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mafiozo [28]
3 years ago
6

Be sure the answer is reduced.

Mathematics
1 answer:
morpeh [17]3 years ago
7 0
Answer is (45-25s^2)/(9s^2+6s-45)
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The question on the bottom
TEA [102]

Answer:

9th grade student=33.3%, unit 7=45%

Step-by-step explanation:

5 0
3 years ago
Solve 2x+y=2x please answer for me
Natasha_Volkova [10]
You must equal zero, so that way 2x can equal 2x
4 0
3 years ago
A café owner is designing a new menu and wants to include a decorative border around the outside of her food listings. Due to th
kipiarov [429]

The 13-in. by 9-in. rectangle where the food listings fit has an area of 13 in. * 9 in. = 117 in.^2

Adding 48 in.^2 for the border, the total area of the menu with the border will be 117 in.^2 + 48 in.^2 = 165 in.^2

The border has to have uniform width around the menu. We need to find the width of the border. Let the border be x inches wide. Then since you have a border at each of the 4 sides, the border will add 2x to the length of the rectangle and 2x to the width of the rectangle. The menu will have a length of 2x + 13 and a width of 2x + 9. The area of the larger rectangle must by 165 in.^2. The area of a rectangle is length times width, so we get our equation:

(2x + 13)(2x + 9) = 165

Multiply out the left side (use FOIL or any other method you know):

4x^2 + 18x + 26x + 117 = 165

4x^2 + 44x + 117 = 165

4x^2 + 44x - 48 = 0

Divide both sides by 4.

x^2 + 11x - 12 = 0

Factor the left side.

(x + 12)(x - 1) = 0

x + 12 = 0 or x - 1 = 0

x = -12 or x = 1

The solution x = -12 is not valid for our problem because the width of a border cannot be a negative number. Discard the negative solution.

The solution is x = 1.

Answer: The border is 1 inch wide.

Check. Add 2 inches to the length and width of the food listings rectangle to get 15 inches by 11 inches. A = 15 in. * 11 in.= 165 in.^2. Now subtract the area of the border, 48 in.^2, 165 in.^2 = 48 in.^2 = 117 in.^2, and you get the area of the 13-in. by 9-in. rectangle. This shows that our solution is correct.

6 0
3 years ago
Read 2 more answers
Mark buys Apple stock for $100 and its value increases by a factor of 1.5 each week. Which equation represents the relationship
Bingel [31]

Given:

Initial value of the stock = $100

Growth factor = 1.5 each week.

To find:

The equation that represents the relationship between the number of weeks past since purchase and the current value of the stock.

Solution:

Let V be the current value of the stock after t week.

The exponential growth model is:

V=ab^t

Where, a is the initial value of stock, b is the weekly growth factor, t is the number of weeks.

Substituting a=100,b=1.5, we get

V=100(1.5)^t

Therefore, the required equation for the given situation is V=100(1.5)^t.

3 0
3 years ago
You babysit to make a little extra money. You charge $12 an hour and earned $180 by the end of the month. How many hours did you
BabaBlast [244]

Answer:

The equation is 12x=180. You worked for 15 hours.

Step-by-step explanation:

Do 12x=180 then divide by 12. You get x=180/12. Then simplify

4 0
2 years ago
Read 2 more answers
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