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harina [27]
3 years ago
5

What is the answer to this function p(15)=-2(x-9)^2+100

Mathematics
1 answer:
vovangra [49]3 years ago
4 0

Answer:

28

Step-by-step explanation:

p(x)=-2(x-9)^2+100

Let x= 15

p(15)=-2(15-9)^2+100

Parentheses first

      = -2 ( 6) ^2 + 100

Then exponents

     = -2 * 36 + 100

Then multiply

    = -72 + 100

Then add

   =28

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Avery can run at 10 uph. The bank of a river is represented by the line 4x + 3y = 12, and Avery is at (7, 5). How much time does
Reil [10]
The minimum distance will be along a perpendicular line to the river that passes through the point (7,5)

4x+3y=12

3y=-4x+12

y=-4x/3+12/3

So a line perpendicular to the bank will be:

y=3x/4+b, and we need it to pass through (7,5) so

5=3(7)/4+b

5=21/4+b

20/4-21/4=b

-1/4=b so the perpendicular line is:

y=3x/4-1/4

So now we want to know the point where this perpendicular line meets with the river bank.  When it does y=y so we can say:

(3x-1)/4=(-4x+12)/3  cross multiply

3(3x-1)=4(-4x+12)

9x-3=-16x+48

25x=51

x=51/25

x=2.04

y=(3x-1)/4

y=(3*2.04-1)/4

y=1.28

So now that we know the point on the river that is closest to Avery we can calculate his distance from that point...

d^2=(x2-x1)^2+(y2-y1)^2

d^2=(7-2.04)^2+(5-1.28)^2

d^2=38.44

d=√38.44

d=6.2 units

Since he can run at 10 uph...

t=d/v

t=6.2/10

t=0.62 hours  (37 min 12 sec)

So it will take him 0.62 hours or 37 minutes and 12 seconds for him to reach the river.




8 0
2 years ago
what is 900+100 I'm stuck 100 points for the people who can answer i know its 1000 still 100 points go listen to (joey trap) bar
charle [14.2K]

Answer:

1000

Step-by-step explanation:

x = 1, y = -1, and z = 2

5 0
2 years ago
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Sloan [31]

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6800/ (1/12) = X

X = 81600 (hours)

6800 (6.8 * 10^3) divided by 1/12 (12^-1) equals 81600. It will take 81600 hours for the pool to completely empty at a rate of 0.833333333 or 12^-1 gallons per second.

8 0
3 years ago
Find a solution of the quadratic equation.6x squared + 7x + 2 =0
worty [1.4K]

Given the equation:

6x^2+7x+2=0

We will use the following rule to find the solution to the equation:

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So,

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So, the answer will be option B) x = -1/2, -2/3

5 0
1 year ago
What is 8 x 10 power of 0
Lapatulllka [165]

Question:- Find

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Answer:- we know that

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so by putting the value:-

8 \times  {10}^{0}  \\ 8 \times 1  \\ 8 \: ans

7 0
3 years ago
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