On Quiz

The phone company Blurizon has a monthly cellular plan where a customer pays a flat fee for unlimited voice calls and then a cer

emmainna [20.7K]

Answer:

$y=2x+27$ .

Step-by-step explanation:

We have been given that when a customer uses 14 GB, the monthly cost will be $55. When the customer uses 38 GB, the monthly cost will be $103. We are asked to write an equation in slope-intercept form, where x is the number of GB of data used in a month and y is the total monthly cost of the Blurizon plan.

We have been given two points on line (14,55) and (38,103).

Let us find slope of line.

$m=\frac{103-55}{38-14}$

$m=\frac{48}{24}$

$m=2$

Now, we will use slope-intercept form of equation.

$y=mx+b$

$55=2(14)+b$

$55=28+b$

$55-28=28-28+b$

$b=27$

Therefore, our required equation would be $y=2x+27$ .

6 0

4 years ago

For the data in the table tell whether y varies directly with X if it does write an equation for the direct variation

frozen [14]

a) Option B Direct variation, y=1.8x is correct option.

b) Option A Not a direct variation is correct option.

Step-by-step explanation:

a) for the data in the table tell whether y varies directly with X if it does write an equation for the direct variation

The direct variation is represented by:

$y=kx \,\,or\\\frac{y}{x}=k$

We need to find k.

Given the values of x and y in table we will find k. if value of k is constant, so x and y varies directly

$\frac{5.4}{3}=1.8\\\frac{12.6}{7}=1.8\\\frac{21.6}{12}=1.8$

Since value of k is constant i.e 1.8 so, y varies directly with x.

Option B Direct variation, y=1.8x is correct option.

b) For the data in the table tell whether Y varies directly with x if it does write an equation for the direct variation.

The direct variation is represented by:

$y=kx \,\,or\\\frac{y}{x}=k$

We need to find k.

Given the values of x and y in table we will find k. if value of k is constant, so x and y varies directly

$\frac{1}{-2}=-\frac{1}{2}\\\frac{6}{3}=2\\\frac{11}{8}=1.3$

Since value of k is not constant so, y doesn't varies directly with x.

Option A Not a direct variation is correct option.

Keywords: Direct variation:

Learn more about Direct variation at:

#learnwithBrainly

5 0

3 years ago

|y+4|<1<br><br> A) -5 B) -3 C) -4 D) 1<br><br> Thank you!!!

swat32

The answer is C.

|-4+4| < 1
|0| < 1
0 < 1

5 0

3 years ago

Determine if diverges, converges, or converges conditionally.

TEA [102]

The given series is conditionally convergent. This can be obtained by using alternating series test first and then comparing the series to the harmonic series.

<h3>Determine if diverges, converges, or converges conditionally:</h3>

Initially we need to know what Absolute convergence and Conditional convergence,

If $\sum|a_{n} |$ → converges, and $\sum a_{n}$ → converges, then the series is Absolute convergence

If $\sum|a_{n} |$ → diverges, and $\sum a_{n}$ → converges, then the series is Conditional convergence

First use alternating series test,

$\lim_{k \to \infty} \frac{k^{5} +1}{k^{6}+11 }$ = $\lim_{n \to \infty} \frac{5}{6k}$ = 0,

The series is a positive, decreasing sequence that converges to 0.

Next by comparing the series to harmonic series,

$\sum^{\infty} _{k=2}|(-1)^{k+1} \frac{k^{5} +1}{k^{6}+11 }|=\sum^{\infty} _{k=2}\frac{k^{5} +1}{k^{6}+11 }$ ≈ $\sum^{\infty} _{k=2}\frac{1}{k}$ = 0

This implies that the series is divergent by comparison to the harmonic series.

First we got that the series is converging and then we got the series is divergent. Therefore the series is conditionally convergent.

$\sum|a_{n} |$ → diverges, and $\sum a_{n}$ → converges, then the series is Conditional convergence.

Hence the given series is conditionally convergent.

Learn more about conditionally convergent here:

brainly.com/question/1580821

#SPJ1

7 0

2 years ago

Read 2 more answers

3/4 + (1/3 ÷ 1/6) - (-1/2) =

Aleonysh [2.5K]

The answer is 13/14

4 0

4 years ago