<span>a2 + 6a</span> + 6a + 36
a • (a+6)
6 • (a+6)
(a+6) • (a+6)
Multiply (a+6) by (a+6)
The rule says : To multiply exponential expressions which have the same base,<span> add up their exponents.</span>
The product is therefore, <span> (a+6)<span>(1+1)</span> = (a+6)2</span>
Final result :<span> -1 • (a + 6)<span>2</span></span>
Complete question :
Lower-than-expected demand for LCD TVs has spurred manufacturers to cut prices in recent years. The average price P of a 32-in. LCD TV t years after 2005 can be approximated by P(t) 1052(0.793), where t0 corresponds to 2005 a) What was the average price of an LCD TV in 2005? in 2009? in 2011?
Answer:
1052 ; 416.01 ; 261.61
Step-by-step explanation:
Given the price function :
P(t) = t0(0.793)^t
P(t) = 1052(0.793)^t
Price in 2005 = 1052
The average price of LCD in 2005 is t0
t - t0 = 2005 - 2005 = 0
P(0) = 1052(0.793)^0 ;
P(0) = 1052 * 1 =
Price in 2005 = 1052
Price in 2009 :
t = 2009 - 2005 = 4
P(t) = t0(0.793)^t
P(4) = 1052(0.793)^4
P(4) = 1052 * 0.39534 = 416.0145
Price of LCD in 2009 = 416.01
Price in 2011
t = 2011 - 2005 = 6
P(t) = t0(0.793)^t
P(6) = 1052(0.793)^6
P(6) = 1052 * 0.248679 = 261.6103
Price of LCD in 2009 = 261.61
Answer: 40
Step-by-step explanation:
Since 40 could be = 1 x 40, 2 x 20, 4 x 10, or 5 x 8.
The Factors of 40 will therefore be: 1, 2, 4, 5, 8, 10, 20, 40.
The Prime factor then is: 2, 2, 2, 5
Multiplying them together gives 40.
Answer:
D. 70
Step-by-step explanation:
if vx is bisector then 3z - 4 = z + 6 add like terms
2z = 10;and z = 5
To find the perimeter we add all side lengths
VU + UW + WV = 5z - 1 + 5z - 1 + 3z - 4 + z + 6 = 14z
we know z = 5 so 14 × 5 = 70
