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kogti [31]
3 years ago
14

The function y = x^2 - 4x + 5 approximates the height, y, of a bird, and its

Mathematics
1 answer:
Soloha48 [4]3 years ago
5 0

Answer:

Option C and option D

Step-by-step explanation:

we have that

y=x^{2}-4x+5

This is the equation of a vertical parabola open upward

The vertex is a minimum

Convert the equation into vertex form

Complete the square

y-5=x^{2}-4x

y-5+4=x^{2}-4x+4

y-1=x^{2}-4x+4

y-1=(x-2)^{2}

y=(x-2)^{2}+1 ----> equation of the parabola in vertex form

The vertex is the point (2,1)

therefore

when the bird is 2 feet away from the first fence post, it reaches its minimum height of 1 foot

You might be interested in
What are the roots of this equation? x2-4x+9=0
zysi [14]

Considering the definition of zeros of a function, the zeros of the quadratic function f(x) = x² + 4x +9 do not exist.

<h3>Zeros of a function</h3>

The points where a polynomial function crosses the axis of the independent term (x) represent the so-called zeros of the function.

In summary, the roots or zeros of the quadratic function are those values ​​of x for which the expression is equal to 0. Graphically, the roots correspond to the abscissa of the points where the parabola intersects the x-axis.

In a quadratic function that has the form:

f(x)= ax² + bx + c

the zeros or roots are calculated by:

x1,x2=\frac{-b+-\sqrt{b^{2}-4ac } }{2a}

<h3>This case</h3>

The quadratic function is f(x) = x² + 4x +9

Being:

  • a= 1
  • b= 4
  • c= 9

the zeros or roots are calculated as:

x1=\frac{-4+\sqrt{4^{2}-4x1x9 } }{2x1}

x1=\frac{-4+\sqrt{16-36 } }{2x1}

x1=\frac{-4+\sqrt{-20 } }{2x1}

and

x2=\frac{-4-\sqrt{4^{2}-4x1x9 } }{2x1}

x2=\frac{-4-\sqrt{16-36 } }{2x1}

x2=\frac{-4-\sqrt{-20} }{2x1}

If the content of the root is negative, the root will have no solution within the set of real numbers. Then \sqrt{-20} has no solution.

Finally, the zeros of the quadratic function f(x) = x² + 4x +9 do not exist.

Learn more about the zeros of a quadratic function:

brainly.com/question/842305

brainly.com/question/14477557

#SPJ1

6 0
1 year ago
Please help me. I need help thank you.
STatiana [176]

Answer:

C.

Step-by-step explanation:

the ratio is 1:2

so,

4*2=8\\7*2=14\\1*2=2

the only shape with those numbers is C

Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a great day!

Stay Brainy!

7 0
2 years ago
3 + (6 x (11+1 -4)) ÷ 8 x 2
jolli1 [7]

Answer:

Three plus 6=9 times 11=99+1=100-4=96 divided by 8=12 times 2= 24

3 0
3 years ago
Read 2 more answers
The carpet Danil has chosen for his new recreation room costs $8.99 per square metre. this room measures 15ft by 18ft. how much
Fudgin [204]

Answer:

$225.50 (nearest cent)

Step-by-step explanation:

1 foot ≈ 0.3048 m

Width of room = 15 ft ≈ 15 x 0.3048 = 4.572 m

Length of room = 18 ft ≈ 18 x 0.3048 = 5.4864 m

Area of room = width x length = 4.572 x 5.4864 = 25.0938208... m²

Cost of carpet = $8.99 per m²

Total cost of carpet = 25.0938208 x 8.99 = $225.50 (nearest cent)

3 0
3 years ago
A bag contains marbles that are all the same size. There are 5 green, 7 blue, 2 red and 6 yellow marbles. A student randomly sel
Kobotan [32]

Answer:

1/4

Step-by-step explanation:

8 0
2 years ago
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