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lions [1.4K]
2 years ago
12

Estimate how far he ran in 4 seconds. and Is Kiran's time a function of the distance he has run?

Mathematics
1 answer:
AysviL [449]2 years ago
3 0

Answer:

1.5 for how far he ran in 4 seconds

Step-by-step explanation:

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Complete the square y=x^2+6x+8
andreyandreev [35.5K]

Answer:

y = (x+3)² - 1

Step-by-step explanation:

To complete the square take the middle term b and divide by 2. Then square the value.

Here b = 6.

So 6/2 = 3

3² = 9

Add 9 to both sides of the equation.

x² + 6x + 8 = 0

x² + 6x + 9 + 8 = 9

(x+3)² - 1 = y

8 0
3 years ago
When a polynomial is divided by (x+2), the remainder is -19. When the same polynomial is divided by (x-1), the remainder is 2. D
NeTakaya
<h3>Answer:   7x - 5</h3>

============================================

Explanation:

We're dividing some unknown polynomial P(x) over (x+2) to get a quotient Q1(x) and remainder -19. That must mean

P(x)/(x+2) = Q1(x) - 19/(x+2)

P(x) = Q1(x)*(x+2) - 19

Note that plugging in x = -2 leads to P(-2) = -19. This is an example of the remainder theorem.  

Similarly,

P(x) = Q2(x)*(x-1) + 2

since dividing by (x-1) leads to a remainder of 2. We have P(1) = 2.

We'll use P(-2) = -19 and P(1) = 2 in the later sections below.

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

We want to find the value of r such that

P(x) = Q3*(x+2)(x-1) + r

Let's say that r = ax+b

Meaning we now have

P(x) = Q3*(x+2)(x-1) + r

P(x) = Q3*(x+2)(x-1) + ax+b

The goal from here is to find 'a' and b so we can get the remainder ax+b.

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

Plug in x = -2 and solve for b.

P(x) = Q3*(x+2)(x-1) + ax+b

P(-2) = Q3*(-2+2)(-2-1) + a(-2)+b

-19 = Q3*(0)(-3)-2a+b

-19 = -2a+b

b = 2a-19

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

Plug in x = 1 to get...

P(x) = Q3*(x+2)(x-1) + ax+b

P(1) = Q3*(1+2)(1-1) + a(1)+b

P(1) = a+b

2 = a+b

a+b = 2

a+(2a-19) = 2 .... plug in b = 2a-19

3a-19 = 2

3a = 19+2

3a = 21

a = 21/3

a = 7

Use that value to find b

b = 2a-19

b = 2(7)-19

b = 14-19

b = -5

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

We found that a = 7 and b = -5.

The remainder ax+b updates to the final answer 7x-5

6 0
3 years ago
How do I solve (21/12)/(7/12) ?<br>Is the answer 3?
alukav5142 [94]
It is! When you're doing a fraction specifically like that, the denominators cancel out. Therefore you can get rid of the 12. It just becomes 21/7, which as you know is 3.

Hope that helps :)
5 0
3 years ago
If 2+2=22 explain why john is an IDIOT!
Paladinen [302]
John is cool leave him alone pls what did he ever do
6 0
3 years ago
Read 2 more answers
10.
Pie

Answer:

e find Ad. Explain your answer

4 0
3 years ago
Read 2 more answers
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