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4 years ago

Find the equation of a line with slope -3 and goes through the point (-5,2)

1 answer:

6 0

Y - y₁ = m(x - x₁)
y - 2 = -3(x - (-5))
y - 2 = -3(x + 5)
y - 2 = -3(x) - 3(5)
y - 2 = -3x - 15
<u> + 2 + 2</u>
y = -3x - 13

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You buy a house for $230,000. It depreciates 3% per year. How much is it worth in 5 years?

Nookie1986 [14]

I honestly don’t know the equation but I just took the starting price, $230,000 and multipled it by .03 which was 6,900 and subtracted that from 230,000: 223,190. I repeated that 5 times. The answer I got is 197,508.83

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2 years ago

1.A 2000 W toaster operates on a household circuit of 200 V. What is the resistance of the wire the make up the heating element

MakcuM [25]

P - power measured in watts
E - voltage measured in volts
I - current measured in amperes
R - resistance measured in ohms

$E=IR
\\P=IE$

1. P = 2000 W, E = 200 V, R = ?

$P=IE
\\2000=I200 
\\I=10
\\E=IR
\\200=10R
\\R=20$

2. P = 0.35 W, E = 150 V, R = ?

$P=IE
\\0.35=I150
\\I= \frac{0.35}{150}
\\ E=IR
\\150=\frac{0.35}{150}R
\\R= \frac{150^2}{0.35}
\\R= 64285.71$

4 0

4 years ago

Find the equation perpendicular to the line y=−3x+5 that passes through point (2, 6).

ololo11 [35]

Hey there! :)

Perpendicular to y = -3x + 5 ; passes through (2, 6).

Our slope is -3. We know this because it is in the "m" position from slope-intercept form. However, since our equation we're looking for is perpendicular to our given one, we must find the negative reciprocal of -3.

A negative reciprocal is simply a number that is flipped and either given a negative or gets a negative removed.

So the negative reciprocal of -3 is 1/3. This means that our new slope is 1/3.

Now, using point-slope form ( y-y₁=m(x-x₁) ), our new slope (1/3) & (2, 6) , let's find our new equation!

y-y₁=m(x-x₁) y - (6) = 1/3(x - 2)

Simplify.

y - 6 = 1/3x - 2/3

~Hope I helped!~

5 0

4 years ago

Read 2 more answers

Solve for m.

schepotkina [342]

-37m = 12 so u take -37 + 37 = 0 > m = 12 + 37 > m = 49 which isnt one of the choices... u cant divide it and if u do -37 + 12 = -25 that isnt one of the choices either

5 0

3 years ago

Read 2 more answers

If a car agency sells 50% of its inventory of a certain foreign car equipped with side airbags, ﬁnd a formula for the probabilit

antiseptic1488 [7]

Answer:

Let X the random variable of interest "number of cars with side airbags among the next 4", on this case we now that:

$X \sim Binom(n=4, p=0.5)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

And the distribution is given by:

$P(X)= (4CX) (0.5)^x (1-0.5)^{4-x}$

With $X=0,1,2,3,4$

Step-by-step explanation:

Previous concepts

A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest "number of cars with side airbags among the next 4", on this case we now that:

$X \sim Binom(n=4, p=0.5)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

And the distribution is given by:

$P(X)= (4CX) (0.5)^x (1-0.5)^{4-x}$

With $X=0,1,2,3,4$

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3 years ago

Read 2 more answers