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3 years ago

Which equation is an identity?

Mathematics

2 answers:

irinina [24]3 years ago

7 0

The equation that represents an identity is <span>
3w + 8 – w = 4w – 2(w – 4). w = 8</span>

3241004551 [841]3 years ago

5 0

Answer:

The correct option is 2.

Step-by-step explanation:

The equations that are true for any value of the variable, no matter what value is plugged in for the variable, then they are called Identity equations.

The first equation is

$7m-5=8m+7-m$

$7m-5=7m+7$

Subtract 7m from both the sides.

$-5=7$

This statement is false for any value of m. Therefore this is not an Identity equation.

The second equation is

$3w+8-w=4w-2(w-4)$

Using distributive property,

$2w+8=4w-2w+8$

$2w+8=2w+8$

$0=0$

This statement is true for any value of w. Therefore this is an Identity equation.

The third equation is

$9-(2v+3)=-2v-6$

$9-2v-3=-2v-6$

$-2v+6=-2v-6$

$6=-6$

This statement is false for any value of v. Therefore this is not an Identity equation.

The fourth equation is

$-3y+3=-3y-6$

Add 3y on both the sides.

$3=-6$

This statement is false for any value of y. Therefore this is not an Identity equation.

Hence the correct option is 2.

You might be interested in

Solve x2 − 10x = −13.

aev [14]

Answer:

Step-by-step explanation:

First, let's rearrange the given equation into something more recognizable. If we add 13 to both sides, we now have the polynomial $x^{2}-10x+13$ . We can now use the quadratic formula to solve.

Remember that the quadratic formula is

$\frac{-b+/-\sqrt{b^{2}-4ac } }{2a}$

Substitute the numbers from the equation into the formula.

$\frac{-(-10)+/-\sqrt{(-10)^{2}-4(1)(13) } }{2(1)}$

Simplify:

$\frac{10+/-\sqrt{100-52} }{2}$

$\frac{10+/-\sqrt{48} }{2}$

Here, I'm going to assume that there was a mistype in option B because if we divide out the 2 we end up with $5+/-\sqrt{48}$ .

Hope this helps!

6 0

2 years ago

Which expressions equals 9^3 sqrt 10

matrenka [14]

5^3 Sartre 10 + 4^3 sqrt 10

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3 years ago

15% of 20 is ____ find the percentage of the number

Aliun [14]

The answer is 3, just do 20*0.15 (covert 15% into a decimal).

6 0

3 years ago

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What is the ratio of 4 and 2

Bas_tet [7]

2:1 or 2

Step-by-step explanation:

8 0

2 years ago

James determined that these two expressions were equivalent expressions using the values of x = 4 and x = 6. Which statements ar

GarryVolchara [31]

Answer:

When x=2, both expressions have a value of 18.

The expressions have equivalent values for any value of x.

The expressions have equivalent values if x=8

Step-by-step explanation:

James determined that these two expressions were equivalent expressions using the values of x = 4 and x = 6. Which statements are true? Check all that apply. 7 x + 4 and 3 x + 5 + 4 x minus 1

When x = 2, both expressions have a value of 18.

7x + 4

= 7(2) + 4

= 14 + 4

= 18

3x + 5 + 4x - 1

3(2) + 5 + 4(2) - 1

6 + 5 + 8 - 1

= 18

The expressions are only equivalent for x = 4 and x = 6.

• This is not true because the expression is also equivalent for x = 2

The expressions are only equivalent when evaluated with even values.

When x = 1

7x + 4

7(1) + 4

= 7 + 4

= 11

3x + 5 + 4x - 1

3(1) + 5 + 4(1) - 1

3 + 5 + 4 - 1

= 11

The expressions have equivalent values for any value of x.

Yes, it has an equivalent value at any value of x

The expressions should have been evaluated with one odd value and one even value.

When x = 0, the first expression has a value of 4 and the second expression has a value of 5.

7x + 4

7(0) + 4

= 0 + 4

= 4

3x + 5 + 4x - 1

3(0) + 5 + 4(0) - 1

0 + 5 + 0 -1

= 4

The expressions have equivalent values if x = 8.

7x + 4

7(8) + 4

56 + 4

= 60

3x + 5 + 4x - 1

3(8) + 5 + 4(8) - 1

24 + 5 + 32 - 1

= 60

6 0

3 years ago

Read 2 more answers