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Julli [10]
3 years ago
5

Josephine has a great garden with and area of 2x2 + x - 6 square feet

Mathematics
1 answer:
Amanda [17]3 years ago
8 0

2 \times 2x - 6 \\ 4x - 6 \\ divide \: 6 \: \: on \: both \: sides \: and \: thats \: your \: answer \:
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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
2 years ago
Graph the line with slope of 4/3<br> and goes through the point (1,3)<br><br> ANSWER THIS FAST!
suter [353]

Answer:

Step-by-step explanation:

y=mx+c

3=4/3*1+c

so c=1.6

line crosses y axis at 1.6

For other values use a table onve you know the equation

x:

y:

5 0
3 years ago
Read 2 more answers
A negative number is. A positive number
Snowcat [4.5K]
" The opposite of " could be the answer
6 0
3 years ago
Suppose that x and y vary inversely, and x = 12 when y = 8 . Write the function that models the inverse variation.
Alja [10]

Answer:

y=\frac{96}{x}

Step-by-step explanation:

So when x and y, vary inversely, it means that the product of x and y will remain constant such that: xy=c. This means that the function can be defined as y=\frac{c}{x} by dividing both sides by x. In this case x=12, and y=8, this means the constant is equal to 12 * 8 which is 96. So we have the equation:  xy = 96, which can be defined as y=\frac{96}{x}

7 0
1 year ago
What is the area of georgina rounded to the nearest mile 59,424.77
AleksAgata [21]
<h2>Answer:  </h2>

59,425 sq mi  

<h2>Step-by-step explanation:  </h2>

When you want to round to the units place, you look at the digit in the number that is in the place to the right of that: the tenths place. Here, that digit is 7, which is more than 4. Because that digit is more than 4, 1 is added to the units place and all the digits to the right of that are dropped.  

This gives you 59,424 +1 = 59,425.    

If the tenths digit were 4 or less, no change would be made to values in the units place or to the left of that. The tenths digit and digits to the right would be dropped.  

... 59,424.3 ⇒ 59,424 . . . . . for example

3 0
3 years ago
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