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

Which equation represents the same proportional relationship as the graph?
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Answers

Answer:

On a coordinate plane, a line goes through points (0, 0), (5, 3), (10 ...

Step-by-step explanation:

On a coordinate plane, a line goes through points (0, 0), (5, 3), (10, 6) is

y = 3/5x

and, x y = 3/5

What is Proportion?

In general, the term "proportion" refers to a part, share, or amount that is compared to a total.

According to the concept of proportion, two ratios are in proportion when they are equal.

Two ratios or fractions are equal when an equation or a declaration to that effect is utilised.

A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.

Here the given three points are (0, 0), (5, 3), (10, 6).

So, equation of the line passing through the points (0, 0), (5, 3) is

y- 0/ (x-0)= (3-0)/(5-0)

y/ x = 3/5

y= 3/5x

Learn more about Proportion here:

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Rectangle ABCD with coordinates A(1, 1), B(4, 1), C(4, 2), and D(1, 2) dilates with respect to the origin to give rectangle A'B'C'D'. If = 6, what is the scale factor of the dilation? A. 6 B. 3 C. 2 D. E. 4

Answers

Answer:

A.

Step-by-step explanation:

Answer:

Answer is C. (2)

for PLATO

Step-by-step explanation:

A'B' = 2 * AB

Therefore, the dilation factor is 2.

Three salesmen work for the same company, selling the same product. And, although they are all paid on a weekly basis, each salesman earns his paycheck differently.

Salesman A works strictly on commission. He earns $65 per sale, with a maximum weekly commission of $1,300.

Salesman B earns a weekly base salary of $300, plus a commission of $40 per sale. There are no limits on the amount of commission he can earn.

Salesman C does not earn any commission. His weekly salary is $900.

Suppose Salesmen A and B have the same number of sales and earn the same amount in Week 4 of this month. How many sales must they both have had?

sales

Answers

Answer:

12 sales

Step-by-step explanation:

a and b

65 per sale maximum commision 1300 so no base

40 per sale base 300

Set up equation:

[tex]65x=40x+300[/tex]

Solve:

[tex]25x=300[/tex]

[tex]x=12[/tex]

So they must have had 12 sales.

Hope this helps :D

6x - 3 = 3( 2x - 1 ) what is the answer need it fast please and thank you

Answers

Answer:

Any number for x will work

Step-by-step explanation:

6x-3=3(2x-1)

expand

6x-3=6x-3

add three to both sides

6x=6x

simplify

x=x

Therefore any number for x will work

Answer:

x=x

Step-by-step explanation:

6x-3=3(2x-1)

Used Distributive property to 3(2x-1)

6x-3=6x-3

Add 3 to both sides:

6x=6x

Divide 6 from both sides:

x=x

∠A and \angle B∠B are vertical angles. If m\angle A=(3x+26)^{\circ}∠A=(3x+26) ∘ and m\angle B=(x+20)^{\circ}∠B=(x+20) ∘ , then find the value of x.

Answers

Answer:

The value of x is -3

Step-by-step explanation:

The vertical angles are equal in measures

∵ ∠A and ∠B are vertical angles

→ By using the rule above

m∠A = m∠B

∵ m∠A = (3x + 26)°

∵ m∠B = (x + 20)°

→ Equate their measures

3x + 26 = x + 20

→ Subtract x from both sides

∵ 3x - x + 26 = x - x + 20

∴ 2x + 26 = 20

→ Subtract 26 from both sides

∵ 2x + 26 - 26 = 20 - 26

∴ 2x = -6

→ Divide both sides by 2

∵ [tex]\frac{2x}{2}[/tex] = [tex]\frac{-6}{2}[/tex]

x = -3

The value of x is -3

need help if you can....​

Answers

Answer:

40, 80, 120

Step-by-step explanation:

0, 40, 80, 120, 160, 200

+40

Answer:

0, 40, 80, 120, 160, 200

Step-by-step explanation:

The numbers are decreasing by 40. 200-160=40. Therefore, we need to subtract 40 each time from every number we get.

160-40=120

120-40=80

80-40=40

Now, plug the numbers into the sequence. It should now look like this:

0, 40, 80, 120, 160, 200

I hope this helps you out!! Have a great day, and if you need any more help, let me know (✿◠‿◠)

The Hu family goes out for lunch, and the price of the meal is $42. The sales tax on the
meal is 6%, and the family also leaves a 20% tip on the pre-tax amount. What is the
total cost of the meal?

Answers

Answer:

The total cost of the meal was $52.92.

Step-by-step explanation:

Find the amount of tax:

[tex]42 * 0.06 = 2.52[/tex]

Find the amount of tip:

[tex]42 * 0.20 = 8.4[/tex]

Add the cost of the meal, tax and tip to find total cost:

[tex]42 + 2.52 + 8.4 = 52.92[/tex]

A plane flies at an altitude of 3.5 kilometers and then starts to descend when it is 60
kilometers from the runway. What is the angle of depression for the descent of the plane?
Round to the nearest degree.

