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Reptile [31]
3 years ago
15

Find an equation of the line that passes through the point (0, -3) and has a slope of 2

Mathematics
1 answer:
nydimaria [60]3 years ago
8 0

Answer:

y=2x-3

Step-by-step explanation:

the negative 3 represents the y intercept and the 2 represents the slope.

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Enter an equation in point-slope form for the line.<br> Slope is 9 and (−3, −1) is on the line.
Korolek [52]

Answer:

y+1=9(x+3)

Step-by-step explanation:

Since the equation for point slope form is y-y₁=m(x-x₁)

enter the given points (-3,-1)

y-(-1)=9(x-(-3))

y+1=9(x+3)           <-- point slope form

8 0
3 years ago
What is the slope of the line that contains these points?
bazaltina [42]

Answer:

The answer to your question is 2

Step-by-step explanation:

Process

To solve this problem, just choose two sets of points and use the slope formula to find it.

Formula

             slope = (y2 - y1) /(x2 - x1)

- I chose the first two points

Point 1 (5, -3)

Point 2 (6, -1)

             x1 = 5  y1 = -3   x2 = 6  y2 = -1

-Substitution

             slope = (-1 + 3) / (6 - 5)

-Simplification

            slope = 2 / 1

-Result

            slope = 2

6 0
3 years ago
An earthquake measuring 6.4 on the Richter scale struck Japan in July 2007, causing extensive damage. Earlier that year, a minor
a_sh-v [17]

Answer:

10

Step-by-step explanation

The earthquake  measures 6.4 on the Richter scale which struck Japan in Jullu 2007 and caused and extensive damage. Earlier that year, a minor earthquake measuring 3.1 in the Richter scale has stroked in parts of Pennsylvania.

Fomular:

The magnitude of an earthquake is M log(I/S)

where I donates the intensity of the earthquake and S be the intensity of the standard earthquake.

Calculation:

Consider that M1 be the magnitude Japanese earthquake and M2 be the magnitude of the Pennsylvania earthquake and L1 be the intensity of the Japanese earthquake and L2 the intensity of the Pennsylvania  earthquake.

Here the magnitude of the Japanese earthquake is M1 = 6.14 and the magnitude of the Pennsylvania is M2 = 3.1

By the use of magnitude of the earthquake fomular M = log I1/S, the intensity of the Japanese earthquake is calculated as follows .

M1 = log I1/S

I1/s = 10

3 0
4 years ago
The total service time of a multistep manufacturing operation has a gamma distribution with mean 18 minutes and standard deviati
11Alexandr11 [23.1K]

Answer:

The answer is "\bold{r=9,  \lambda=\frac{1}{2}\ and \ \  \text{exponential, 9 steps}}"

Step-by-step explanation:

In point a:

We are aware of the random gamma variable X:

\to \mathbb{E} =\frac{r}{\lambda}\\\\\to Std(X) =\frac{\sqrt{r}}{\lambda}\\\\

It is given:

\to \mathbb{E} = 18 \\\\\to std(X)=6

\to 18=\frac{r}{\lambda}\\\\ \to 6=\frac{\sqrt{r}}{\lambda}\\\\

Substituting the value:

\to \frac{\sqrt{r}}{6}=\frac{r}{18}\\\\\to r=9\\\\\to \lambda=\frac{1}{2}\\\\

In point b:

When building the Erlang/Gammas distribution, these could reasonably be assumed to become an exponential distribution only with \lambda = 1/2 parameter with one step but to be r = 9 for one step.

8 0
3 years ago
what is the probability of spinning the spinner three times and having all three spins be greater then 5? Spinner is labeled 1-8
lilavasa [31]
Three over twenty-four
8 0
3 years ago
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