MATHEMATICS HIGH SCHOOL

A contractor pays 25% more to a male worker than what he pays to the female worker. How much percent less does the contractor pay to the female worker than the male worker ?​

Answers

Answer 1
Answer:

Answer:

25% less.

Step-by-step explanation:

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10+(-3.5)x2+(-9)/(-3)

Answers

I simplified and I got -3.5x^2+13

Find the range of f(x) = 5 - |x - 4|.

Answers

Y is less than or equal to 5.

Final answer:

The range of the absolute value function f(x) = 5 - |x - 4| is (-∞ , 5] because the function will always be less than or equal to 5, but there's no lower limit as the function will decrease indefinitely as |x - 4| increases.

Explanation:

The function given is f(x) = 5 - |x - 4|, which represents an absolute value function. The range of a function refers to the possible values of f(x) or y in the function. In general, the absolute value function has a range of all non-negative numbers. However, because the function is subtracted from 5, the values of this particular function will decrease as x moves away from 4, in either direction.

Therefore, the maximum value of the function occurs when the absolute value equals to zero (i.e., x = 4), then f(x) = 5 - 0 = 5. As you move away from 4, the absolute value increases and thus subtracts more from 5, making f(x) smaller. So, f(x) will always be less than or equal to 5, but there is no lower limit, as the function will continue to decrease indefinitely as |x - 4| increases. Hence the range of the function f(x) = 5 - |x - 4| is (-∞ , 5].

Learn more about Range of Function here:

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The Wilsons have triplets and another child who is fifteen years old. The sum of the ages of their children is 36. How old are the triplets?

Answers

the answer is 37-10=27/3=9

Answer:

7

Step-by-step explanation:

The Wilsons have triplets and another child who is 15. Since their ages all add up to 36, we can first start off with subtracting 15 from 36.

36 - 15 = 21

Now we can divide the amount we have from the rest amount of kids, since they are triplets, they are 3:

21 / 3 =

7

The area of a bathroom floor measures 2 yards by 3 yards and each custom tile that makes up the flooring is 1 1/2 square feet. How many tiles are needed to cover the floor?

Answers

The dimensions of the bathroom floor is given as 2 yards by 3 yards.
Then
The area of the bathroom floor in question = (2 * 3) square yards
                                                                     = 6 square yards
We already know that
1 square yard = 9 square feet
So
The area of the bathroom floor in question = (6 * 9) square feet
                                                                     = 54 square feet
Area covered by each custom tiles = 11/2 square feet
Then
Number of tiles required to cover the bathroom floor = 54/(11/2)
                                                                                     = (54 * 2)/11
                                                                                     = 108/11
                                                                                     = 9.81
So the number of tiles required to cover the bathroom flooring is 10. Since fraction of tiles cannot be bought, so 10 tiles are required.

Which equation is quadratic in form?6(x + 2)2 + 8x + 2 + 1 = 0
6x4 + 7x2 – 3 = 0
5x6 + x4 + 12 = 0
x9 + x3 – 10 = 0

Answers

Answer:

Option A is correct

Step-by-step explanation:

We have been given four equations and we need to tell which one of them is quadratic

Case1:

6(x+2)^2+8(x+2)+1

In this we will use the formula (a+b)^2=a^2+b^2+2ab

Here, a=x and b=2

The equation will become 6(x^2+2^2+4x)+8x+16+1

Hence, after simplification equation will become

6x^2+24+24x+8x+16+1

6x^2+32x+41 which is a quadratic equation because quadratic equation is the equation is the equation which has degree 2.

In this equation degree is 2 hence, quadratic

Case2:

6x^4+7x^2-3  is not quadratic since, degree in this equation is 4 not 2

Hence, biquadratic not quadratic

Case3:

5x^6+x^4+12 is not a quadratic equation since, degree in this equation is 6.

Hence, not quadratic

Case4:

x^9+x^3-10 is not quadratic since, degree in this equation is 9

Hence, not quadratic

Therefore, Option A is correct
A quadratic equation is a polynomial with an order of two. Its general form is ax² + bx + c = 0. From the choices given, the first option seems to be the quadratic equation. Simplifying the equation gives 6x² + 18x + 27 = 0. 

Andrew makes $6 an hour plus $9 an hour for every hour of overtime. Overtime hours are any hours more than 40 hours for the week.Part A: Create an equation that shows the amount of wages earned, W, for working x hours in a week when there is no overtime. (3 points)

Part B: Create an equation that shows the amount of wages earned, S, for working y hours of overtime. Hint: Remember to include in the equation the amount earned from working 40 hours. (3 points)

Part C: Andrew earned $330 in 1 week. How many hours (regular plus overtime) did he work?

Answers

Part A ) The equation is W = $ 6x where x ≤ 40, W is the amount of wage earned and x hours in a week when there is no overtime. 

Part B) The equation is W = $ 6*40 + $9 y =$ 240 + $9 y where y as the overtime hours = total number of hrs - 40. 

Part C) $ 240 + $9 y = $330. y is 10 hrs. Hence the total hours is 50 hrs. 
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