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3 years ago

Write an equation of a rational function that has a hole at 3, a vertical asymptote at -4 and a horizontal asymptote at 2

1 answer:

6 0

F(x)=2x(x-3)/(x+4)(x+3), Creation of the hole: have 3 as a solution for both numerator and denomenator
Formation of a vertical asymptote at -4: have the denominator equal to zero when plugging in -4 such that the denominator equals to zero,
horizontal asymptote: have the highest degree of numerator and denominator equal and the quotient of their coefficient equal to 2(ever wonder why there is an "x" in the numerator? It is to set the highest degree of the numerator and denominator equal to each other.
If you need more explanations, ask, glad to help.

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(02.05 MC) A dance school has 63 ballet dancers. If 42% of the total number of dancers in the school are ballet dancers, what is

Elena L [17]

Alright, lets get started.

Suppose total number of dancers in school = x

We have given in question, 42 % of total dancers are ballet dancers.

So, we could find number of ballet dancers by finding 42 % of total dancers.

Number of ballet dancers = x * 42 %

Number of ballet dancers = x * 42/100 = 0.42 x

As per given in question, there are 63 ballet dancers in school.

Which means 0.42 x = 63

Dividing 0.42 from both sides

0.42 x / 0.42 = 63 / 0.42

x = 150

Hence number of total dancers in school = 150 : Answer

Hope it will help :)

4 0

3 years ago

Use the rule to write the first five terms of the pattern.

AlekseyPX

Answer:

A =First term of the pattern = 11

To find the first five terms we have to use the rule which is

Add 10 to first term and then subtract 5 from it.Which is equivalent to

= A +10 -5

1. Second Term = 11 + 10 -5

= 21 - 5

=16

→Third term = 16 +10-5

= 26 - 5

= 21

→Fourth term : 21 + 10 - 5

= 31 -5

= 26

→Fifth term : 26 +10 -5

= 36- 5

= 31

→Sixth term:

=31 + 10- 5

= 41 -5

= 36

So, the first five term apart from 11 is 16, 21,26,31,36 which is an Airthmetic progression.

4 0

3 years ago

Read 2 more answers

Simplify the product using FOIL (2x-7)(5x+5)

babunello [35]

Answer:

10x^2-25x-35

Step-by-step explanation:

FOIL means first, outer, inner, and last.

The first term of each pair is 2x and 5x.

The outer term of each pair is 2x and 5.

The inner term of each pairs are -7 and 5x.

The last term of each is -7 and 5.

Now we just have to multiply the terms I pairs above:

First: (2x)(5x)=10x^2

Outer: (2x)(5)=10x

Inner: (-7)(5x)=-35x

Last: (-7)(5)=-35

------------------------------Add the terms:

10x^2-25x-35

7 0

3 years ago

Reyesburg Corporation is contemplating using a new, more expensive glue in the construction of its laminated veneer lumber. Of i

Leokris [45]

Answer:

The mean carrying load of the beams tested is 908.7 pounds per square foot

Step-by-step explanation:

1. Data class 1: 860-879

Midpoint 1: M1=(860+879)/2=1,739/2→M1=869.5

Number of values in data class 1: n1=2

2. Data class 2: 880-899

Midpoint 2: M2=(880+899)/2=1,779/2→M2=889.5

Number of values in data class 2: n2=5

3. Data class 3: 900-919

Midpoint 3: M3=(900+919)/2=1,819/2→M3=909.5

Number of values in data class 3: n3=10

4. Data class 4: 920-939

Midpoint 4: M4=(920+939)/2=1,859/2→M4=929.5

Number of values in data class 4: n4=6

5. Data class 5: 940-959

Midpoint 5: M5=(940+959)/2=1,899/2→M5=949.5

Number of values in data class 5: n5=1

Mean=Sum(Mi*ni)/Sum(ni)

Mean=(M1*n1+M2*n2+M3*n3+M4*n4+M5*n5)/(n1+n2+n3+n4+n5)

Mean=(869.5*2+889.5*5+909.5*10+929.5*6+949.5*1)/(2+5+10+6+1)

Mean=(1,739+4,447.5+9,095+5,577+949.5)/(24)

Mean=(21,808)/(24)

Mean=908.6666666

Rounding to one decimal place:

Mean=908.7

3 0

3 years ago

Ab-ac=2 for a how do I do this

bazaltina [42]

Solve for A

ab - ac = 2
First, you need to factorize
a(b - c) = 2
a= 2/(b -c)

5 0

3 years ago