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egoroff_w [7]
3 years ago
8

The function y = x 2 – 4x + 8 approximates the height, y, of a bird, and its horizontal distance, x, as it flies from one fence

post to another. All distances are in feet. Complete the square to find and interpret the extreme value (vertex). Select two answers: one extreme value and one interpretation
Mathematics
1 answer:
Alla [95]3 years ago
3 0

Answer:

Exterme Value: (2,4).

The bird reaches its minimum height which is 4ft affter covering a horizontal distance of 2 ft.

Step-by-step explanation:

The given function is y=x^2-4x+8.

We add and subtract the square of half the coefficient of x.

y=x^2-4x+(-2)^2-(-2)^2+8.

The first three terms form a perfect quadratic trinomial.

y=(x-2)^2+4.

This function is now written in the form y=a(x-h)^2+k, where (h,k) is the extreme value(vertex).

The extreme value or the vertex is (2,4).

Interpretation:

The bird reaches its minimum height which is 4ft affter covering a horizontal distance of 2 ft.

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What solution is <br> y=9x+35<br> y=-8/9x+4/5
Ainat [17]

Answer:

x=-1539/445, y=1724/445. (-1539/445, 1724/445).

Step-by-step explanation:

y=9x+35

y=-8/9x+4/5

-------------------

9x+35=-8/9x+4/5

9x-(-8/9x)=4/5-35

9x+8/9x=4/5-175/5

81/9x+8/9x=-171/5

89/9x=-171/5

x=(-171/5)/(89/9)

x=(-171/5)(9/89)

x=-1539/445

y=9(-1539/445)+35

y=1724/445

6 0
3 years ago
An international company has 25,800 employees in one country. If this represents 31.1% of the companies employees, how many empl
aksik [14]

Answer:

Rounded to the nearest integer, the company has a total of 82,958 employees.

Step-by-step explanation:

Given that an international company has 25,800 employees in one country, if this represents 31.1% of the companies employees, to determine how many employees does it have in total, the following calculation must be performed:

31.1 = 25,800

100 = X

100 x 25,800 / 31.1 = X

2,580,000 / 31.1 = X

82,958.1 = X

Thus, rounded to the nearest integer, the company has a total of 82,958 employees.

3 0
3 years ago
Is -0.3 with the line over the 3, a rational, irrational number or integer?​
IrinaK [193]

Answer:

rational because the line over the three means the three repeats

decimal values that terminate or repeat are rational

Step-by-step explanation:

4 0
3 years ago
(-6x + 3) + (X - 7) add linear expressions
Leni [432]
-6x + 3 + x - 7...when ur adding expressions such as this, and there is a plus sign in between them, the parenthesis are not needed.

we now combine like terms...
-6x + x = -5x
3 - 7 = -4

and we are left with : -5x - 4 <==
3 0
3 years ago
HELP
Lostsunrise [7]

Answer:

A.

{b}^{2}  + 3b - 3 = 0

Step-by-step explanation:

{b}^{2}  + 3b - 3 = 0 \\ because \:  \:  {b}^{2}  < 4ac \\ {b}^{2}    = {3}^{2}  = 9 \\ 4ac = 4 \times 1 \times  - 3 =  - 12 \\ hence :  {b}^{2}  < 4ac

3 0
2 years ago
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