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Lynna [10]
3 years ago
7

Simplify the fraction below leaving your answer as a fraction where both the numerator and denominator are positive integers. 3⁹

÷3⁵÷9³×3​
Mathematics
1 answer:
Vaselesa [24]3 years ago
6 0

Answer:

1/27

Step-by-step explanation:

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Given the quadratic equation below, determine which situation it could represent? x2 -4x = 60
yarga [219]

Answer:

The solution is x = 10 and x = -6. This quadratic could be represented in factored form as (x - 10)(x + 6) or on a graph with x-intercepts at (10,0) and (-6,0).

Step-by-step explanation:

To solve the quadratic, write the quadratic in standard form and factor the equation.

x² - 4x = 60

x² - 4x - 60 = 0

(x - 10)(x + 6) = 0

x = 10 and x = -6

4 0
3 years ago
The area of a room is 600 square feet. The length is (x + 5) feet and the width is (x + 4) feet. Find the dimensions of the room
tangare [24]
I'm going to assume that the room is a rectangle.

The area of a rectangle is A = lw, where l=length of the rectangle and w=width of the rectangle. 

You're given that the length, l = (x+5)ft and the width, w = (x+4)ft. You're also told that the area, A = 600 sq. ft. Plug these values into the equation for the area of a rectangle and FOIL to multiply the two factors:
A = lw\\
600 = (x+5)(x+4)\\
600 =  x^{2} + 9x + 20


Now subtract 600 from both sides to get a quadratic equation that's equal to zero. That way you can factor the quadratic to find the roots/solutions of your equation. One of the solutions is the value of x that you would use to find the dimensions of the room:
600 = x^{2} + 9x + 20\\
x^{2} + 9x - 580 = 0\\
(x + 29)(x - 20) = 0\\
x + 29 = 0, \:\: x - 20 = 0\\
x = -29, x = 20

Now you know that x could be -29 or 20. For dimensions, the value of x must give you a positive value for length and width. That means x can only be 20. Plugging x=20 into your equations for the length and width, you get:
Length = x + 5 = 20 + 5 = 25 ft.
Width = x + 4 = 20 + 4 = 24 ft.

The dimensions of your room are 25ft (length) by 24ft (width).
8 0
3 years ago
Read 2 more answers
HELPPPPPPPPPPPPMEEEEEEE
Alexus [3.1K]

Answer:

I'm pretty sure it is 21

4 0
3 years ago
Find the inverse of y=1/2x+6. Show steps
soldi70 [24.7K]

Answer:

y = 2x - 12

Step-by-step explanation:

To find the inverse of a function, you switch x and y and solve for y.

x = 1/2 y + 6                 switch x and y

x - 6 = 1/2 y                  subtract 6 from both sides

2x - 12 = y                    multiply both sides by 2

7 0
3 years ago
Valdez Company opened a special checking account. The charge for each check written was either $.55 or a $6-a-month minimum serv
masha68 [24]

Valdez Company opened a special checking account. The charge for each check written was either $.55 or a $6-a-month minimum service charge (whichever is greater). At the beginning of the month, the company checkbook balance was $695.18. Valdez Company wrote 14 checks totaling $312.88. Deposits of $188.10 and $195.10 were made during the month. What's Valdez's checkbook balance to start the next month (including the cost of check writing)?

6 0
2 years ago
Read 2 more answers
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