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2 years ago

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Mathematics

1 answer:

IceJOKER [234]2 years ago

6 0

Answer:

(12, -6)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Terms/Coefficients
Coordinates (x, y)
Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

-4x = y - 42

x = 18 + y

Step 2: Solve for y

Substitute in x: -4(18 + y) = y - 42
Distribute -4: -72 - 4y = y - 42
[Addition Property of Equality] Add 4y on both sides: -72 = 5y - 42
[Addition Property of Equality] Add 42 on both sides: -30 = 5y
[Division Property of Equality] Divide 5 on both sides: -6 = y
Rewrite/Rearrange: y = -6

Step 3: Solve for x

Define original equation: x = 18 + y
Substitute in y: x = 18 - 6
Subtract: x = 12

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Which is better: having a stock that goes up 30% on Wednesday than drops 20% on Thursday, or a stock

finlep [7]

Step-by-step explanation:

If the stock goes up 30%, it's multiplied by $1.3$ .

The reason is that $x + .3 \times x=1.3\times x$

If the stock goes down 20%, it's multiplied by $0.8$

The reason is that $x - .2 \times x = 0.8 \times x$

If the stock goes down 30%, it's multiplied by $0.7$

The reason is that $x - .3 \times x = 0.7 \times x$

If the stock goes up 40%, it's multiplied by $1.4$ .

The reason is that $x + .4 \times x=1.4\times x$

If you increase it by 30% and then drop it by 20%, it means you are multiplying it by $1.3$ and then multiplying it by $.8$ . In other words:

$1.3 \times 0.8=1.04$

So, the net gain is = .04

Assume the original value = 500

Increase it by 30% and it becomes 650

Decrease 650 by 20% and it becomes 520

So, the net gain = 20

Verification:

$500 \times .04=20$

And

If you drop it by 30% and then increase it by 40%, you are multiplying it by .7 and then multiplying it by 1.4. In other words:

$.7 \times 1.4=0.98$

So, the net loss is = 1 - 0.98 = .02

Assume the original value = 500

Decrease it by 30% and it becomes 350.

increase 350 by 40% and it becomes 490.

So, the net loss is = 10

Verification:

$500 \times .02=10$

Keywords: stock, loss, gain

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2 years ago

1. Find a if x³ + ax² - x -8 is divisible by x -1

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Answer:

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Step-by-step explanation:

x-1 = 0

x = 1

let x³ + ax² -x -8 be p(x)

hence, p(1) = (1)³ + a(1)² -1 -8 = 0 (since, x-1 is a factor)

= 1 + a - 1-8

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therefore, a = 8

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