Answers

Answer:

Angle of depression = 3.37°

Step-by-step explanation:

We are told that A plane flies at an altitude of 3.5 kilometers and then starts to descend when it is 60

kilometers from the runway.

I've attached an image of a triangle depicting this question.

From the triangle, we can find the angle of depression θ from trigonometric ratio since it's a right angle triangle.

Thus;

3.5/60 = tan θ

tan θ = 0.0583

θ = tan^(-1) 0.0583

θ = 3.37°

f/13 = 6.2 what is the value of f

Answers

Answer:

The value of f is 80.6.

Step-by-step explanation:

We are given the equation and asked to solve for f.

If we are given a fraction with a variable in the numerator, we can multiply both sides of the equation by the denominator to isolate it.

For example, if you look at this equation:

[tex]\displaystyle\frac{a}{26}=17.9[/tex]

We can multiply both sides by 26 to get the a by itself so the equation can be solved.

[tex]\displaystyle26\times\frac{a}{26}=17.9\times26\\\\a = 465.4[/tex]

Therefore, we can apply this same technique to the equation [tex]\frac{f}{13}=6.2.[/tex]

[tex]\displaystyle\frac{f}{13}=6.2\\\\13\times\frac{f}{13}=6.2\times13\\\\f = 80.6\ \text{or} \ \frac{403}{5}[/tex]

Therefore, the value of f is 80.6.

Answer:

f = 80.6

Step-by-step explanation:

Multiply both sides by 13.

f /13 =6.2

( f /13 )*(13)=(6.2)*(13)

f = 80.6

2b-m=5 what is the solution for m

Answers

Answer:

m = -5 + 2b

Step-by-step explanation:

2b - m = 5

-2b    -2b

-m = 5 - 2b

-1         -1

5 ÷ -1 = 5

-2b ÷ -1 = 2b

m = -5 + 2b

Your friend claims the measure of an exterior angle will always be greater than the sum of the nonadjacent interior angles measures. Is your friend correct> Explain your reasonings. ​

Answers

Answer:

your friend is wrong

Step-by-step explanation:

There is a theorem in geometry called the Exterior Angle Theorem which was developed by Euclid (Greek mathematician that lived in Alexandria around 300 B.C.) that states that the exterior angle of a triangle will always equal the sum of the 2 nonadjacent interior angles.

If you look at the attached image, °d = °a + °c

PLEASE HELP DUE TODAY !

Eight bags of chips and four sodas cost $5. Four bags of chips and eight sodas costs
$7. How much does a bag of chips cost? How much does a soda cost?

Answers

Answer:

let x be chips and y be sodas

8x + 4y = 5 ---> for the first hint

4x + 8y = 7------> second hint

0.25 cents is how much chips costs

and 0.75 cents is how much sodas costs

Answer: Each bag of chips is $0.25, each soda is $0.75.  

(0.25 x 8) + (0.75 x 4) = 5

2 + 3 = 5

(0.25 x 4) + (0.75 x 8) = 7

1 + 6 = 7

Is it possible for two numbers to have the same LCM and GCD? Explain. ​

Answers

Answer:  HCF and LCM of two numbers can be same only if two numbers are equal. Hence their difference will be zero

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

it just is

PLZ HELP ASAP 30 POINTS!!! write the equation of the line in standard form and slope-interpret form.
standard form:
slope-interpret form:

Answers

standard form: 3x-y= -3
slope intercept: 3x + 3

PLEASE HELP!!Choose the slope and y-intercept that
correspond with the graph.

Answers

the answer is -1/3 y-incercept= -1

Answer:

The first one

Step-by-step explanation:

It’s y intercept is 1 and the slope is 1/3 because it goes up one and to the left 3 . I know it’s negative because it’s going down to the right.

What is the sum of the rational expression below? 3x/x+2 + x/x+4
A. 4x^2 +14x/x^2 + 6x + 8
B. 4x/2x + 6
C. 3x^2/x^2 + 8
D. 4x^2 + 4x +8/x^2 + 6x +8

Answers

The sum of the rational expression is (4x²+14x)/ (x²+6x+8)

How to find the sum of the rational expression?

A rational expression is an expression that is the ratio of two polynomials. For example, the expression (x^2 + 2x + 1) / (x + 1) is a rational expression. The numerator and denominator can have different degrees and the expression can be simplified if there is a common factor.

