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3 years ago

Why equation is represented by the equation on the graph

Mathematics

2 answers:

Anni [7]3 years ago

6 0

Answer:

Choice D is correct answer.

Step-by-step explanation:

We have given a line.

We have to find the equation of line.

y = mx+c is the equation of line where m denotes slope and c is y-intercept of line.

y-intercept is a point on graph where value of x is zero.

From graph,we observed that

y-intercept is 2.

c = 2

Now, select any point that is passes through the line.

(x,y) = (2,0)

Putting values in equation of line, we have

0 = m(2)+2

2m = -2

m = -1

Hence, slope is -1,

y = (-1)x+(2)

y = -x+2 is equation of line given on the graph.

Nina [5.8K]3 years ago

4 0

Answer: Option D

Step-by-step explanation:

The equation of the line, by definition, has the following form:

y=mx+b

Where m is the slope and b is the y-intercept

As you can see in the graph, the line intercept the y-axis at 2, therefore b=2.

Now, to find the slope, choose any point of the line and solve for m:

Point (1,1)

1=m(1)+2

-1=m

Then, the equation is:

y=-x+2

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10. The LCM of 9, 12 and n is 252. If n is odd, find all the possible values of n.

kirza4 [7]

Answer:

I am pretty sure all you need are the factors of 252 and list all of them

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2 years ago

In the year 2009, a company made $5.4 million in profit. For each consecutive year after that, their profit increased by 11%. Ho

mrs_skeptik [129]

Answer:

Hi Grif05!

Your answer is 7.1 million.

To be exact , 7182000

Step-by-step explanation:

The distance between 2009 and 2012 is 3 years so we multiply.

11x3=33.

Now we must find 33% of 5.4 million.

33 % of 5.4 million is 1782000.

33% of 5400000 = 1782000

We then add 33% of 5.4 million to itself.

We get an answer of 7182000.

Hope this helps! Tell me if I'm wrong please :)

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3 years ago

What time is shown in the clock

Yanka [14]

10:30

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3 years ago

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Hatshy [7]

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3 years ago

A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 259.2-cm and a standard dev

Varvara68 [4.7K]

Answer:

The probability that the average length of rods in a randomly selected bundle of steel rods is greater than 259 cm is 0.65173.

Step-by-step explanation:

We are given that a company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 259.2 cm and a standard deviation of 2.1 cm. For shipment, 17 steel rods are bundled together.

Let $\bar X$ = the average length of rods in a randomly selected bundle of steel rods

The z-score probability distribution for the sample mean is given by;

Z = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\mu$ = population mean length of rods = 259.2 cm

$\sigma$ = standard deviaton = 2.1 cm

n = sample of steel rods = 17

Now, the probability that the average length of rods in a randomly selected bundle of steel rods is greater than 259 cm is given by = P( $\bar X$ > 259 cm)

P( $\bar X$ > 259 cm) = P( $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ > $\frac{259-259.2}{\frac{2.1}{\sqrt{17} } }$ ) = P(Z > -0.39) = P(Z < 0.39)

= 0.65173

The above probability is calculated by looking at the value of x = 0.39 in the z table which has an area of 0.65173.

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4 years ago