-axis. To find the the zeroes, replace y with 0 and solve for x. x = 3, -4. I’m sorry if this is wrong.

The direction of f(x) = 4x² + 10x + 12 is in upward direction.

y intercept of the f(x) is (0,, 12).

And number of zeros in f(x) is 2, at x = -5/4 + (√23 / 4)i  and  -5/4 - (√23 / 4)i.

What is function?

Function is a combination of different types of variable and constants in which for the different values of x the value of function y is unique.

The given function is,

f(x) = 4x² + 10x + 12.

The coefficient of x² is 4 which is positive, therefore, the graph is in the upward direction.

To find y intercept of the function,

Substitute x = 0, in the function,

f(x) = y = 4 (0)² + 10 (0) + 12

y = 12

The y intercept of the function is (0, 12).

To find the number of zeros, Substitute f(x) = 0,

Implies that,

4x² + 10x + 12 = 0

The values of x for the given quadratic equation are,

x =-5/4 + (√23 / 4)i and x =-5/4 - (√23 / 4)i

The number of zeros is two at -5/4 + (√23 / 4)i  and  -5/4 - (√23 / 4)i.

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Uh some math question..

Luis purchased 24 purple

plants and 8 pink plants.

He wants to plant them in

equal groups in his garden.

What is the largest number

of groups, he can make?

Answers

Answer: 8 groups is the largest number of groups he can make

Find the improper fraction that is equivalent to eight and five sixths

Answers

Answer:

53/6

Step-by-step explanation:

Write 36 as a Product of is prine
numbers
Write the factors in order, from smallest
to largest
36

Answers

Answer:

Step-by-step explanation:

Factors of 36 = 1 2 3 4 6 9 12 18 36

the Prime Factors of 36 are: 2, 2, 3, 3.

This is the answer

Answer:

36 = 2*2*3*3

or

2^2 * 3^2

Step-by-step explanation:

Break 36 into prime factors

36 = 6*6  

Since 6 isn't a prime number, factor 6

36 = 2*3   * 2*3

2 and 3 are prime numbers

In order from smallest to largest

36 = 2*2*3*3

or as exponents

36 = 2^2 * 3^2

12. Antara yang berikut, yang manakah terlibat dalam sistem mekanikal pintu gelangsar
automatik.


I Menerima dan menukar isyarat input dari alat kawalan jauh.
II Terdiri daripada takal dan tali sawat.
III Berfungsi untuk membuka dan menutup pintu.
IV Gear pada motor membantu pergerakan mudah.


A I, II, dan III
C I, III, dan IV
B I, II, dan IV
D II, III, dan IV​

Answers

B ..


............. bbbbbb

nancy has x coins. Bill has 9 coins fewer than five times the number of coins nancy has. Write and simplify an expression for the total number of coins and have.

Answers

Answer:

5x-9

Step-by-step explanation:

If Bill has 9 coins less then 5 times Nancy's coins, the number of his coins is 5x-9.

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