All categories

2 years ago

Need help with part c

Mathematics

1 answer:

Artyom0805 [142]2 years ago

8 0

First understand that this is a linear graph. Find 2 points on the graph. We can use (0,1) and (3,-3).

Look at how much the x increases, in this case the x value increases by 0+3, so 3.

Then see how much the y value increases (make sure to evaluate them in the same order) 1 + (-3) = -2.

So you know that the y value decreases by 2 units for every 3 unit increase in x. Therefore the slope is y=(-2/3)x

Then figure out what you add to the end. The y intercept is (0,1), so add 1 to the end of y=(-2/3)x to move it up.

Your resulting eq is y=(-2/3)x+1

You might be interested in

Tom Johnson worked 32 hours this week for $9.25 per hour. What is Tom’s gross pay for the week?

Dominik [7]

Answer:

296 dollars

Step-by-step explanation:

5 0

2 years ago

A parallel system functions whenever at least one of its components works. Consider a parallel system of 5 components, and suppo

Aneli [31]

Answer:

Probability that component 4 works given that the system is functioning = 0.434 .

Step-by-step explanation:

We are given that a parallel system functions whenever at least one of its components works.

There are parallel system of 5 components and each component works independently with probability 0.4 .

Let <em>A = Probability of component 4 working properly, P(A) = 0.4 .</em>

<em>Also let S = Probability that system is functioning for whole 5 components, P(S)</em>

Now, the conditional probability that component 4 works given that the system is functioning is given by P(A/S) ;

P(A/S) = {Means P(component 4 working and system also working)

divided by P(system is functioning)}

P(A/S) = {In numerator it is P(component 4 working) and in

denominator it is P(system working) = 1 - P(system is not working)}

Since we know that P(system not working) means that none of the components is working in system and it is given with the probability of 0.6 and since there are total of 5 components so P(system working) = 1 - $0.6^{5}$ .

Hence, P(A/S) = $\frac{0.4}{1 - 0.6^{5} }$ = 0.434.

7 0

2 years ago

If line L is parallel to line K, then they

ddd [48]

An equivalent statement will be if lines L and K intersect, then they are not parallel.

<h3>Parallel lines</h3>

Parallel lines are lines that do not meet. The angle between the parallel lines is 0 degrees

The statement if line L is parallel to line K, then they will never intersect is true and an equivalent statement will be if lines L and K intersect, then they are not parallel.

This is determined using the contrapositive statements

Learn more on parallel lines here: brainly.com/question/24607467

4 0

2 years ago

How do you find the x intercepts of 3x^(5/3) - 4x^(7/3)

kaheart [24]

Set the whole expression = to 0 and solve for x.

3x^(5/3) - 4x^(7/3) = 0. Factor out x^(5/3): x^(5/3) [3 - 4x^(2/3)] = 0

Then either x^(5/3) = 0, or 3 - 4x^(2/3) = 0.

In the latter case, 4x^(2/3) = 3.

To solve this: mult. both sides by x^(-2/3). Then we have

4x^(2/3)x^(-2/3) = 3x^(-2/3), or 4 = 3x^(-2/3). It'd be easier to work with this if we rewrote it as

4 3
--- = --------------------
1 x^(+2/3)

Then

4
--- = x^(-2/3). Then, x^(2/3) = (3/4), and x = (3/4)^(3/2). According to my 3 calculator, that comes out to x = 0.65 (approx.)

Check this result! subst. 0.65 for x in the given equation. Is the equation then true?

My method here was a bit roundabout, and longer than it should have been. Can you think of a more elegant (and shorter) solution?

7 0

2 years ago

Read 2 more answers

A skier is trying to decide whether or not to buy a season ski pass. A daily pass costs $68. A season ski pass costs $300. The

lina2011 [118]

first, ignore the rent for the skies. we could add it to both, but since it's the same, it would not change the number of days here.

this information is meant to test your decision making on what's important for the question.

now just ask how often you can pay $68 dollars per day while staying below 300 in total, you can just count it up.

68, 136, 204, 272, 340

its 4 days

for 5 days or more, the season pass is the better option

5 0

2 years ago