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andrey2020 [161]
3 years ago
15

Let f(x) = (x+3) (x+1)^n ( x+2) ² what is the multiplicity of the zero of f at x=2? ​

Mathematics
1 answer:
nekit [7.7K]3 years ago
6 0

Answer:

is c

Step-by-step explanation:

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You have 200 meters of fencing. What triangle will result in the maximum fence-able area? What is that area?
ikadub [295]

Answer:

It will be an equilateral triangle and the area is 1924.5 sq. meters.

Step-by-step explanation:

If the total length of the fencing of 200 meters is utilized then the perimeter of the triangle will be 200 meters.

Now, we know that the type of triangle that gives the maximum area for a given perimeter is an equilateral triangle.

So, the equilateral triangle with a perimeter of 200 meters will have side lengths of \frac{200}{3} meters.

Now, the area of an equilateral triangle with sides a units is given by \frac{\sqrt{3}}{4} a^{2} sq. units.

So, the area of the above equilateral triangle will be = \frac{\sqrt{3}}{4}\times (\frac{200}{3})^{2} = 1924.5 sq. meters. (Answer)

7 0
3 years ago
Which expression is equivalent to 36^-1/2
inn [45]
ANSWER


( {36})^{ (-  \frac{1}{2}) }  =  \frac{1}{6}


EXPLANATION



The given expression is


{36}^{( -  \frac{1}{2} )}
This is having a negative index. We must first of all change to a positive index.


Recall that,



{a}^{ - m}  =  \frac{1}{ {a}^{m} }

We apply this law of exponents to get,



{36}^{( -  \frac{1}{2} )}  =  \frac{1}{ {36}^{(  \frac{1}{2} )} }

We cab rewrite the given expression to obtain;



{36}^{( -  \frac{1}{2} )}  =  \frac{1}{  \sqrt{36}  }

This will simplify to give us,


{36}^{( -  \frac{1}{2} )}  =  \frac{1}{  6 }


6 0
3 years ago
Read 2 more answers
Solve the logarithmic equation with Properties of Logs
Rufina [12.5K]

Answer:

Simplifying

logx + -4 = 0

Reorder the terms:

-4 + glox = 0

Solving

-4 + glox = 0

Solving for variable 'g'.

Move all terms containing g to the left, all other terms to the right.

Add '4' to each side of the equation.

-4 + 4 + glox = 0 + 4

Combine like terms: -4 + 4 = 0

0 + glox = 0 + 4

glox = 0 + 4

Combine like terms: 0 + 4 = 4

glox = 4

Divide each side by 'lox'.

g = 4l-1o-1x-1

Simplifying

g = 4l-1o-1x-1

4 0
2 years ago
Read 2 more answers
What is the following sum? Assume x greater-than-or-equal-to 0 and y greater-than-or-equal-to 0
Free_Kalibri [48]

Answer:

\sqrt{x^2y^3}+2\sqrt{x^3y^4}+xy\sqrt{y}=2xy^2\sqrt{x}+2xy\sqrt{y}

Hence, ption B is true.

Step-by-step explanation:

Given the expression

\sqrt{x^2y^3}+2\sqrt{x^3y^4}+xy\sqrt{y}

solving the expression

\sqrt{x^2y^3}+2\sqrt{x^3y^4}+xy\sqrt{y}

as

\sqrt{x^2y^3}=xy\sqrt{y}

2\sqrt{x^3y^4}=2xy^2\sqrt{x}

so the expression becomes

\:\sqrt{x^2y^3}+2\sqrt{x^3y^4}+xy\sqrt{y}=xy\sqrt{y}+2xy^2\sqrt{x}+xy\sqrt{y}

Group like terms

                                        =2xy^2\sqrt{x}+xy\sqrt{y}+xy\sqrt{y}

Add similar elements

                                        =2xy^2\sqrt{x}+2xy\sqrt{y}

Therefore, we conclude that:

\sqrt{x^2y^3}+2\sqrt{x^3y^4}+xy\sqrt{y}=2xy^2\sqrt{x}+2xy\sqrt{y}

Hence, option B is true.

6 0
3 years ago
Read 2 more answers
In a sequnece u5=-3.7 and u15 =-52.3, what is the 19th term
PilotLPTM [1.2K]

u19=-71.74

Step-by-step explanation:

u5=a+4d=-3.7....(1)

u15=a+14d=-52.3....(2)

-10d=48.6

d=-48.6/-10

d=-4.86

Substitute-4.86 into....(1)

u5=a+4(-4.86)=-3.7

a+(-19.44)=-4.7

a=-3.7-(-19.44)

a=15.74

19term=a+18d=?

=15.74+18(-4.86)

=15.74+(-87.48)

19th term =-71.74

6 0
2 years ago
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