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8090 [49]
3 years ago
7

Bernard solved the equation 5x+(-4)=6x+4 using algebra tiles.Which explains why Bernard added 5 negative x-tiles to both sides i

n the first step of the solution ?
Mathematics
2 answers:
jok3333 [9.3K]3 years ago
8 0

Answer:

To remove 5x and create and linear equation

Step-by-step explanation:

5x+(-4)=6x+4

The equation can be solved by arranging terms so that numbers can be on one side and other constants will be on the other side.

This is given by the associative rule that states:

(-5x) + 5x + (-4) = 6x +4 - 5x

giving:

-4 = x + 4

this gives, x= -8

Hence a linear equation with a solution.

Volgvan3 years ago
6 0
5x+(-4)-5x=6x+4-5x
-4=x+4
x=-8

To get rid of 5x on the left side.
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Melanie's car used 9 ballons to travel 306 miles. How far can she travel on 11 gallons?
MAVERICK [17]
Melanie can travel 374 miles on 11 gallons. This is because when you divide 306 by 9 you get 34 so u multiply 34 by 11 and you get 374.
7 0
3 years ago
lim with x yields infinity below left parenthesis fraction numerator t left parenthesis 2 over denominator 2 end fraction s to t
Aleksandr [31]

Answer:

The vertical asymptotes are x=3 and x=-3. The horizontal asymptote is y=20.

Step-by-step explanation:

The given function is

Equate the denominator equal to 0, to find the vertical asymptotes.

Add 9 on both sides.

Taking square root on both sides.

Therefore the vertical asymptotes are x=3 and x=-3.

The given function can be written as

Degree of numerator and denominator are same.If degree of numerator and denominator are same, then horizontal asymptote is

Therefore the horizontal asymptote is y=20.

Step-by-step explanation:

Hope this helps:)

3 0
2 years ago
Read 2 more answers
Describe how (2 cubed) (2 superscript negative 4) can be simplified.
Varvara68 [4.7K]

<u>Given</u>:

The given expression is (2^3)(2^{-4})

We need to determine how the expression can be simplified.

<u>Simplifying the expression:</u>

Let us determine how the expression can be simplified.

The expression is given by

(2^3)(2^{-4})

Applying the exponent rule that a^{b} \cdot a^{c}=a^{b+c} in the above expression, we get;

2^{3} \cdot 2^{-4}=2^{3-4}

Adding the exponents, we get;

2^{3} \cdot 2^{-4}=2^{-1}

Again, applying the exponent rule a^{-1}=\frac{1}{a}, we get;

2^{3} \cdot 2^{-4}=\frac{1}{2}

Thus, the simplified expression is \frac{1}{2}

Hence, the expression is simplified by adding the exponents and keep the same base. Then find the reciprocal and change the sign of the exponent.

Therefore, Option D is the correct answer.

8 0
3 years ago
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Hello good day <br>can you help me please:(​
iVinArrow [24]

Answer:

31. A

32. D

33. B

4 0
1 year ago
Directions- Write a formula from the given day for each linear function Find the equation of the line parallel to 6x+3y-11=0, th
lukranit [14]

Answer:

y = -3x-1 or 3x + y = -1

Step-by-step explanation:

6x + 3y - 11 = 0 can be written as y = -3x + (11/3)

In parallel lines the slope remains the same but the constant changes. To find the constant you place in the cordinates for x and y.

5 = -3(-2) + b

5 = 6 + b

5 - 6 = b

-1 = b

Now you replace (11/3) by the new b, -1

y = -3x - 1

4 0
3 years ago
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