Consider U = {x\x is a positive integer greater than 1}.

Graph the system of equations. Then determine whether the system has no solution, one solution, or infinitely many solutions. If

pav-90 [236]

Answer:

Second option: One solution. Independent.

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

$y=mx+b$

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

Since the equations of the system have this form, we know that they are lines.

We can identify that the y-intercept of the first equation $y=-5x+1$ is:

$b=1$

Now we need to find the x-intercept. Substitute $y=0$ and solve for "x":

$0=-5x+1\\\\5x=1\\\\x=\frac{1}{5}=0.2$

Then, we can graph the first line which passess through the points (0,1) and (0.2,0). Observe the graph attached.

The y-intercept of the second equation $y=-2x-2$ is:

$b=-2$

Now we need to find the x-intercept. Substitute $y=0$ and solve for "x":

$0=-2x-2\\\\2x=-2\\\\x=\frac{-2}{2}=-1$

Then, we can graph the second line, which passess through the points (0,-2) and (-1,0).

You can observe in the graph that the lines intersect at the point (1,-4). Therefore, that point is the solution of the system of equations.

Since the lines intersect, then there is one solution that is true for both equations. It is independent

4 0

3 years ago

Below are 36 sorted ages of an acting award winner. find the percentile corresponding to age 3838 using the method presented in

horrorfan [7]

Question:

Below are 36 sorted ages of an acting award winner. find the percentile corresponding to age 38 using the method presented in the textbook. 18 19 20 20 21 23 25 31 33 34 35 37 38 47 50 51 55 55 58 59 62 62 64 66 69 70 70 70 71 71 72 74 74 75 77 80 percentile of value 38 = ______ (round to the nearest integer as needed.)

Answer:

33 percentile

Step-by-step explanation:

Given the ages:

18, 19, 20, 20, 21, 23, 25, 31, 33, 34, 35, 37, 38, 47, 50, 51, 55, 55, 58, 59, 62, 62, 64, 66, 69, 70, 70, 70, 71, 71, 72, 74, 74, 75, 77, 80.

We are told to find the percentile corresponding to age 38.

To find the percentile corresponding to age 38 simply means to find the percentage of ages that are less than 38.

From the given values, the number of ages less than 38 are 12. Therefore, the percentile corresponding to age 38 would be:

(Ages less than 38/ total number of ages) * 100

$= \frac{12}{36} * 100 = 33.333$

33.333 ≈ 33

The percentile corresponding to age 38 = 33 percentile

5 0

3 years ago

Eli and Karl each throw a basketball straight up in the air at the same time. Eli is standing on a deck and the height of his ba

tino4ka555 [31]

We are to find the time at which the height of basketball thrown by Eli and Karl is equal. We have the functions which model the heights of both basketballs. So by equating the functions representing the height of both basketballs we can find the value of x from that equation at which the height is same for both basketballs.

$-4.9 x^{2} +12x+2.5=-4.9 x^{2} +14x \\ \\ 
12x+2.5=14x \\ \\ 
2.5=2x \\ \\ 
x=1.25$

Thus after 1.25 seconds the height of basketballs thrown by Eli and Karl will be at the same height. This can be verified by finding the heights of both at x=1.25

For Eli:
$Height=f(1.25)=-4.9 (1.25)^{2}+12(1.25)+2.5=9.84375$

For Karl:
$Height=f(1.25)=-4.9 (1.25)^{2}+14(1.25)=9.84375$

Thus height of both basketball is equal after 1.25 seconds

5 0

3 years ago

Read 2 more answers

anyone know the answer i worked it out but didn't know where i messed up so i am just gonna ask for someone to help me with it.

hram777 [196]

I also worked it out but I got -5/3

2(6p-5) ≥ 3(p-8) -1

12p-10 ≥ 3p-24-1

12p-10 ≥ 3p-25

12p-3p ≥ -25+10

9p ≥ -15

-15/9

P ≥ -5/3

5 0

3 years ago

Find an equation of a plane containing the line r=⟨−5,−1,−1⟩+t⟨−6,10,−5⟩r=⟨−5,−1,−1⟩+t⟨−6,10,−5⟩ which is parallel to the plane

rodikova [14]

Put the coordinates of the point in for x, y, and z and see what the new constant is.

Your plane is
5x +4y +2z = -31

7 0

3 years ago