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2 years ago

How many hours is 10:30 am to 6:30 pm?

Mathematics

1 answer:

Sav [38]2 years ago

3 0

I would say 8 but im gonna say 6 cause im a rebel

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The quadratic function g(x) = a.ca + bx+c has the

Mumz [18]

<em>The value of b is 14 and the value of c is 65</em>

<h2>Explanation:</h2>

The quadratic function is a function of the form:

$f(x)=ax^2+bx+c$

Here we know that the leading coefficient $a=1$ so we reduce our equation to:

$g(x)=x^2+bx+c$

The roots are those values at which $g(x)=0$

So:

$x^2+bx+c=0 \\ \\ First \ root: \\ \\ (-7+4i)^2+b(-7+4i)+c=0 \\ \\ (-7)^2-2(7)(4i)+(4i)^2-7b+4bi+c=0 \\ \\ 49-56i+16i^2-7b+4bi+c=0 \\ \\ \\ Simplifying: \\ \\ 49-56i+16(-1)-7b+4bi+c=0 \\ \\ 49-56i-16-7b+4bi+c=0 \\ \\ 33-56i-7b+4bi+c=0 \\ \\ \\$

$Second \ root: \\ \\ (-7-4i)^2+b(-7-4i)+c=0 \\ \\ (-1)^2(7+4i)^2+b(-7-4i)+c=0 \\ \\ (7)^2+2(7)(4i)+(4i)^2-7b-4bi+c=0 \\ \\ 49+56i+16i^2-7b-4bi+c=0 \\ \\ \\ Simplifying: \\ \\ 49+56i+16(-1)-7b-4bi+c=0 \\ \\ 49+56i-16-7b-4bi+c=0 \\ \\ 33+56i-7b-4bi+c=0$

So we have:

$(1) \ 33-56i-7b+4bi+c=0 \\ \\ (2) \ 33+56i-7b-4bi+c=0 \\ \\ \\ Subtract \ 2 \ from: \\ \\ 33-56i-7b+4bi+c-(33+56i-7b-4bi+c)=0 \\ \\ 33-56i-7b+4bi+c-33-56i+7b+4bi-c=0 \\ \\ \\ Combine \ like \ terms: \\ \\ 33-33-56i-56i-7b+7b+4bi+4bi+c-c=0 \\ \\ -112i+8bi=0 \\ \\ Isolating \ b: \\ \\ b=\frac{112i}{8i} \\ \\ \boxed{b=14}$

Finding c from (1):

$33-56i-7b+4bi+c=0 \\ \\ \\ Substituting \ b: \\ \\ 33-56i-7(14)+4(14)i+c=0 \\ \\ 33-56i-98+56i+c=0 \\ \\ -65+c=0 \\ \\ \boxed{c=65}$

<h2>Learn more:</h2>

Complex conjugate: brainly.com/question/2137496

#LearnWithBrainly

5 0

2 years ago

Gaston has created a table regarding the ferret's results in the race. time (in seconds) distance (in feet) 2.5 01 Listed below

LuckyWell [14K]

Answer:

Step-by-step explanation:

6 0

2 years ago

Hannah paid $3.20 for 16 ounces of potato chips. Hank paid $3.23 for 17 ounces of potato chips. Who paid less per ounces?

zzz [600]

Answer:

Hank did. He only paid 3 more cents for 17 ounces so it must be Hank.

8 0

2 years ago

What is the square root of r64?

IceJOKER [234]

Answer:8

Step-by-step explanation:

Simplify the radical.

4 0

2 years ago

Read 2 more answers

margaret is planning a rectangular garden. its length is 4ft less than twice its width. its area is 170 ft squared. what are the

Delvig [45]

Let the width be x, it length is 2x - 4
Area = length x width
x(2x - 4) = 170
2x^2 - 4x - 170 = 0
x^2 - 2x - 85 = 0
x = 10.27

Therefore, the width ≈ 10.27 ft and the length is 2(10.27) - 4 ≈ 16.54

8 0

3 years ago