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2 years ago

Graph the line y=−3x+b if it is known that the graph goes through point: B(5, 2)

Mathematics

1 answer:

Rom4ik [11]2 years ago

6 0

Given that, the line y=−3x+b is passing through point B(5, 2).

Put x=5 and y=2 in the given equation to the value of b, we have

$2=-3\times5+b$

$\Rightarrow 2=-15+b$

$\Rightarrow 17=b$

or b=17.

Now, the given equation become

y=-3x+17

This is the equation of a straight line, so find any two points on the line and join them to get the graph of the line.

One point is already given, i.e B(5, 2).

Get any other point, suppose, for x=0,

$y==3\times0+17=17$ .

So, the other point is (0,17).

Now, denote both the points of the cartesian coordinate system and join them to get the graph as shown in the figure.

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Write the expression<br> a2b3c2d in expanded<br> form.

Zanzabum

Answer:

a*2+b*2+c*2+d

Step-by-step explanation:

If i's meant to be Pythagorean theorem, a*a+b*b=c*c

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3 years ago

The number of years of education of self-employed individuals in the united states has a population mean of 13.6 years and a pop

muminat

Answer:

0.3 years

Step-by-step explanation:

With problems like these, I always like to start by breaking down the information into smaller pieces.

μ = 13.6

σ = 3.0

Survey of 100 self-employed people

(random variable) X = # of years of education

So now we have some notation, where μ represents population mean and σ represents population standard deviation. Hopefully, you already know that the sample mean of x-bar is the same as the population mean, so x-bar = 13.6. Now, the question asks us what the standard deviation is. Since the sample here is random, we can use the Central Limit Theorem, which allows us to guess that a distribution will be approximately normal for large sample sizes (that is, n ≥ 30). In this case, our sample size is 100, so that is satisfied. We're also told our sample is random, so we're good there, too. Now all we have to do is plug some stuff in.

The Central Limit Theorem says that for large values of n, x-bar follows an approximately normal distribution with sample mean = μ and sample standard deviation = σ/√n. So, with that info, all we need to do to find the standard deviation of x-bar is to plug our σ and n into the above formula.

σ(x-bar) = σ/√n

σ(x-bar) = 3.0/√100

σ(x-bar) = 0.3

So your answer here is .3 years.

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2 years ago

What is the circumference of a circle with a<br> diameter of 3 cm? (Use 3.14 as pi)

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Answer:

circumference=9.42

Step-by-step explanation:

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3 years ago

Martha has $180. She needs a total of $2,000 to start investing in stocks. She earns $60 per day working, of which she saves $50

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So she earns $60 per day working, but only saves $50. To solve this equation you have to multiply $50 to each day she works. If the total has to be exactly $2,000 then you must multiply 50 x 36.4 and that equals $2,000.
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3 years ago

Find the distance between a point (– 2, 3 – 4) and its image on the plane x+y+z=3 measured across a line (x + 2)/3 = (2y + 3)/4

dimaraw [331]

Answer:

Distance of the point from its image = 8.56 units

Step-by-step explanation:

Given,

Co-ordinates of point is (-2, 3,-4)

Let's say

$x_1\ =\ -2$