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lisabon 2012 [21]
3 years ago
5

8.

Mathematics
1 answer:
shusha [124]3 years ago
5 0

Answer:

Axis of symmetry: x = –1; Vertex: (–1, 0); f(x) = –2x2 – 2x – 1

Step-by-step explanation:

What are the vertex and axis of symmetry of the equation?

The axis of symmetry always passes through the vertex of the parabola . The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola. For a quadratic function in standard form, y=ax2+bx+c , the axis of symmetry is a vertical line x=−b2a .

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The Megasoft company gives each of its employees the title of programmer (P) or project manager (M). In any given year 70% of pr
Ne4ueva [31]

Answer:

it will take a programmer about 16.67 times to work before they are fired

Step-by-step explanation:

From the information given;

The transistion matrix for this study can be computed as:

       P          M         X

P     0.7      0.2        0.1

M     0        0.95     0.05

X      0        0            1

where;

The probability that the programmer remains a programmer = (P *P)

The probability that the programmer turns out to be a manager = (P*M)

The probability that the programmer is being fired = (P*X)

Thus, the required number of years prior to the moment being fired for an employee y(P), for programmer and y(M) for manager is represented by ;

y(P)=1+0.7y(P)+0.2y(M)

y(M)=1+ 0.95y(M).

0.05y(M)=1

y(M) = \dfrac{1}{0.05}

y(M) =20

y(P)=1+0.7y(P)+0.2y(M)

y(P) - 0.7y(P) = 1 + 0.2y(M)

0.3y(P) = 1 + 0.2(20)=1+4

0.3y(P) = 1 + 4

0.3y(P) =  5

y(P)=\dfrac{5}{0.3}

y(P)=16.67

Therefore, it will take a programmer about 16.67 times to work before they are fired

8 0
3 years ago
1. the height of a water bottle in a bathtub, w, is a function of time, t. Let P represent this function. Height is measured in
zhannawk [14.2K]

3. After 10 minutes, the height of the water is 4 inches

Answer:

1) P(20) = 0

2) P(0) = 0

3) P(10) = 4

4) P(4) = 10

Step-by-step explanation:

We are told that the function P(t) denotes the height of the water in the bath tub.

At P(0) = 0, it means that after 0 minutes, there is no water in the bath tub.

1) If after 20 minutes, the bathtub is empty, then we can depict the function as; P(20) = 0

2) The bath tub starts out with no water. It means at 0 minutes, there was no water in the tub. Thus;

P(0) = 0

3) If after 10 minutes, the height of the water is to be 4 inches, then;

P(10) = 4

4) If the height is 10 inches after 4 minutes, then;

P(4) = 10

4 0
3 years ago
Find the product. (7-10x)^2
Alja [10]
I use box method to solve this...: 100x^2+34x+49 I hope you wanted the formula! :)
8 0
4 years ago
Write the equation of the line that is parallel to the line y= -2x+3 and goes through the point (3, -6).​
svetlana [45]

Answer:

y=-2

Step-by-step explanation:

because it's parallel --> a=-2

therefore we have y=-2x+b

the line goes through the point (3,-6) --> (-2).3+b=-6 --> b=0

3 0
3 years ago
What is the difference between 15.24 and 0.73497​
zvonat [6]

Answer:

14.50503

Step-by-step explanation:

All you need to do is subtract them. 15.24-0.73497 is 14.50503

5 0
3 years ago
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