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kati45 [8]
3 years ago
12

Probability that exactly one jack, one queen, and one king have been picked from the deck when the first ace turns up

Mathematics
1 answer:
mezya [45]3 years ago
6 0
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Find the equation of the line. The line is parallel to y=-6/7x +1 and passes through the point (-7, -3). The equation of the lin
diamong [38]

Answer:

same slope but the y- intercept would be -9

7 0
3 years ago
What are the zeros to -2x(3x+1)^ 2 (x+7)^7
mixer [17]

Answer:

You can do it

Step-by-step explanation:

5 0
2 years ago
Which function is represented by the graph? f(x) = â’|x â’ 3| 4 f(x) = â’|x 3| 4 f(x) = â’|x â’ 4| 3 f(x) = â’|x 4| 3.
irinina [24]

Functions are used to represent graphs, and vice versa.

The function represented by the graph is f(x) =- |x + 4| + 3

The graph (see attachment) is an absolute value graph.

An absolute value graph is represented as:

f(x) =a |x - h| + k

Where

Vertex = (h,k)

The vertex is the minimum or the maximum point on the graph.

So, we have:

Vertex = (-4,3)

The function becomes

f(x) =a |x + 4| + 3

The function also passes through the point (-1,0).

So, we have:

0 =a |-1 + 4| + 3

0 =a |3| + 3

Remove the absolute bracket

0 =3a + 3

Subtract 3 from both sides

3a =- 3

Divide both sides by 3

a =- 1

Substitute -1 for (a) in f(x) =a |x + 4| + 3

f(x) =- |x + 4| + 3

Hence, the function represented by the graph is f(x) =- |x + 4| + 3

Read more about absolute value graphs at:

brainly.com/question/3381225

4 0
2 years ago
A rope of length 18 feet is arranged in the shape of a sector of a circle with central angle O radians, as shown in the
creativ13 [48]

Answer:

A(\theta)=\frac{162 \theta}{(\theta+2)^2}

Step-by-step explanation:

The picture of the question in the attached figure

step 1

Let

r ---> the radius of the sector

s ---> the arc length of sector

Find the radius r

we know that

2r+s=18

s=r \theta

2r+r \theta=18

solve for r

r=\frac{18}{2+\theta}

step 2

Find the value of s

s=r \theta

substitute the value of r

s=\frac{18}{2+\theta}\theta

step 3

we know that

The area of complete circle is equal to

A=\pi r^{2}

The complete circle subtends a central angle of 2π radians

so

using proportion find the area of the sector by a central angle of angle theta

Let

A ---> the area of sector with central angle theta

\frac{\pi r^{2} }{2\pi}=\frac{A}{\theta} \\\\A=\frac{r^2\theta}{2}

substitute the value of r

A=\frac{(\frac{18}{2+\theta})^2\theta}{2}

A=\frac{162 \theta}{(\theta+2)^2}

Convert to function notation

A(\theta)=\frac{162 \theta}{(\theta+2)^2}

6 0
3 years ago
Solve -(1+7g)-6(-7-g)=36
maria [59]

Eliminate parentheses using the distributive property.

... -1 -7g +42 +6g = 36

... 41 -g = 36 . . . . collect terms

... 41 -36 = g . . . . add g-36 to both sides

... 5 = g . . . . . .. . . your answer

6 0
3 years ago
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