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3 years ago

Find a solution to the linear equation y=6x−18 by filling in the boxes with a valid value of x and y.

Mathematics

1 answer:

emmainna [20.7K]3 years ago

4 0

Answer:

x=3

y=0

i hope this helps:)

Step-by-step explanation:

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If e^(xy) = 2, then what is dy/dx at the point (1, ln2)?

love history [14]

E^(xy) = 2
(xdy/dx + y)e^(xy) = 0

At point (1, ln2), dy/dx + ln2 = 0
dy/dx = -ln2

3 0

3 years ago

Expand (3x+7)(3x-7) =

saveliy_v [14]

Answer:

$9 {x}^{2} - 49$

Step-by-step explanation:

Do FOIL, first outside inside last

3x × 3x = 9x^2

3x × -7 = -21x

7 × 3x = 21x

7 × -7 = -49

$9 {x}^{2} - 21x + 21x - 49 \: midde \: cancels \: each \: other \: out$

So it would just be 9x^2 - 49

8 0

3 years ago

Read 2 more answers

The cost of shipping a package is $2.75 per pound. Jeremy wants to ship a package that has a mass of 15 kg. How much will it cos

Karolina [17]

Answer:

$90.75

Step-by-step explanation:

First we convert kilograms to pounds.

1 kg = 2.2 lb

15 kg = 15 * 2.2 lb = 33 lb

Cost of shipping: $2.75/lb

Cost of shipping 33 lb: 33 lb * 2.75/lb = $90.75

Answer: $90.75

5 0

3 years ago

Which is greater, 12/17 or 5/8?

Vilka [71]

Answer:

5/8

Step-by-step explanation:

12/17 is 0.70

5/8 is 0.62

However, 12/17 had a lot more numbers than that so

TRUST ME I GOT EXCEPTED INTO HARVARD

3 0

3 years ago

Read 2 more answers

A k out of n system is one in which there is a group of n components, and the system will function if at least k of the componen

Solnce55 [7]

Answer:

0.9606 = 96.06% probability that the system will function tomorrow

Step-by-step explanation:

For each component, there are only two possible outcomes. Either it works, or it does not. Components are independent. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

Probability of a component working:

0.7 of 0.2(rain)

0.9 of 1 - 0.2 = 0.8(no rain). So

$p = 0.7*0.2 + 0.9*0.8 = 0.86$

0.86 - 86% probability that the system will function tomorrow

6 components:

This means that $n = 6$

What is the probability that the system will function tomorrow

This is

$P(X \geq 4) = P(X = 4) + P(X = 5) + P(X = 6)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 4) = C_{6,4}.(0.86)^{4}.(0.14)^{2} = 0.1608$

$P(X = 5) = C_{6,5}.(0.86)^{5}.(0.14)^{1} = 0.3952$

$P(X = 6) = C_{6,6}.(0.86)^{6}.(0.14)^{0} = 0.4046$

$P(X \geq 4) = P(X = 4) + P(X = 5) + P(X = 6) = 0.1608 + 0.3952 + 0.4046 = 0.9606$

0.9606 = 96.06% probability that the system will function tomorrow

6 0

3 years ago