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2 years ago

Graph the line y=-3x-2

Mathematics

1 answer:

sashaice [31]2 years ago

7 0

Answer:

The graph of the line is attached below.

Step-by-step explanation:

According to the slope-intercept form

$y=mx+b$

As the line equation is given by

$y=\:-3x\:-\:2\\$

$\mathrm{Slope\:of\:}-3x-2:\quad m=-3$

y-intercept = b = -2

$\mathrm{Axis\:interception\:points\:of}\:-3x-2:\quad \mathrm{X\:Intercepts}:\:\left(-\frac{2}{3},\:0\right),\:\mathrm{Y\:Intercepts}:\:\left(0,\:-2\right)$

$\mathrm{x-intercept\:is\:a\:point\:on\:the\:graph\:where\:}y=0$

$-3x-2=0:\quad x=-\frac{2}{3}$

$\mathrm{X\:Intercepts}:\:\left(-\frac{2}{3},\:0\right)$

$y\mathrm{-intercept\:is\:the\:point\:on\:the\:graph\:where\:}x=0$

$y=-3\cdot \:0-2:\quad y=-2\\$

$\mathrm{Y\:Intercepts}:\:\left(0,\:-2\right)$

The graph of the line is attached below.

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Choose the answer that correctly solves the equation: 6 x 4 + 3 = ?

BlackZzzverrR [31]

Answer:

Step-by-step explanation:

because 6×4 is 24 and 24+3 =27

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2 years ago

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Find the value of b. B² = 256

Jlenok [28]

$B^2=256$

$\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}$

$B=\sqrt{256},\:B=-\sqrt{256}$

$\sqrt{256}$

$\mathrm{Factor\:the\:number:\:}\:256=16^2$

$=\sqrt{16^2}$

$=16$

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$B=16,\:B=-16$

<h3><em>Hope I helped you!</em></h3><h3><em>Success!</em></h3>

<em>by a random romanian guy</em>

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2 years ago

A professor at a local university noted that the exam grades of her students were normally distributed with a mean of 73 and a s

jasenka [17]

Answer:

The minimum score of those who received C's is 67.39.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 73, \sigma = 11$

If 69.5 percent of the students received grades of C or better, what is the minimum score of those who received C's?

This is X when Z has a pvalue of 1-0.695 = 0.305. So it is X when Z = -0.51.

$Z = \frac{X - \mu}{\sigma}$

$-0.51 = \frac{X - 73}{11}$

$X - 73 = -0.51*11$

$X = 67.39$

The minimum score of those who received C's is 67.39.

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3 years ago

A box contains four 75 W lightbulbs, three 60 W lightbulbs, and three burned-out lightbulbs. Two bulbs are selected at random fr

Law Incorporation [45]

Answer:

a. 0.689

b. 0.8

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Step-by-step explanation:

The given scenario indicates hyper-geometric experiment because because successive trials are dependent and probability of success changes on each trial.

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P(X=x)=kCx(N-k)C(n-x)/NCn

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P(X>0)=0.689

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μx=nk/N

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The variance of hyper-geometric distribution is

σx²=nk(N-k).(N-n)/N²(N-1)

σx²=2*4(10-4).(10-2)/10²*9

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2 years ago

What is36% of 75 show work

STALIN [3.7K]

Ok so first multiply .36 (decimal notation ) by 75.
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