MATHEMATICS HIGH SCHOOL

The length of the sides of a square are s inches long. A rectangle is six inches shorter and eight inches wider than the square. Express both the length and the width of the rectangle as a function of a side of the square. a) Rectangle width is s + 8 and length is s - 6 b) Rectangle width is s - 8 and length is s + 6

Answers

Answer 1
Answer:

Answer:

HI,

Answer A

Step-by-step explanation:
Answer 2
Answer:

Final answer:

The rectangle has a length s - 6 and width s + 8 in terms of the side length s of the square.

Explanation:

The length of the sides of a square is s inches. The rectangle is six inches shorter and eight inches wider than the square. To express the length and width of the rectangle as a function of the side of the square:

Length of the rectangle = Length of the square - 6 = s - 6

Width of the rectangle = Width of the square + 8 = s + 8

Therefore, the correct expression for the length and width of the rectangle is: a) Rectangle width is s + 8 and length is s - 6

Learn more about Expressing rectangle dimensions as a function of square side length here:

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Jess observed that 60% of the people at a mall on a particular day shopped for clothes. If 2500 people at the mall did not shop for clothes that day, the number of people who shopped for clothes that day was ______. (only put numeric values, no other symbols)

Answers

The 2500 people that did not shop for clothes that day accounts for 40% of the total people present in the mall. The total number of people present at the mall that day is the quotient obtained when 2500 is divided by 40% which is 6250. Since the number of people who shopped for clothes that day is 60% of the total number of people, multiply 6250 by 60%. This gives an answer of 3750.

Therefore, there are 3750 people who shopped for clothes that day. 

Answer:

3750

Step-by-step explanation:

In a group of 50 patrons, 12 patrons like lattes, 11 patrons like espressos, and 6 patrons like both coffee drinks. How many patrons don't like either of the coffee drinks?

Answers

There will be 21 patrons that don't like either of the coffee drinks.

A company makes and sells charm bracelets. The cost of producing x bracelets is represented by the functionC(x) = 180 + 8x. The revenue earned from selling x bracelets is represented by the function R(x) = 20x.
Write and simplify a function P that represents the profit made from selling x bracelets.
How many bracelets must the company sell to break even?

Keep answer simple

Answers

Answer:

the company must sell 15 bracelets to break even.

Step-by-step explanation:

To find the profit made from selling x bracelets, we need to subtract the cost of producing x bracelets from the revenue earned from selling x bracelets.

The cost of producing x bracelets is given by the function C(x) = 180 + 8x.

The revenue earned from selling x bracelets is given by the function R(x) = 20x.

To find the profit, we subtract the cost from the revenue: P(x) = R(x) - C(x).

Substituting the given functions:

P(x) = 20x - (180 + 8x).

To simplify the expression, we combine like terms:

P(x) = 20x - 180 - 8x.

Simplifying further, we combine the x terms and the constant terms:

P(x) = 12x - 180.

So, the function P(x) represents the profit made from selling x bracelets: P(x) = 12x - 180.

To find the number of bracelets the company must sell to break even, we set the profit (P(x)) equal to zero, since profit is zero at the break-even point:

12x - 180 = 0.

Adding 180 to both sides of the equation:

12x = 180.

Dividing both sides by 12:

x = 15.

Find the slope of the line between y = 1/8x -1

Answers

Answer:

x/8 -1

Step-by-step explanation:

Need help in this question please show work along with answer

Answers

                              (x² - y²)² + (2xy)² = (x² + y²)²
                     (x² - y²)(x² - y²) + 2x²y² = (x² + y²)(x² + y²)
            x²(x² - y²) - y²(x² - y²) + 2x²y² = x²(x² + y²) + y²(x² + y²)
x²(x²) - x²(y²) - y²(x²) + y²(y²) + 2x²y² = x²(x²) + x²(y²) + y²(x²) + y²(y²)
                x⁴ - x²y² - x²y² + y⁴ + 2x²y² = x⁴ + x²y² + x²y² + y⁴
                       x⁴ - 2x²y² + y⁴ + 2x²y² = x⁴ + 2x²y² + y⁴
                       x⁴ - 2x²y² + 2x²y² + y⁴ = x⁴ + 2x²y² + y⁴
                                              x⁴ + y⁴ = x⁴ + 2x²y² + y⁴
                                            - x⁴         - x⁴
                                                     y⁴ = 2x²y² + y⁴
                                                   - y⁴              - y⁴
                                                      0 = 2x²y²
                                                      2       2
                                                      0 = x²y²
                                                      0 = xy

I didn't find the answer to the problem.

Someone help me with this algebra 2 question

Answers

We know that if Two Complex Numbers (p + qi) and (a + bi) are said to be Equal then (p = a) and (q = b)

Given : (2x + 5) + (1 - y)i = -3 - 4i

⇒ 2x + 5 = -3

⇒ 2x = -3 - 5

⇒ 2x = -8

⇒ x = -4

Option 2 is the Answer

2x + 5 + i - yi = -3 - 4i

2x - yi = -8 - 5i

2x = -8 - 5i - yi

2x = -8 -i(5-y)

2(-4) = -8 -i(5-y)

0 = -i(5-y)

0 = 5 - y

-y = -5

y = 5

If x = -4, y is a real number.
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