Use the commutative property to write an equivalent expression to 4g + 13, and show that they are equivalent for g = 10 and g = 2. Complete the statements. If you change the order of the terms you can create the equivalent expression . After substituting 10 for g, the expressions are and . After substituting 2 for g, the expressions are 4(2) + 13 and 13 + 4(2). The expressions are equivalent because they both have a value of when g = 10 and a value of when g = 2.

Hey there!

Yes

Is 4 - 4x and 4(1 - x) equivalent expressions? Why or why not?

If you want to know whether they are equivalent, let's first find the value of both of them.

[tex]4-4x[/tex]

[tex]-4x+4[/tex]

[tex]4(1-x)[/tex]

Let's add parenthesis to 4 and (1-x) and add negative to x.

[tex](4)(1+-x)[/tex]

Now separate all with parenthesis.

[tex](4)(1)+(4)(-x)=4-4x\\-4x+4(ANSWER)[/tex]

Since both had the same value, they are equivalent.

Hope this helps!

[tex]\text {-TestedHyperr}[/tex]

Answer:

x=150

Step-by-step explanation:

40+(x-20)+(x-10)+1/3x=360 add all like terms

x=150

Answer:

It has three sides

Step-by-step explanation:

Common sense

Answer:

The properties in a right triangle include

-one 90 degree angle

-the two angles that are not the right angle (90 degree angle) will always be acute angles

-the hypotenuse can easily be found by using the Pythagorean Theorem (a squared plus b squared equals c squared

-it has three sides

-it has three angles

Answer:

1 st car is your answer to the question

Answer:

x=22

Step-by-step explanation:

X²=484

x=√484

x=22

Answer:

Step-by-step explanation:

x^2 = 484

√x²  - √484

x = 22

Answer:

{ (-2,2) , (0,2) , (7,2) , (11,2) }

Step-by-step explanation:

Your x variable cannot repeat.

Answer:

the answer would be

B.) 4/10 6/15 8/20

hope that helps

Answer:

im assuming this is what you mean considering the little information given.

Step-by-step explanation:

Answer:

The square root of a positive number can be a negative or positive value.

Step-by-step explanation:

Answer:

j

Step-by-step explanation:

Answer:

The coordinates of S is (-2,2)

Answer:

answer is 5

Step-by-step explanation:

I used a calculator

Answer:

g(x) = -|x|

Step-by-step explanation:

f(x) = |x|

y = −f(x)  Reflects it about x-axis

g(x) = -|x|

We start off with: f(x) = |x|

Reflection across x-axis

y = -f(x)

After: g(x) = -|x|

Best of Luck!

Answer:

See attachment for the figures drawn for each question.

10. x = 3; AB = 11

11. x = 2; AB = 6

Step-by-step explanation:

10. AC = 10x + 2

AB = 2x + 5

BC = 4x + 9

AB + BC = AC (segment addition postulate)

(2x + 5) + (4x + 9) = 10x + 2 (substitution)

The equation above is what we would use to solve the problem as follows:

2x + 5 + 4x + 9 = 10x + 2

Combine like terms

6x + 14 = 10x + 2

6x - 10x = -14 + 2

-4x = -12

Divide both sides by -4

x = 3

AB = 2x + 5

Plug in the value of x

AB = 2(3) + 5 = 6 + 5

AB = 11

11. AB = 3x

BC = x - 6

AC = 8x - 14

AB + BC = AC (segment addition theorem)

3x + (x - 6) = 8x - 14 (substitution)

Use the equation to solve for x as follows:

3x + x - 6 = 8x - 14

Collect like terms

4x - 6 = 8x - 14

4x - 8x = 6 - 14

-4x = -8

x = 2 (dividing both sides by -4)

AB = 3x

AB = 3(2)

AB = 6

Answer:

4.53 * 10⁹

Step-by-step explanation:

4530000000 = 4.53 * 10⁹

Refrigerator 162$ and desk cost 54

Step-by-step explanation:

Answer:

132

Step-by-step explanation:

-3xy

x=11 and y = -4

= -3 *11*-4

-33 * -4

132

If x = 11 and y = -4

-3xy = -3 × 11 × -4

= -3 × -44

.... Hope this will help....

Answer:

a) 9.62m (3 s.f.)

b) 2.58m (3 s.f.)

Step-by-step explanation:

Please see attached picture for full solution.

Answer:

Kenneth: 12 years old

Randy: 48 years old

Step-by-step explanation:

For this problem, we can use system of equations to solve. Let's use r for Randy and k for Kenneth.

Equation 1

r=4k

This equation comes from the first part, where Randy is four times as old as Kenneth.

Equation 2

r=36+k

This equation comes from the second part, where Randy is 36 years older than Kenneth.

Since we have r=, we can use substitution method.

4k=36+k                   [subtract both sides by k]

3k=36                       [divide both sides by 3]

k=12

Now that we have found k, we can plug that into any equation to find r.

r=4(12)                      [multiply]

r=48

Now, we know that Randy is 48 years old and Kenneth is 12 years old.

Answer:

8

Step-by-step explanation:

Do |7 - 9| first, and you get -2, however since it is absolute value, you use the positive version, making it two. Now you have 5|2|-2. Multiply 5*2=10. Then subtract 2.

Answer:

4) 5

Step-by-step explanation:

3x-x+2=12

First, you combine similar terms, so 3x-x which is 2x.

Second, you subtract 2 on both sides which is going to give you 2x=10.

Finally, you divide by 2 on both sides, so the final answer is going to be x=5.

Answer:

|-2y+5|=2|4y-1|

-2y+5=8y-2

-2y-8y=-2-5

-10y=-7

y=7/10

Step-by-step explanation:

Answer:

x= -2

Step-by-step explanation:

6x-3 = 5x-5

6x-5x=-5+3

x= -2

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Hope it helps.

Answer:

  20%

Step-by-step explanation:

The percentage change can be found from ...

  % change = ((new value)/(reference value) -1) × 100%

  = (240/200 -1) × 100%

  = 0.20 × 100%

  = 20%

240 is an increase of 20% from 200.

Answer:

80

Step-by-step explanation:

[tex] - 85 \div 20 = - 4 \frac{1}{4} = - 4.25[/tex]

[tex]100 \div 60 = \frac{5}{3} = 1 \frac{2}{3} [/tex]