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djverab [1.8K]
3 years ago
11

The function f(x) = −x2 − 9x + 10 shows the relationship between the vertical distance of a diver from a pool's surface f(x), in

feet, and the horizontal distance x, in feet, of a diver from the diving board. What is a zero of f(x), and what does it represent?
A: x = 1; the diver jumps in the pool at 1 foot per second
B: x = 10; the diver jumps in the pool at 10 feet per second
C: x = 1; the diver hits the water 1 foot away horizontally from the board
D: x = 10; the diver hits the water 10 feet away horizontally from the board
Mathematics
1 answer:
mote1985 [20]3 years ago
4 0

Answer:

Zeros of a function: x = 1 and x = -10

Step-by-step explanation:

A zero of a function is the value of x when f(x) = 0. In other words it is the intersect point between x and y=f(x), when y =0.

First we need to make f(x)=0, so we would have: -x^{2}-9x+10=0.

If we factorize this quadratic function, we would have: (x+10)(x-1)=0

So we get x = -10 and x = 1.

  • x = 1 means that the diver hits the water 1 foot away horizontally from the board.
  • x=-10 means the diver hits the water 10 feet behind the diving board.

Hope it helps!

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b

Step-by-step explanation:

b

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Zanzabum

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C; None of the above.

Step-by-step explanation:

Pretend x=1, y=0, and z=2.

You have to match an answer to 1+0-2 (equals to -1).

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6 0
3 years ago
An electronic system has each of two different types of components in joint operation. Let X and Y denote the lengths of life, i
AURORKA [14]

Answer:

a

The average cost is E(C) = 66

b

The standard deviation of  cost is  \sigma  = 9.798

Step-by-step explanation:

From the question we are told that

          E(X) =  4

          E(Y) =  2

          E(X^2) =  24

           E(Y^2) =  8

The cost of replacing the two component is  C =  50 + 2 X + 4 Y

The variance   of X is mathematically represented as

           V(X) =  E(X^2) - [E(X)]^2

Substituting values  

              V[X] =  24 - 4^2

               V[X] =8

The variance  of Y is mathematically represented as

           V(Y) =  E(Y^2) - [E(Y)]^2

Substituting values  

              V[Y] =  8 - 2^2

               V[X] =4

The average of  replacing the two component is  

        E(C) =  2 * E(X)  + 4* E(Y)

substituting value

         E(C) =  50 + 2 * (4)  + 4* (2)

         E(C) = 66

The variance  of replacing the two component is  

        V(C) = V(50 + 2X +4Y)      Note: The variance of constant is zero

                                                                  and X and  Y are independent  

=>      V(C) =  2^2 * V(X) + 4^2 * V(Y)

substituting values

=>       V(C) =  4 * 8 +  16 * 4        

=>         V(C) =  32 + 64

=>         V(C) = 96

The standard deviation is

         \sigma  =  \sqrt{V(C)}  

substituting values

           \sigma  =  \sqrt{96}

           \sigma  = 9.798

6 0
2 years ago
In the figure below, G is between E and H, and F is the midpoint of EG. if FH=11 and FG=5 , find EH
Gemiola [76]
<span>F is the midpoint of EG
so EF =  FG  = 5
EG =  EF + FG = 5 + 5 = 10

</span>
EH = EF + FH = 5 + 11 = 16

answer
EH = 16
6 0
3 years ago
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