X+4 over x^2-5x+6 ÷ x^2-16 over x+3

x =± 4

Step-by-step explanation:

Solve for x:

x^2 - 16 = 0

The left hand side factors into a product with two terms:

(x - 4) (x + 4) = 0

Split into two equations:

x - 4 = 0 or x + 4 = 0

Add 4 to both sides:

x = 4 or x + 4 = 0

Subtract 4 from both sides:

x =± 4

(x + 3) / (x - 2)(x - 3)(x - 4)

Step-by-step explanation:

The problem given can be viewed as

a/b over c/d

where a/b is the top fraction and c/d is the bottom fraction.

This can be rearranged to

a × d / b × c

So, you will have:

(x + 4)(x + 3) / (x² - 5x + 6)(x² - 16)

Now, factor the two bottom polynomials so you end up with:

(x + 4)(x + 3) / (x - 2)(x - 3)(x + 4)(x - 4)

Cancel the (x + 4) on the top and bottom so you’re left with the

(x + 3) / (x - 2)(x - 3)(x - 4)

If you need to find the solutions to x, set the denominator equal to zero.

x = 2

x = 3

x = 4

answer set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.  

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step-by-step explanation: