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serg [7]
2 years ago
12

Give the equations of 3 lines that are parallel to the line with the equation y=3x+2

Mathematics
1 answer:
horsena [70]2 years ago
4 0

Answer:

y = 3x+5

y = 3x+9

y = 3x+22

There are infinitely many ways to answer this

======================================================

Explanation:

Parallel lines have equal slopes, but different y intercepts.

So the answers will have y = 3x in them. We'll change the +2 to other values.

Pick 3 of your favorite numbers, as long as you don't pick the number 2.

I'll pick the numbers 5, 9 and 22

Three possible answers are:

y = 3x+5

y = 3x+9

y = 3x+22

All of those equations have a slope of 3, but different y intercepts so we are guaranteed to have parallel lines to the original y = 3x+2.

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A set of composite number less than 12.Express it in listing and set-builder methods
Ivanshal [37]

composite numbers less than 12={1,3,4,6,8,9,10}

7 0
3 years ago
Which expression is equivalent to log Subscript c Baseline StartFraction x squared minus 1 Over 5 x EndFraction?
Harrizon [31]

The equivalent expression of \log_c(\frac{x^2 - 1}{5x}) is \log_c(x^2 - 1) - \log_c(5x)

<h3>How to determine the equivalent expression?</h3>

The logarithmic expression is given as:

\log_c(\frac{x^2 - 1}{5x})

The law of logarithm states that:

log(a) - log(b) = log(a/b)

This means that the expression can be split as:

\log_c(\frac{x^2 - 1}{5x}) = \log_c(x^2 - 1) - \log_c(5x)

Hence, the equivalent expression of \log_c(\frac{x^2 - 1}{5x}) is \log_c(x^2 - 1) - \log_c(5x)

Read more about equivalent expression

brainly.com/question/2972832

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3 0
1 year ago
Lewis directs the school marching band. He uses scale drawings of the football field to design marching formations for the band.
Andrews [41]

Answer:

Assuming you have the lengths in inches.

Do this: (length in inches * 10) x (length in inches * 10)

Step-by-step explanation:

There's information missing from this question. "The football field is 100 yards long and yards wide", but to find out the area of a rectangle you just need to times the two numbers together.

I assume you have a picture with the lengths in inches on, if you can see how many inches are on the scale drawing, times the inches by 10 for the length in yards for each side. Then times the two lengths (in yards) together for the area.

:)

5 0
2 years ago
Read 2 more answers
ANSWER IF YOU KNOW THE ANSWER!!! I WILL GIVE BRAINLIEST BTW!!!!!!!!!!!!!
AURORKA [14]

im pretty sure its c

7 0
2 years ago
Read 2 more answers
Tesla Battery Recharge Time.The electric­ vehicle manufacturing company Tesla esti­mates that a driver who commutes 50 miles per
madam [21]

Answer:

a.) f(x) = \frac{1}{30} where 90 < x < 120

b.) \frac{2}{3}

c.)  \frac{2}{3}

d.)  \frac{1}{2}

Step-by-step explanation:

Let

X be a uniform random variable that denotes the actual charging time of battery.

Given that, the actual recharging time required is uniformly distributed between 90 and 120 minutes.

⇒X ≈ ∪ ( 90, 120 )

a.)

Probability density function , f (x) = \frac{1}{120 - 90} = \frac{1}{30} where 90 < x < 120

b.)

P(x < 110) = \int\limits^{110}_{90} {\frac{1}{30} } \, dx

               = \frac{1}{30}[x]\limits^{110}_{90}  = \frac{1}{30} [ 110 - 90 ] = \frac{1}{30} [ 20] = \frac{2}{3}

c.)

P(x > 100 ) = \int\limits^{120}_{100} {\frac{1}{30} } \, dx

                 = \frac{1}{30}[x]\limits^{120}_{100}  = \frac{1}{30} [ 120 - 100 ] = \frac{1}{30} [ 20] = \frac{2}{3}

d.)

P(95 < x< 110)  = \int\limits^{110}_{95} {\frac{1}{30} } \, dx

                       = \frac{1}{30}[x]\limits^{110}_{95}  = \frac{1}{30} [ 110 - 95 ] = \frac{1}{30} [ 15] = \frac{1}{2}

7 0
3 years ago
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