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

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