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Dominik [7]
2 years ago
14

Simplify the expression given below.

Mathematics
1 answer:
trasher [3.6K]2 years ago
5 0

Answer:

A) 1/(3x+1)

Step-by-step explanation:

(x+2)/(x³+2x²-9x-18)÷(3x+1)/(x²-9)

(x+2)/(x+2)(x+3)(x-3)÷(3x+1)/(x+3)(x-3)

since it’s dividing by a fraction, invert and multiply

(x+2)/(x+2)(x+3)(x-3) times (x+3)(x-3)/(3x+1)

The (x+2)’s cancel out.

The (x+3)’s cancel out.

The (x-3)’s cancel out.

You are left with 1/(3x+1)

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2 years ago
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14. The area of a rectangle is 375 square inches and it’s perimeter is 80 inches. Find both the length and width.
Pavel [41]

Answer:

Length  =25 inches

Width = 15 inches

Step-by-step explanation:

Let l = length of rectangle, w = width of rectangle

Given the area and the perimeter of the rectangle, we can write:

lw = 375

2l+2w=80

So:

l+w = 80\div2

=40

l=40-w

Now, we can use substitution to find the value of w:

lw = 375

(40-w)w = 375

40w-w^2 = 375

375+w^2-40w = 0 (Quadratic equation)

(w-15)(w-25) = 0

∴ w = 15, 25

We can use substitution again to find the value of l

lw = 375

l=375\div w

=25,15

∵ Length usually refers to the longer side of a rectangle, ∴ length =25 inches and width =15 inches.

Hope this helps :)

8 0
3 years ago
amina bought an air cooler for a AED 3300 including VAT of 5% find the price of the air cooler before VAT was added
wlad13 [49]

Answer:

$3142.86

Step-by-step explanation:

3300 --> 105%

x --> 100%

criss cross method

x=330000/105

x=3142.86

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3 years ago
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written answer in the picture

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