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dsp73
3 years ago
5

Use substitution to write an equivalent quadratic equation. (3x + 2)2 + 7(3x + 2) – 8 = 0

Mathematics
2 answers:
ANEK [815]3 years ago
6 0
Let z = 3x+2. Then, by substitution, your equation is
.. z^2 +7z -8 = 0

_____
This equation can be factored as
.. (z +8)(z -1) = 0
.. x = -8 or +1
Then
.. 3x +2 = -8 or +1
.. 3x = -10 or -1
.. x = -10/3 or -1/3

nirvana33 [79]3 years ago
3 0
CORRECT ANSWER : u^2+7u-8=0, where u=3x+2
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Divide $800 between kofi and kweku so that kofi gets three times what kweku gets
AfilCa [17]

Answer:

600 and 200

Step-by-step explanation:

kofi  : kweku     is   3 :1

   so Kofi gets   3 out of ( 3 +1)  = 3/4 of 800  = 3/4 * 800 = 600

         kweku get s the rest   800- 600 = 200  

6 0
1 year ago
Consider f(x) = 2x^2 + 1 and g(x) = 3x - 6. Which statement about f + g is true?
Vika [28.1K]

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Vertex of a quadratic function (formula)

Step-by-step explanation:

8 0
3 years ago
If f(x) = e^[3ln(x^2)], then f'(x) = ?
kherson [118]
You might need to give out the choices, if there are any. thanks for asking.
8 0
3 years ago
Read 2 more answers
A cup of coffee at 85 degrees Celsius is placed in a room at 25 degrees Celsius. Suppose that the coffee cools at a rate of 5 de
bezimeni [28]

Answer: k = - 6.6667

Step-by-step explanation:

this is quite very simple to begin. I would encourage you take other practice questions similar to help with understanding it.

let us begin.

Given that ;

dT/dt = k ( Tm - T)       where Tm is the temp of the medium

dT/dt = 5 degrees Celsius per minute    when T = 70

so we have that, 5 = k ( 25 - 70)

remember to convert 5 degree celsius per minute to seconds

we have that;

5*60(sec) = k ( 25 - 70)  

k = 5*60 / ( 25 - 70)

k = - 6.6667

note K is negative because we consider it for cooling process  (temp decreasing).

cheers i hope this helps!!!

3 0
3 years ago
Please help please ASAP please help ASAP please ASAP ASAP
Fiesta28 [93]

Answer:

2.79

Step-by-step explanation:

Given

With reference angle 21°

hypotenuse (h) = 3

base (b) = x

Now

cos 21° = b / h

0.93 = x / 3

x = 0.93 * 3

x = 2.79

Hope it will help :)

3 0
3 years ago
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