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alexgriva [62]
2 years ago
15

The function y=x²-4x+8 approximates the height, y, of a bird, and its horizontal distance, x, as it flies from one

Mathematics
1 answer:
trapecia [35]2 years ago
7 0

When the bird is 2 feet away from the first fence post, it reaches its minimum height of 4 feet  , Minimum at (2,4)

Therefore Option C and D is the correct answer.

<h3>What is a Quadratic Function?</h3>

The equation for a quadratic function is given by

y = a(x-h)² +k²

where (h,k) is the extreme value(vertex).

Here the equation given is

y = x²-4x +8

y = x²-4x+4+4

y = (x-2)² +4

Here the value of a = 1 , h = 2 and k = 4

The extreme value is at (2,4)

Therefore When the bird is 2 feet away from the first fence post, it reaches its minimum height of 4 feet  , Minimum at (2,4)

Therefore Option C and D is the correct answer.

To know more about Quadratic Function

brainly.com/question/5975436

#SPJ1

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What is the nth term rule of the quadratic sequence below?<br> 8,14,22,32 ,44, 58, 74...
DanielleElmas [232]

Answer:

y=n^2+3n+4

Step-by-step explanation:

Sequence,S: 8,14,22,32 ,44, 58, 74...

First differences of S: 6,8,10,12,14,16,...

Second differences of S: 2,2,2,2,2,2,....

It is indeed a quadratic since the 1st differences that are the same are the second differences.

So the 1st term is 8. If the 0th term was listes it would be 4 since 8-4=4 and 6-4=2.

This means our quadratic it is in the form

y=an^2+bn+c where c=4.

So we have y=an^2+bn+4.

Now we can find a and b using two points from our sequence to form a system of equations to solve.

(1,8) gives us 8=a(1)^2+b(1)+4

Simplifying gives 8=a+b+4

Subtracting 4 on both sides gives: 4=a+b

(2,14) gives us 14=a(2)^2+b(2)+4

Simplifying gives 14=4a+2b+4

Subtracting 4 on both sides gives 10=4a+2b

So we have the following system to solve:

4=a+b

10=4a+2b

I'm going to solve using elimination/linear combination style.

Dividing second equation by 2 gives the system as:

4=a+b

5=2a+b

Subtract the 2nd equation from the first gives:

-1=-1a

This implies a=1 since -1=-1(1) is true.

If a+b=4 and a=1, then b=3. Because 3+1=4.

So the equation is y=1n^2+3n+4 or y=n^2+3n+4.

8 0
2 years ago
A recipe for 24 cookies calls for 4 tablespoons of sugar. If you make 40 cookies and use 5 tablespoons, will the cookies taste t
uranmaximum [27]

Answer:

Step-by-step explanation:

No, because they wouldn't contain the same amount of sugar per cookie  

for the first recipe - 24 cookies with 6 tablespoons  

thats 6/24 so 0.25 tablespoons of sugar per cookie  

for the second recipe - 36 cookies with 10 tablespoons  

thats 10/36 so 0.276 tablespoons per cookie  

the cookies in the second recipe would be slightly sweeter than the cookies in the first  

5 0
2 years ago
Read 2 more answers
I need a little extra help with number three
diamong [38]

Answer:

The answer to your question is:

Step-by-step explanation:

Data

f(x) = -2x² + 8x - 2

Process

                -2x² + 8x = y + 2

                -2(x² - 4x + 4) = y + 2 - 8

                -2(x - 2)² = y - 6

                    (x - 2)² = 1/2 (y - 6)

Vertex = (2, 6)

Axis of symmetry =   x = 2

y-intercept

                 f(0) = -2(0)² + 8(0) - 2

                 f(0) = 0 + 0 - 2

                 f(0) = -2

Domain    (-∞, ∞)

Range    (-∞, 6]

See the graph below

6 0
2 years ago
Sam scored 59, 64, and 68 on three tests. How many points should he get on the fourth test to get an average score of 70? A. 63.
olga2289 [7]
To find this out the easy way, add up all the numbers and an answer, then divide by 4.
59 + 64 + 68 + 63.67 = 254.67
254.67/4 = 63.66
A is not correct.
59 + 64 + 68 + 65.25 = 256.25
256.25/4 = 69.25
B is not quite correct.
59 + 64 + 68 + 75 = 266.
266/4 = 66.5
C is not correct.
59 + 64 + 68 + 89 = 280
280/4 = 70.
D.) is the correct answer.
I hope this helps!
6 0
3 years ago
Read 2 more answers
The playing surfaces of two foosball tables are similar. The ratio of the corresponding side lengths is 10:7 What is the ratio o
mrs_skeptik [129]
100:49 i think.. hope this helps..
3 0
2 years ago
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