To find the sum of the rational expression 3x/(x+2) + x/(x+4). First, find the LCM of (x+2) and (x+4), which is (x+2)(x+4):

3x/(x+2) + x/(x+4) = [3x(x+4) + x(x+2)] / (x+2)(x+4)

                             = [3x²+12x + x²+2x] / (x²+4x+2x+8)  

                             = (4x²+14x)/ (x²+6x+8)

Learn more about rational expression on:

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Which relation is a function?(click all that apply)

Answers

Answer:

Step-by-step explanation:

y=2x+1

y=x^2

The other one isn't a function because it won't pass the vertical line test. You can not use the same X in a function.

The members of a crew team can weigh no more than 165 pounds each. Write an INEQUALITY for the acceptable weights. Graph the solutions.

Answers

Answer:

shut up b

sorry gad will elp you

Step-by-step explanation:

Original price: $264.91
Markdown: 79%
The sale price is $

Answers

264.91 times .79 is 209.2789
Subtract 209.2789 from 264.91 is 55.6311
The sale price is $55.63

The area of a circle is 25pie in.2. What is it’s radius?

Answers

The area of a circle is PI x r^2

25PI = PI x r^2

Divide both sides by PI:

25 = r^2

Take the square root of both sides:

Radius = 5 inches.

Answer:

5 is the radius.

Step-by-step explanation:

Since the formula for area in a circle is [tex]\pi r^{2}[/tex], we can substitute 25 for r squared.

Since 25 is equal to r squared, it means that r is equal to 5.

5 is the radius.

#teamtrees #WAP (Water And Plant)

Delta owns a D.C. 10 airplane that has seats for 318 people. The company flies this airplane only if there are at least 96 people on the plane. Write a compound inequality to show the possible number of people on a Delta flight. Let n represent the amount of people.

Answers

Answer: n greater than or equal to 96 or n is greater than or less than 318

Step-by-step explanation:

Brainliest plz

If m varies directly as v² and m =3, when v=2, calculate the value of m when v=9

Answers

Answer:

m=243/4 when v=9.

Step-by-step explanation:

We know that when y varies directly with x², the formula of direct proportion is

y=kx²

where 'k' is the constant of variation.

so

As m varies directly with v², and m=3 when v=2

m=kv²

k=m/v²

 = 3/(2)²

  =3/4

Hence, k=3/4

so when v=9 then the expression becomes

m=kv²

substituting v=9 and k=3/4

m= 3/4(9)²

   =3/4 × 81

    =243/4

Therefore, m=243/4 when v=9.

can u help me with my math

Answers

1b think

I am not sure

The Lugar family spends spring break camping. The campground charges a $5 entrance fee plus $10 per night to camp in the park. Which of the following graphs best represents the relationship between the number of nights the Lugar family camps and the cost?

Answers

Answer:

(0,5) , (1,15) , (2,25) , (3,35) , (4,45) {the cords for the answer because it might be different for you. Also this is not a straight line they are dots.

Step-by-step explanation:

For one night, you have to pay $5 for an entry fee, and $10 for a night. Which means its $15 for one night. This increases every night.

pls help ASAP will give brainlist

Answers

Answer:

The length of each side of the base must be 6.

Step-by-step explanation:

Total volume = 396

Volume = Length x width x height

We know height = 11

So,

11 x Length x Width = 396

396 / 11 = 36

Length x Width = 36

This is a square prism so all sides of base are equal.

Length = 6

Width = 6

And therefore all the other sides of the base are also 6.

1 pol
2. *
2. Jerome bought 6 pounds of apples for $0.99 per pound. How
much did he pay for the apples?
A $6.99
B. $5.94
C. $5.01
D. $8.15
A
B
С
D

Answers

He paid 6.99 because each pound cost 0.99

Answer:

B. $5.94

Step-by-step explanation:

challenge: if you can answer these you are genius

(4 x 6) x 2 =

8 x (7 x 3) =

(10 x 5) x 8 =

(9 x 2) x 7 =

(6 x 1) x 8 =

(7 x 11) x 2 =

5 x (9 x 6) =

4 x (12 x 3) =

Answers

1) 48
2) 168
3) 400
4) 126
5) 48
6) 154
7) 270
8) 144

Answer:

1. 48

2. 168

3. 400

4. 126

5. 48

6. 154

7. 270

if f(x) = 4x+3, find f-1 (x)

Answers

Answer: x=1/4y + -3/4

Step-by-step explanation:

The strength of magnetic field inside a
long current carrying straight solenoid is

Answers

Answer:

Sorry i have forgotten about this, sorry i couldn't answer this

Combine like terms to simplify each expression.
1) -3x + 7x

Answers

Answer:

4x

Step-by-step explanation:

-3x + 7x

(-3 + 7)x

4x

Answer:

4x

Step-by-step explanation:

to make it easier, remove the x:

-3+7

Add:

4

Put the X back:

4x

This method will not always work for every problem.

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