What would be the third step in simplifying the expression 4 2 ÷ (2 · 9) + 5?

1 answer:

8 0

P
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okay since the first step is parenthesis, the next step would be exponents but you have none so you skip to multiplication, then you divide

divide is your answer

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1) Solve the following system of equations algebraically. Give your solution as two

Bad White [126]

For this case we have the following system of equations:

$y = x ^ 2 + 7x + 12\\y = 2x + 8$

Equating both equations we have:

$x ^ 2 + 7x + 12 = 2x + 8\\x ^ 2 + 7x-2x + 12-8 = 0\\x ^ 2 + 5x + 4 = 0$

We must find the solutions, for this we factor. We look for two numbers that, when multiplied, result in 4 and when added, result in 5. These numbers are 4 and 1:

$4 + 1 = 5\\4 * 1 = 4$

Then, the factorized equation is of the form:

$(x + 4) (x + 1) = 0$

Thus, the solutions are:

$x_ {1} = - 4\\x_ {2} = - 1$

We look for solutions for the variable "y":

$y_ {1} = 2 (-4) + 8 = -8 + 8 = 0\\y_ {2} = 2 (-1) + 8 = -2 + 8 = 6$

Thus, the system solutions are given by: $(x_ {1}, y_ {1}): (- 4,0)\\(x_ {2}, y_ {2}): (- 1,6)$

ANswer:

$(x_ {1}, y_ {1}): (- 4,0)\\(x_ {2}, y_ {2}): (- 1,6)$

8 0

3 years ago

A package of 3 shirts costs $12.90. If every shirt costs the same, how many shirts can be purchased for $55.90

Serggg [28]

Answer:

13 shirts

Step-by-step explanation:

First you try to find the amount for one shirt by dividing $12.90 by 3 which equals $4.30. Then you try to find the amount of shirts for $55.90 by dividing 55.90 by 4.30 which results into the final answer 13.

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3 years ago

Solve The Following <br> ( Solving equations)

kondaur [170]

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2 years ago

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If some one can bike 32 miles in 160 minutes how long will it take them to go 1 mile

Leto [7]

5 minutes

32/160 = 0.2 mile/min

0.2x = 1

0.2x/0.2 = 1/0.5

x = 5

5 minutes

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