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Nutka1998 [239]
3 years ago
8

X + y = 8 2x2 – y = –5

Mathematics
1 answer:
kherson [118]3 years ago
5 0

Answer:

x=-2,y=10

Step-by-step explanation:

y=8-x.............equation 1

4-y=-5..........equation 2

Now,

putting the value of y in equation 2,

4-(8-x)=-5

4-8+x=-5

-3+x=-5

x=-5+3

x=-2

Then,

putting the value of x in equation 1

y=8+2

y=10

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Answer:15.5

Step-by-step explanation:

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Madame curie made some radium in her lab. she used 2/5 kg of the radium in an experiment and had 1 1/4 kg left. how much radium
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SHE HAD 3/5 TO START I BELIEVE


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2 years ago
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Which equation can you solve to find the potential solutions to the equation log2x log2(x – 6) = 4? x2 – 6x – 4 = 0 x2 – 6x – 8
sergeinik [125]

To solve the question we must know about Logarithm.

<h2>Logarithm</h2>

A log function is a way to find how much a number must be raised in order to get the desired number.

a^c =b

can be written as

\rm{log_ab=c

where a is the base to which the power is to be raised,

b is the desired number that we want when power is to be raised,

c is the power that must be raised to a to get b.

For example, let's assume we need to raise the power for 10 to make it 1000 in this case log will help us to know that the power must be raised by 3.

\rm{log_{10}1000=3

The value of input can not be negative, the value of x is 8.

<h2>Given to us</h2>
  • \rm{ log_2x+log_2(x-6)= 4

<h2>Solution</h2>

\rm{ log_2x+log_2(x-6)= 4

  • Using log_ab + log_ac = log_a(bc),

        \rm{ log_2x(x-6)= 4

  • Taking antilog,

        x(x-6)= 2^4

  • Doing factorization

        x^2 -6x -16=0\\&#10;x^2 -8x +2x-16=0\\&#10;x(x-8)+2(x-8)=0\\&#10;(x+2)(x-8) = 0

Equating factors against 0,

1.    (x+2)=0\\&#10;x=-2

2.     (x-8)=0\\&#10;x=8

As the value of input can not be negative, the value of x is 8.

Hence, the value of x is 8.

Learn more about Logarithm:

brainly.com/question/3072484

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2 years ago
Complete y^2+15y+56=(y+7)(y+?) ...?
Rufina [12.5K]
The two factors of a quadratic equation can be multiplied to form the original equation. Let the missing term be a:
y² + 15y + 56 = (y + 7)(y + a)
y² + 15y + 56 = y² + (7 + a)y + 7a
We can now compare the coefficient of the like terms, either the one with y or the one without y, and find the value of a.
15 = 7 + a; a = 8
OR
56 = 7a; a = 8

Second factor is (y + 8)
5 0
3 years ago
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