I must assume you mean:
[(x^2 - 4) / (x - 8)] / [x - 2] -----> express this way:
[(x^2 - 4)] / [(x - 8)(x - 2)]
But x^2 - 4 = x^2 - 2^2, which is a difference of squares: a^2 - b^2 = (a + b)(a - b) ----->
[(x + 2)(x - 2)] / [(x - 8)(x - 2)] -----> (x - 2) gets cancelled out ----->
(x + 2) / (x - 8)
<span>That's your answer. I hope this helps
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% means per 100
so when figuring out percents it's good to use 100
so
on $100 7% would mean $7
on $50 7% would mean $3.5
in $200 7% would mean $14
The Pyth. Thm. applies here:
(√x + 1)^2 + (2√x)^2 = (2√x + 1 )^2
Expanding the squares:
x + 2sqrt(x) + 1 + 4x = 4x + 4sqrt(x) + 1
Let's subtract x + 2sqrt(x) + 1 + 4x from both sides:
4x + 4sqrt(x) + 1
-(x + 2sqrt(x) + 1 + 4x)
-------------------------------
3x + 2sqrt(x) - 4x = 0
Then 2sqrt(x) = x
Squaring both sides, 4x = x^2, or x^2 - 4x = 0. Then (x-4)x = 0, and the two possible solutions are 0 and 4.
Check these results by substitution. Does the Pyth. Thm. hold true for x=4?
Answer:
Step (2) is incorrect.
Step-by-step explanation:
The area of a rectangle is given by :
A = length × width
Area = 8+12x
Width = 4
Step 1: 8 + 12x
Step 2: 4(2) + 4(3x)
Step 3: 4(2 + 3x)
Step 4: Dimensions of the rectangle are 4 and 2 + 3x.
It means he has done a mistake in step (2). The correct step should be 4(2) + 4(3x).
The general form of a quadratic equation is that which is expressed in a form,
ax² + bx + c = 0
To write the equation in its general form, eliminate the decimal by multiplying the equation by 10. It now becomes,
3x² + 50x - 70 = 0
The value of b is therefore 50 and the answer is the second choice.
