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mash [69]
2 years ago
12

Find the common difference of the arithmetic sequence 14,7,0 ....

Mathematics
1 answer:
ziro4ka [17]2 years ago
8 0

Answer:

Step-by-step explanation:

the formula for common difference is

d = aₙ - aₙ₋₁

So,

d = a₂-a₁ = a₃-a₂

d =7-14 & d=0-7

d = -7    & d = -7

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Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
ddd [48]

Answer:

f'(x) = 4x^2 - 3 for x \le -3

Step-by-step explanation:

See attachment for proper question

Given

f(x) = -\frac{1}{2}\sqrt{x + 3}

For

x \ge -3

Required

Determine the inverse function

f(x) = -\frac{1}{2}\sqrt{x + 3}

Replace f(x) with y

y = -\frac{1}{2}\sqrt{x + 3}

Swap the positions of x and y

x = -\frac{1}{2}\sqrt{y + 3}

Multiply both sides by -2

-2 * x =-2 *  -\frac{1}{2}\sqrt{y + 3}

-2x =\sqrt{y + 3}

Square both sides

(-2x)^2 =(\sqrt{y + 3})^2

4x^2 =y + 3

Make y the subject

y = 4x^2 - 3

The inverse has been solved. So, we need to replace y with f'(x)

f'(x) = 4x^2 - 3

Next, is to determine the interval

x \ge -3

Change inequality to \le

x \le -3

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f'(x) = 4x^2 - 3 for x \le -3

7 0
2 years ago
T is the midpoint of rq if r=12 t=-3 what is q
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A pan of lasagna cut into 100 servings is equally shared among a group of people. For Exercises
Volgvan

53).  100 servings / 20 people  =  (100/20) (svngs/ppl)

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         Each person gets 1/20 = 5% = 0.05 of the pan.


54).  100 servings / 40 people  =  (100/40) (svngs/ppl)

                                                 = 2.5 servings per person.

         Each person gets  1/40 = 2.5% = 0.025 of the pan.


55).  100 servings / 30 people  =  (100/30) (svngs/ppl) 

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         Each person gets  1/30 = (3 and 1/3) % = 0.0333... of the pan.
 
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2 years ago
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