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3 years ago

Please help ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.

Mathematics

1 answer:

sweet [91]3 years ago

5 0

Answer:

D. Minimum at (3, 7)

Step-by-step explanation:

We can add and subtract the square of half the x-coefficient:

y = x^2 -6x +(-6/2)^2 +16 -(-6/2)^2

y = (x -3)^2 +7 . . . . . simplify to vertex form

Comparing this to the vertex for for vertex (h, k) ...

y = (x -h)^2 +k

We find the vertex to be ...

(3, 7) . . . . vertex

The coefficient of x^2 is positive (+1), so the parabola opens upward and the vertex is a minimum.

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Identify this sequence: 5, 15, 45, 135, …<br> Arithmetic<br> Geometric<br> Neither

user100 [1]

Answer:

5 * 2 is 10 + 5 and then 15 * 2 + 15 45 * 2 + 45

Step-by-step explanation:

times it by to add that number

3 0

3 years ago

Read 2 more answers

A rock was thrown from the top of a cliff such that its distance above sea level was given by s(t)= at² + bt + c, where t is the

frutty [35]

Answer:

Step-by-step explanation:

The question is incomplete. Here is the complete question.

'A rock was thrown from the top of a cliff such that its distance above sea level was given by s(t)=at²+bt+c, where t is the time in seconds after the rock was released. After 1 second the rock was 63 m above sea level, after 2 seconds 72 m, and after 7 seconds 27 m. a. Find a, b and c and hence an expression for s(t). b. Find the height of the cliff. c. Find the time taken for the rock to reach sea level.'

Given the equation of the distance modelled as s(t)=at²+bt+c

If after 1 second the rock was 63 m, then 63 = a+b+c

If after 2 seconds, the distance was 72 m then 72 = 4a+2b+c

Also if after 7 seconds, the distance is 27 m, then 27 = 49a+7b+c

i) Solving the 3 equations simultaneously to get a, b and c we have;

a+b+c = 63 ... 1

4a+2b+c = 72 ...2

49a+7b+c = 27 ...3

Subtracting 2 from 1 and 3 from 2 we will generate 2 new equations as shown;

eqn 2- eqn1: 3a + b = 9...4

eqn 3- eqn 2: 45a + 5b = -45

eqn 3- eqn 2: 9a+b = -9 ... 5

solving 4 and 5 simultaneously

3a + b = 9 ...4

9a+b = -9 ... 5

Taking the difference of 4 and 5 we have

6a - -9-9

6a = -18

a = -3

substituting a = -3 into equation 4 to get b we have;

3(-3)+b = 9

-9 + b = 9

b = 9+9

b = 18

substituting a = -3 and b = 18 into equation 1 to get c we have;

-3+18+c = 63

15+c = 63

c = 48

a = -3, b= 18 and c = 48

The distance function will be s(t) = -3t²+18t+48

ii) If the height of the cliff is modelled by the equation s(t)=at²+bt+c

The height of the cliff is at when t = 0

s(0) = -3(0)²+18(0)+48

s(0) = 48m

The height of the cliff is 48m

iii) At the sea level, the height of the rock will be 0m, substituting this into the modeled equation for the height to get the time we have;

s(t)=at²+bt+c

0 = -3t²+18t+48

3t²-18t-48 = 0

t² - 6t - 16 =0

t² - 8t+2t - 16 = 0

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

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

t = -2 or 8

Taking the positive value of the time, t = 8secs

Time taken for the rock to reach sea level is 8secs

7 0

3 years ago

How would I set up this equation? Thank you

algol [13]

Y + 2 = x, or y + 12 = 2x

5 0

3 years ago

A salsa recipe uses green pepper, onion, and tomato in the extended ratio 2:3:7. How many cups of onion are needed to make 36 cu

Readme [11.4K]

2:3:7...added = 12

green pepper : 2/12(36)....1/6(36) = 6 cups
onion : 3/12(36)....1/4(36) = 9 cups <==
tomato : 7/12(36) = 21 cups

6 0

3 years ago

Read 2 more answers

PLEASE HELP!!!

ki77a [65]

Part A:
I have attached the graph of this system of inequalities.

Part B:
Plug in (8,10) into both equations

10 > 3(8) + 10
10 > 24 + 10
10 > 34

This is false!

10 < (-3/4)(8) - 1
10 < (-3)(2) - 1
10 < -6 - 1
10 < -7

This is also false!

So, (8,10) is not included in the solution area for the system.

3 0

3 years ago