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4 years ago

What is the equation of the line that has a slope of 3 and goes through the point (-3,-5)?

Mathematics

1 answer:

azamat4 years ago

6 0

Answer:

Here,

slope (m)=3

y-intercept (c)= -5

Now,

The equation of the line;

or,y=mx+c

or,y=3x-5

or,0=3x-y-5...is the required equation.

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the population of a local species of dragonfly can be found using an infinite geometric series where a1=30 and the common ratio

diamong [38]

The sum of any geometric sequence (if it converges, r^2<1) is of the form:

s(n)=a(1-r^n)/(1-r), a=initial term, r=common ratio, n=number of terms...

s(n)=30(1-0.4^n)/(0.6)

s(n)=50(1-0.4^n)

Since r<1 the sum of the infinite series is just:

s=50

7 0

4 years ago

Simplify completely..........

vitfil [10]

Answer:

$\frac{x}{x-1}$

Step-by-step explanation:

$\frac{3x^2 - 1}{x^2 - 1} - \frac{2x + 1}{x + 1}$ $[ \ x^ 2- 1 = (x-1)(x + 1) \ ]$

$= \frac{3x^2 - 1}{(x-1)(x + 1 )} - \frac{2x + 1}{x + 1}\\\\=\frac{(3x^2 - 1)-(2x + 1)(x-1)}{(x + 1)(x-1)}$ $[\ Taking \ LCM \ ]$

$= \frac{(3x^2 - 1)- (2x^2 - 2x + x - 1)}{(x+1)(x-1)}\\\\=\frac{3x^2 - 1 - 2x^2 + x + 1 }{(x+1)(x-1)}\\\\=\frac{x^2 +x}{(x+1)(x-1)}\\\\=\frac{x(x+1)}{(x+1)(x-1)}\\\\=\frac{x}{x-1}$

<em><u>Finding LCM :</u></em>

Example :

$\frac{1}{6} + \frac{1}{3}$

6 = 2 x 3

3 = 1 x 3

$\frac{1}{2 \times 3} + \frac{1}{ 3}$ $= \frac{1}{2 \times 3} + \frac{1 \times 2}{ 3 \times 2}$

[ To make the denominators same : the second fraction is multiplied and divided by 2 ]

Similarly :

$(x^2 - 1 ) = (x -1)(x+1)\\\\(x + 1) = 1 \times (x + 1)$

Same rule we applied : multiplied the numerator and denominator of the second term with ( x - 1 )

Therefore the second term becomes ,

$\frac{2x + 1}{x + 1} = \frac{(2x + 1)(x - 1)}{(x + 1)( x - 1)}$

7 0

3 years ago

A vacuum cleaner costs $68, and the full-replacement extended warranty costs $22. if the manufacturer sells 360,920 vacuum clean

olasank [31]

The cost of the 15 percent of replaced vacuum cleaner which are sold under warranty is $3,681,384. Option b is correct.

<h3>What is percentage ?</h3>

Percentage of a number is the part of the number expressed in the in every hundred. Percentage of a number is expressed with the symbol '%'.

A vacuum cleaner costs $68, and the full-replacement extended warranty costs $22.

The manufacturer sells 360,920 vacuum cleaners under warranty and must replace 15% of them to honor the warranties. Thus, the number of vecuum cleaner replaced by manufacturer is,

$n=\dfrac{15}{100}\times360,920\\n=54138$

The cost of one vacuum cleaner is $68. Thus the cost of 54138 vcacuum cleaner is,

$C=54138\times68\\C=3681384$

Hence, the cost of the 15 percent of replaced vacuum cleaner which are sold under warranty is $3,681,384. Option b is correct.

Learn more about the percentage here;

brainly.com/question/24304697

8 0

3 years ago

Nish is playing a video game where he pushes a button to stop a spinning wheel. Each time he presses the button, the theoretical

jekas [21]

Answer:

6 times

Step-by-step explanation:

The theoretical probability of scoring 10 points upon pressing a button = 3 / 5

The expected number of times 10 points is scored if button is pressed 10 times :

This will be ;

(Number of times button is pressed * theoretical probability of scoring 10 when button is pressed)

(10 * 3 / 5)

= 30 / 5

= 6 times

7 0

3 years ago

Subtract. [5 0 − 2]− [− 1 3 8 ] Enter your answer in the boxes. [ ]

Fiesta28 [93]

Answer:

i don't understand the question

7 0

4 years ago