Answer:
- 8x^3+1 ⇒ (2x+1)(4x^2−2x+1)
- 2x^4+16x ⇒ 2x(x+2)(x^2−2x+4)
- x^3+8 ⇒ (x+2)(x^2−2x+4)
Step-by-step explanation:
The factoring of the sum of cubes is ...
a³ +b³ = (a +b)(a² -ab +b²)
1. a=2x, b=1
= (2x)³ + 1³
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2. There is an overall factor of 2x. Once that is factored out, a=x, b=2.
= (2x)(x³ +2³)
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3. a=x, b=2
= x³ +2³
124 tickets sold at $9.20 = $1140.80
124÷4 =31
31 tickets sold at $5.30 = $164.30
$1140.80+$164.30=$1305.10
so so if you take the 124 tickets and divide it by 4 you get 31. The answer is 31 rickets were sold that day.
In a scientific notation, you have to put a decimal right after the first number (unless it is a zero). How many times you move the decimal from its original spot determines the answer. If you move the decimal
forward that means you put a
negative number
<span>
0.00000123 = 1.23 (moved the decimal point
forward 6 times, so the answer is --->)
</span>
<span>
</span>
If x = 1.5 is the only solution to the equation 4x² - ax + b =0 then
4x² - ax + b = 4(x - 1.5)² |use p² - 2pq + q² = (p - q)²
4x² - ax + b = 4(x² - 2x · 1.5 + 1.5²)
4x² - ax + b = 4(x² - 3x + 2.25)
4x² - ax + b = 4x² - 12x + 9 |subtract 4x² from both sides
-ax + b = -12x + 9
therefore
-a = -12 ⇒ a = 12 and b = 9
