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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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Let f(x) = x + 8 and g(x) = x2 − 6x − 7. Find f(g(2)). (1 point)
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f(x)=x+8
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2 years ago
A Chef prepares and evenly divides s ounces of beef stock into 3 smaller pans. The chef uses 8 ounces of beef stock form one of
saw5 [17]

Answer:

Thus, the equation hat correctly represents the number of ounces of beef stock, s, that the chef initially prepares.

⇒ \frac{s}{3}-8=34

The total number of ounces of beef stock = 126

Step-by-step explanation:

Given:

Total ounces of beef stock = s

The chef divided the beef stock  evenly into 3 smaller pans.

The chef then uses 8 ounces from one of the smaller pans.

Ounces of beef stock left in the smaller pan = 34

Solution:

Total ounces of beef stock = s

Ounces of beef stock in each smaller pan = \frac{s}{3}

Ounces of beef stock used by the chef from the smaller pan = 8.

The ounces of beef stock left in the smaller pan will be given as:

⇒ \frac{s}{3}-8

Ounces of beef stock remaining in smaller pan = 34

Thus, the equation hat correctly represents the number of ounces of beef stock, s, that the chef initially prepares.

⇒ \frac{s}{3}-8=34

Solving for s.

Adding 8 both sides.

⇒ \frac{s}{3}-8+8=34+8

⇒ \frac{s}{3}=42

Multiplying both sides by 3.

⇒ 3\times \frac{s}{3}=42(3)

∴ s=126

Thus, total number of ounces of beef stock = 126

8 0
3 years ago
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