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3 years ago

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Trevor is reading a book for a book report. Last week, he read 35 pages of his book. This week he read 2.5 times as many pages a

s he read last week. How many pages did he read this week

1 answer:

Svet_ta [14]3 years ago

3 0

Answer:85.5

Step-by-step explanation:

Use calculator

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consider the function and then use calculus to answer the questions that follow 1 1/x 5/x^2 1/x^3 (a) Find the interval(s) where

boyakko [2]

Answer:

a) $X=((-15-\sqrt{201},(-15+\sqrt{201}),(0,\infty)$

b) $Y=(\infty,\frac{1}{2}(-15-\sqrt{201} ) ),(\frac{1}{2}()-15+\sqrt{201)},0 )$

Step-by-step explanation:

From the question we are told that

The Function

$f(x)=1+\frac{1}{x} +\frac{5}{x^2} +\frac{1}{x^3}$

Generally the differentiation of function f(x) is mathematically solved as

$f(x)=1+\frac{1}{x} +\frac{5}{x^2} +\frac{1}{x^3}$

$f(x)=\frac{x^3+x^2+5x+1}{x^2}$

Therefore

$f'(x)=\frac{x^2+10x+3}{x^4}$

Generally critical point is given as

$f'(x)=0$

$\frac{x^2+10x+3}{x^4}=0$

$x=-5 \pm\sqrt{22}$

Generally the maximum and minimum x value for critical point is mathematically solved as

$f'(-5 \pm\sqrt{22})$

Where

Maximum value of x

$f'(-5 +\sqrt{22})$

Minimum value of x

$f'(-5 +\sqrt{22})$

Therefore interval of increase is mathematically given by

$f'(-5 -\sqrt{22}),f'(-5 +\sqrt{22})$

$f(x)$

Therefore interval of decrease is mathematically given by

$(-\infty,-5 -\sqrt{22}),f'(-5 +\sqrt{22},0),(0,\infty)$

Generally the second differentiation of function f(x) is mathematically solved as

$f''(x)=\frac{2(x^2+15x+6)}{x^5}$

Generally the point of inflection is mathematically solved as

$f''(x)=0$

$x^2+15x+6=0$

Therefore inflection points is given as

$x=\frac{1}{2} (-15 \pm \sqrt{201}$

$f''(x)>0,\frac{1}{2}(-15-\sqrt{201})$

a)Generally the concave upward interval X is mathematically given as

$X=((-15-\sqrt{201},(-15+\sqrt{201}),(0,\infty)$

$f''(x)$

b)Generally the concave downward interval Y is mathematically given as

$Y=(\infty,\frac{1}{2}(-15-\sqrt{201} ) ),(\frac{1}{2}()-15+\sqrt{201)},0 )$

5 0

3 years ago

How to complete the table?

Y_Kistochka [10]

Answer:

-2.75

-1.75

-0.75

0.25

1.25

Step-by-step explanation:

<em>The</em><em> </em><em>value</em><em> </em><em>of</em><em> </em><em>x</em><em> </em><em>is</em><em> </em><em>given</em><em> </em><em>in</em><em> </em><em>the</em><em> </em><em>top</em><em> </em><em>row</em><em> </em><em>of</em><em> </em><em>the</em><em> </em><em>table</em><em>.</em><em> </em><em>We</em><em> </em><em>can</em><em> </em><em>complete</em><em> </em><em>the</em><em> </em><em>rest</em><em> </em><em>of</em><em> </em><em>the</em><em> </em><em>table</em><em> </em><em>by</em><em> </em><em>plugging</em><em> </em><em>in</em><em> </em><em>the</em><em> </em><em>corresponding</em><em> </em><em>values</em><em> </em><em>of</em><em> </em><em>x</em><em> </em><em>into</em><em> </em><em>the</em><em> </em><em>equation</em><em> </em><em>and</em><em> </em><em>solve</em><em> </em><em>for</em><em> </em><em>y</em><em>.</em>

<em>F</em><em>or</em><em> </em><em>example</em><em>:</em>

y = (-2) - 3/4 = -2.75

y = (-1) - 3/4 = -1.75

y = (0) - 3/4 = -0.75

y = (1) - 3/4 = 0.25

y = (2) - 3/4 = 1.25

5 0

2 years ago

Read 2 more answers

Please solve my difficult question fast

kicyunya [14]

The 3 angles form the straight line AB. A straight line equals 180 degrees.

The 3 angles when added together need to equal 180:

2x + 65 + (x + 65) = 180

Simplify by combining like terms:

3x + 130 = 180

Subtract 130 from both sides

3x = 50

Divide both sides by 3

X = 50/3

X = 16 2/3 (16.66667 as a repeating decimal)

Now you have x if you need to solve all the angles replace x with its value and sole:

2x = 2(16 2/3) = 33 1/3

X + 65 = 16 2/3 + 65 = 81 2/3

7 0

3 years ago

Read 2 more answers

A drawer contains 8 blue socks,8 black socks,and 4 white socks.socks are picked at random.explain why the events picking a blue

xeze [42]

The probability would be like 14/95

6 0

3 years ago

Round 4.16 to the nearest whole number?

frutty [35]

4.16 rounded to the nearest whole is 4.2.

3 0

3 years ago