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4 years ago

8

Which of the following rational functions is graphed below?

1 answer:

Cerrena [4.2K]4 years ago

7 0

Answer:

option B

Step-by-step explanation:

We can see in the graph that the function has two values of x where the value of y goes to infinity: x = -6 and x = 6.

These points where the value of the function goes to infinity usually are roots of the polynomial in the denominator of a fraction (when the values of x tend to these values, the denominator of the fraction tends to 0, so we have a discontinuity in the function).

So the option that represents a function that have these points in x = -6 and x = 6 is the function in option B.

The other options show functions that have only one point that goes to infinity.

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How would I figure out a linear equation with two plot points with fractions? (1/3(6),3) and (1/2(19),-2) are my two plot points

murzikaleks [220]

Answer: $m=\frac{-30}{79},\ y=5.40$

Step-by-step explanation:

Given

Points are $\left(6\frac{1}{3},3\right),\ \left(19\frac{1}{2},-2\right)$

Convert mixed numeral to fraction

$\left(6\frac{1}{3},3\right)\Rightarrow \left(\dfrac{19}{3},3\right)\\\\\left(19\frac{1}{2},-2\right)\Rightarrow \left(\dfrac{39}{2},-2\right)$

Slope of the line is

$\Rightarrow m=\dfrac{3-(-2)}{\dfrac{19}{3}-\dfrac{39}{2}}\\\\\Rightarrow m=\dfrac{5}{\dfrac{38-117}{6}}\\\\\Rightarrow m=\dfrac{-30}{79}$

Equation of line

$\Rightarrow \dfrac{y-3}{x-\dfrac{19}{3}}=\dfrac{-30}{79}\\\\\text{for y-intercept, put x=0}\\\\\Rightarrow \dfrac{y-3}{0-\dfrac{19}{3}}=\dfrac{-30}{79}\\\\\Rightarrow y-3=\dfrac{190}{79}\\\\\Rightarrow y=3+2.40\\\Rightarrow y=5.40$

3 0

3 years ago

Please help me 33/2 + 3y/5 = 7y/10 + 15

8090 [49]

We are given with an equation in <em>variable y</em> and we need to solve for <em>y</em> . So , now let's start !!!

We are given with ;

${:\implies \quad \sf \dfrac{33}{2}+\dfrac{3y}{5}=\dfrac{7y}{10}+15}$

Take LCM on both sides :

${:\implies \quad \sf \dfrac{165+6y}{10}=\dfrac{7y+150}{10}}$

<em>Multiplying</em> both sides by <em>10</em> ;

${:\implies \quad \sf \cancel{10}\times \dfrac{165+6y}{\cancel{10}}=\cancel{10}\times \dfrac{7y+150}{\cancel{10}}}$

${:\implies \quad \sf 165+6y=7y+150}$

Can be <em>further written</em> as ;

${:\implies \quad \sf 7y+150=165+6y}$

Transposing <em>6y </em>to<em> LHS</em> and <em>150</em> to<em> RHS </em>

${:\implies \quad \sf 7y-6y=165-150}$

${:\implies \quad \bf \therefore \quad \underline{\underline{y=15}}}$

8 0

2 years ago

Hoping to be named Salesperson of the Month, Luther called the names from 1/4 of a page of the phone book last week. This week,

muminat

Answer:

3/4

Step-by-step explanation:

Fraction of names called last week = 1/4 of a page

Fraction called this week = 1/2 of a page

The number of pages worth of people called ;

This is an addition problem, as the total will be the sum. Of the fractions called this week and last week

Hence,

Total page worth of names called :

(1/4 + 1/2) = (1 + 2) / 4 = 3/4

3 0

3 years ago

What is the value of x?

aev [14]

x= 18

let me show you the workout

6x+1+12x-5=32

Combine like terms .Combine 6x+12=18x

18x-4=32 Subtract -4 from 32

18x=36 Divide by 18 and

X=16

Hoped this helped Im not sure if this is right

8 0

3 years ago

Frank earns $59900 one year and receives a 7% raise in salary. What is his new salary?

vredina [299]

Answer:

$64,093

Step-by-step explanation:

We're given that Frank gets a 7% raise from his original salary of $59900.

First we need to find 7% of 59900 and then add that value to 59900:

7% * 59900

Remember that % simply means "out of 100", so:

7% * 59900 = 7/100 * 59900 = 7 * 599 = $4193

Add this to 59900:

4193 + 59900 = $64,093

The answer is thus $64,093.

<em>~ an aesthetics lover</em>

7 0

3 years ago

Read 2 more answers