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2 years ago

What is the x-intercept of the graph?

Mathematics

2 answers:

Umnica [9.8K]2 years ago

8 0

Answer: (6,0)

Step-by-step explanation: To find the x-intercept, we plug a 0 in for y.

So we have 2x - 3(0) = 12.

Simplifying from here, we have 2x = 12.

Now divide both sides by 2 and we get <em>x = 6</em>.

So our x-intercept is 6.

This means that our line crosses the x-axis 6

units to the right of the origin or at the point (6,0).

Ksenya-84 [330]2 years ago

4 0

Answer:

(6,0)

Step-by-step explanation:

The x intercept is where the graph crosses the x axis

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The number of lightning strikes in a year at the top of a particular mountain has a poisson distribution with a mean of 3.8. fin

atroni [7]

Let X be the number of lightning strikes in a year at the top of particular mountain.

X follows Poisson distribution with mean μ = 3.8

We have to find here the probability that in randomly selected year the number of lightning strikes is 0

The Poisson probability is given by,

P(X=k) = $\frac{e^{-mean} mean^{x}}{x!}$

Here we have X=0, mean =3.8

Hence probability that X=0 is given by

P(X=0) = $\frac{e^{-3.8} 3.8^{0}}{0!}$

P(X=0) = $\frac{0.02237 * 1}{1}$

P(X=0) = 0.0224

The probability that in a randomly selected year, the number of lightning strikes is 0 is 0.0224

5 0

3 years ago

For a Valentine's Day dance, tickets for couples cost $12 and tickets for individuals cost $8. Suppose 250 students attended the

lakkis [162]

Answer: 105 couple tickets and 40 individual tickets

For this I will use the "Graphing Method"

First, we need to set up two equations.

-> Let x be the number of couple tickets.

-> Let y be the number of individual tickets.

-> It is "2x" because a couple means two.

$12x + $8y = $1,580

2x + y = 250

Next, we will graph this.

-> The point at which the two lines intersect is our solution.

-> See attached.

-> x = 105, so 105 couple tickets

-> y = 40, so 40 individual tickets

Have a nice day!

I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

6 0

2 years ago

Read 2 more answers

Find the area of the shaded region. round answers to the nearest tenth. assume all inscribed polygons are regular. 29.3 units2

FromTheMoon [43]

The picture in the attached figure

we know that
the area of the shaded region is equal to
(2/3)*[area of the circle - the area of the triangle]

step 1
Find the area of a circle Ac
Ac = π r²
Ac = π (6)²
Ac = 113.10 units²

step 2
find the area of the triangle At
The triangle is an equilateral triangle with angles on each corner equal to 60 degrees. Meanwhile,
the 3 angles at the center is 120 degrees each since a circle is 360 degree.
We know that the radius (line from centerpoint to corner) is equivalent to 6.
Using the cosine law,
we can calculate for the length of one side.
s² = 6^ + 6² – 2 (6) (6) cos 120
s² = 108
s = 10.4 units
Since this is an equilateral triangle, therefore, all sides are equal.
The area for this is:
At = (sqrt3 / 4) * s²
At = 46.77 units²

step 3
the area of the shaded region=(2/3)*[area of the circle - the area of the triangle]
the area of the shaded region=(2/3)*[113.10-46.77]------> 44.22 units²

therefore

the answer is
the area of the shaded region is 44.22 units²