9514 1404 393
Answer:
4) 6x
5) 2x +3
Step-by-step explanation:
We can work both these problems at once by finding an applicable rule.

where O(h²) is the series of terms involving h² and higher powers. When divided by h, each term has h as a multiplier, so the series sums to zero when h approaches zero. Of course, if n < 2, there are no O(h²) terms in the expansion, so that can be ignored.
This can be referred to as the <em>power rule</em>.
Note that for the quadratic f(x) = ax^2 +bx +c, the limit of the sum is the sum of the limits, so this applies to the terms individually:
lim[h→0](f(x+h)-f(x))/h = 2ax +b
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4. The gradient of 3x^2 is 3(2)x^(2-1) = 6x.
5. The gradient of x^2 +3x +1 is 2x +3.
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If you need to "show work" for these problems individually, use the appropriate values for 'a' and 'n' in the above derivation of the power rule.
Answer:
37.3 miles
Step-by-step explanation:
180 - 59.83 - 55.54 = 64.63°
39/sin64.63 = X/sin59.83
X = 37.3157217 miles
Answer:
x^2 - 9x + 20
Step-by-step explanation:
(x - 4)(x - 5) (have to do the opposite for it to be positive)
FOIL method: X x X = x^2
-5 x X = -5x
-4 x X = -4x
x^2 - 5x - 4x + 20
-5 - 4 = -9 so...
x^2 - 9x +20 is the answer
7) 2-3=-1 9) 6-9=-3
11) -3-4=-7 13) -7-6=-13
15)-3-9=-12 17) 6-(-2)=8
19)3-(-5)=8 21) 5-(-8)=13
23)-2-(-1)=-1 25) -10-(-4)=-6
27)-6-(-5)=-1 29) -8-(-6)=-2
31)5-(-3)=8 33) 7-10=-3
35)-2-5=-7 37) -9-(-4)=-5