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slavikrds [6]
3 years ago
14

Line AB has an equation of a line y = 5x − 2. Which of the following could be an equation for a line that is parallel to line AB

? y = 5x + 3 or y = 1/5x + 3 or y = −5x + 3 or y = −1/ 5x + 3
Mathematics
1 answer:
SpyIntel [72]3 years ago
4 0
Determine the slope of line AB
m = 5

Determine the slope of the lines from the options
First option: y = 5x + 3, the slope is 5
Second option: y = (1/5)x + 3, the slope is 1/5
Third option: y = -5x + 3, the slope is -5
Fourth option: y = (-1/5)x + 3, the slope is -1/5

Parallel lines are similar in the slope. So the line which is parallel to line AB must have the slope of 5.

The answer is first option.
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QUICK I NEED HELP PLEASE!
seraphim [82]
Assuming you meant is - \frac{3}{5} x+ \frac{1}{5} \ \textgreater \  720

The answer would be :
- \frac{3}{5} x\ \textgreater \ 719.8

x \ \textless \  \frac{719.8}{ \frac{-3}{5} }
x\ \textless \  719.8 *( \frac{-5}{3} )
x\ \textless \  \frac{-3599}{3}

Hope this helps !

Photon

However, your equation seems weird :o

8 0
3 years ago
What’s the answer to 4x+3=15
Anastasy [175]

Answer: 4.500

Step-by-step explanation:

4x - 18  =   2 • (2x - 9)

2   =  0

 2x-9 = 0

 2x = 9

x = 9/2 = 4.500

3 0
3 years ago
A manufacturing company regularly conducts quality control checks at specified periods on the products it manufactures. Historic
Rina8888 [55]

Answer:

The probability that none of the LED light bulbs are​ defective is 0.7374.

Step-by-step explanation:

The complete question is:

What is the probability that none of the LED light bulbs are​ defective?

Solution:

Let the random variable <em>X</em> represent the number of defective LED light bulbs.

The probability of a LED light bulb being defective is, P (X) = <em>p</em> = 0.03.

A random sample of <em>n</em> = 10 LED light bulbs is selected.

The event of a specific LED light bulb being defective is independent of the other bulbs.

The random variable <em>X</em> thus follows a Binomial distribution with parameters <em>n</em> = 10 and <em>p</em> = 0.03.

The probability mass function of <em>X</em> is:

P(X=x)={10\choose x}(0.03)^{x}(1-0.03)^{10-x};\ x=0,1,2,3...

Compute the probability that none of the LED light bulbs are​ defective as follows:

P(X=0)={10\choose 0}(0.03)^{0}(1-0.03)^{10-0}

                =1\times 1\times 0.737424\\=0.737424\\\approx 0.7374

Thus, the probability that none of the LED light bulbs are​ defective is 0.7374.

6 0
3 years ago
Write an equation for the line passing through the points (-5,15) and (20,25). Show how you found your answer.
olasank [31]

The point-slope form:

y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (-5, 15) and (20, 25). substitute:

m=\dfrac{25-15}{20-(-5)}=\dfrac{10}{25}=\dfrac{2}{5}\\\\y-15=\dfrac{2}{5}(x-(-5))\\\\y-15=\dfrac{2}{5}(x+5)\qquad|\text{use distributive property}\\\\y-15=\dfrac{2}{5}x+2\qquad|\text{add 15 from both sides}\\\\y=\dfrac{2}{5}x+17\qquad|\text{multiply both sides by 5}\\\\5y=2x+85\qquad|\text{subtract 2x from both sides}\\\\-2x+5y=85\qquad|\text{change the signs}\\\\2x-5y=-85

Answer:

point-slope form: y-15=\dfrac{2}{5}(x+5)

slope-intercept form: y=\dfrac{2}{5}x+17

standard form: 2x-5y=-85

7 0
3 years ago
Which table represents an arithmethic sequence?
Fiesta28 [93]

Table 3  represents an arithmetic sequence.

Solution:

To find which table represents an arithmetic sequence:

In arithmetic sequence difference of each term is equal.

d=a_n-a_{n-1}

Table 1:

d=a_2-a_1

  = –12 – (–6)

d = –6

d=a_3-a_2

  = –24 – (–12)

d = –12

Here differences are not equal.

So table 1 not represents an arithmetic sequence.

Table 2:

d=a_2-a_1

  = 9 – 7

d = 2

d=a_3-a_2

  = 13 – 9

d = 4

Here differences are not equal.

So table 2 not represents an arithmetic sequence.

Table 3:

d=a_2-a_1

  = 7.3 – 8.7

d = –1.4

d=a_3-a_2

  = 5.9 – 7.3

d = –1.4

d=a_4-a_3

  = 4.5 – 5.9

d = –1.4

d=a_5-a_4

  = 3.1 – 4.5

d = –1.4

Here differences are equal.

So table 3 represents an arithmetic sequence.

8 0
2 years ago
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