3 years ago

What are the points of intersection of -x^2+9x-3 and y=3x

Mathematics

1 answer:

ELEN [110]3 years ago

8 0

Answer:

Easiest and fastest way is to graph both equations into a graphing calc and trace the graph to where they intersect.

Alternatively, you can use substitution to solve for your answer.

Step-by-step explanation:

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Let x and y be independent each uniformly distributed on {1,2,...,n} find p(x < y )

bulgar [2K]

If we draw the contingency table of x (vertical) against y (horiz.), we have a square.
For n=4, we have (legend: < : x<y = : x=y > : x>y

y 1 2 3 4
x
1 = < < <
2 > = < <
3 > > = <
4 > > > =

We see that there are n(n-1)/2 cases of x<y out of n^2.
Therefore,
p(x<y)=n(n-1)/(2n^2)=(n-1)/(2n)

However, if the sample space is continuous, it will be simply p(x<y)=1/2.

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3 years ago

Kerry bought a conical tent to put in the back porch. The tent instructions reveal the height at the tallest point to be 4.5 fee

almond37 [142]

15 feet is the answer

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3 years ago

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Find the ratio of x to y if 7/x = 5/y. Help me!!!!

MakcuM [25]

7/x = 5/y
Can be changed to:
5x = 7y
So, x = (7/5)y and
y = (5/7)x

6 0

3 years ago

Mapoela walks 2 km 30 minutes. At that rate, how far could she walk in 1 ½ hours

kogti [31]

Answer:

Step-by-step explanation:

2=30 so 30= 1/2 or an hour so 2+2=4 witch makes an gour half of 2 is 1 so it would make 5

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2 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

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