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3 years ago

What is an equation of a line with a slope -2/3 and a y intercept of -4 ?

1 answer:

6 0

Written in slope intercept form y=mx+b.......m is the slope.......b is the y intercept or where the line crosses the y axis

y=-2/3x - 4

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Help ASAP!!<br>Using the graphed function above, find the following

Alenkinab [10]

Answer:

Maximum: 1, Minimum: -3, Midline y = -1, Amplitude = 4, Period = $\pi$ , Frequency $\displaystyle =\frac{1}{\pi}$ , equation : $f(x)=-4cos(2x)+1$

Step-by-step explanation:

<u>Sinusoid Functions</u>

It refers to the oscillating functions like the sine or cosine which range from a minimum and maximum value periodically.

The graph shown can give us all the information we need to answer these questions:

Maximum: 1

Minimum: -3

The midline goes through the center value (mean) of the max and min values, i.e.

Equation of the midline:

$\displaystyle y=\frac{1-3}{2}=-1$

Amplitude is the difference between the maximum and minimum values

$A=1-(-3)=4$

The period is the time it takes to complete a cycle. We can see the minimum value is first reached at x=0 and next at $x=\pi$

Thus the period is

$T=\pi$

The frequency is the reciprocal of the period:

$\displaystyle f=\frac{1}{T}=\frac{1}{\pi}$

The angular frequency is

$\displaystyle w=2\pi f=\frac{2\pi }{\pi}=2$

The equation of the function is a negative cosine (since it starts at the minimum) or a shifted sine or cosine. We'll choose the negative cosine, knowing all the parameters:

$f(x)=-4cos(2x)+1$

5 0

3 years ago

The question is in the image! Please help if u can its due really soon

maw [93]

Answer:

5.4

Step-by-step explanation:

3x+38=10x

-3x -3x

38=7x

x=5.4

Brainliest pleaseeeeeee

7 0

3 years ago

Read 2 more answers

Can anyone help me out? I’ll give Brainly! Thank you :)

Oliga [24]

Answer:

The rate of return is 14%

Step-by-step explanation:

The rate of return can be determined by,

RR = $\frac{A_{f} - A_{i} }{A_{i} }$ x 100%

where:

RR is the rate of return

$A_f}$ is the final amount = $690 - $6 = $684

$A_{i}$ is the initial amount = $15 x 40 = $ 600

So that,

RR = $\frac{684 - 600}{600}$ x 100%

= 0.14 x 100%

= 14%

Therefore, the rate of return is 14%.

7 0

3 years ago

Not all visitors to a certain company's website are customers. In fact, the website administrator estimates that about 5% of all

Gnom [1K]

Answer:

0.0135 = 1.35% probability that, in a random sample of 4 visitors to the website, exactly 2 actually are looking for the website.

Step-by-step explanation:

For each visitor of the website, there are only two possible outcomes. Either they are looking for the website, or they are not. The probability of a customer being looking for the website is independent of other customers. This means that the binomial probability distribution is used 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.

5% of all visitors to the website are looking for other websites.

So 100 - 5 = 95% are looking for the website, which means that $p = 0.95$

Find the probability that, in a random sample of 4 visitors to the website, exactly 2 actually are looking for the website.

This is P(X = 2) when n = 4. So

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

$P(X = x) = C_{4,2}.(0.95)^{2}.(0.05)^{2} = 0.0135$

0.0135 = 1.35% probability that, in a random sample of 4 visitors to the website, exactly 2 actually are looking for the website.

5 0

2 years ago

Carloshas1.2 meters of wood if cut into 3 equal pieces how many mm each

sdas [7]

1.2 ÷ 3 = 0.4 meters each
0.4 meters = 40 cm
40 cm = 400 mm

therefore,
Carlos must cut each piece of wood 400 mm each.

Hope this helps and have a great day! :D

5 0

3 years ago