The answer is <span>a.)(x - 4)2 = 3.
(x - a)</span>² = b can be expressed as:
x² - 2ax + a² = b ⇒ x² - 2ax + a² - b = 0
Our equation is x² - 8x + 13 = 0.
The general formula is x² - 2ax + (a² - b) = 0
Thus:
8x = 2ax and a² - b = 13
Divide both sides of the first equation (8x = 2ax) by x:
8 = 2a ⇒ a = 8 ÷ 2 = 4
Replace a in the second equation (a² - b = 13):
4² - b = 13 ⇒ b = 4² - 13 = 16 - 13 = 3
Now when we have a and b, let's just replace them in the general equation:
(x - a)² = b
(x - 4)² = 3
Answer:
- a) $56000
- b) DA = 2, GA = 10
Step-by-step explanation:
<u>Given</u>
- DA = A + B ⇒ $3000
- GA = A + 2B ⇒ $5000
- Number of A = 12
- Number of B = 22
<u>We can see from the equations that</u>
- GA - DA = B ⇒ $2000 and
- A = $1000 and B = $2000 in terms of profit
<u>So greater use of unit B brings greater profit. We don't want any unit is left over, so get this equation.</u>
Is the equation set to indicate use of the units A and B
<u>Solving we get </u>
<u>It this case all the units are used and profit is maximum</u>
- 2*$3000 + 10*$5000 = $56000
- Number of DA = 2
- Number of GA = 10
Answer:
each pair of distinct vertices we connect them up with
a line segment. There are (8 2 )=28 such line segments.
Step-by-step explanation:
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