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jeka57 [31]
3 years ago
15

Find the value of a and b when a+b = -5, ab = -24​

Mathematics
2 answers:
Olin [163]3 years ago
8 0

Answer:

see explanation

Step-by-step explanation:

Given the 2 equations

a + b = - 5 → (1)

ab = - 24 → (2)

Rearranging (1) expressing a in terms of b, that is

a = - 5 - b → (3)

Substitute a = - 5 - b into (2)

b(- 5 - b) = - 24 ← distribute left side

- 5b - b² = - 24 ( subtract - 5b - b² from both sides )

0 = b² + 5b - 24 ← in standard form

0 = (b + 8)(b - 3) ← in factored form

Equate each factor to zero and solve for b

b + 8 = 0 ⇒ b = - 8

b - 3 = 0 ⇒ b = 3

Substitute these values into (3) for corresponding values of a

b = - 8 : a = - 5 - (- 8) = - 5 + 8 = 3

b = 3 : a = - 5 - 3 = - 8

Thus

a = 3, b= - 8 or a = - 8, b = 3

Serga [27]3 years ago
3 0

Step-by-step explanation:

a= - 5 - b

Subs. the above into...

ab = - 24

(-5-b)b = - 24

Therefore b=-24 or b=19

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erastovalidia [21]

Answer:

-(20+z)/y = x

Step-by-step explanation:

-20=xy +z

Subtract z from each side

-20 -z = xy+z-z

-20 -z = xy

Divide each side by y

(-20 -z)/y = xy/y

Factor out a negative

-(20+z)/y = x

5 0
3 years ago
The function f(x)=/-x is shown on the graph
Katyanochek1 [597]

we know that

For the function shown on the graph

The domain is the interval--------> (-∞,0]

x\leq0

All real numbers less than or equal to zero

The range is the interval--------> [0,∞)

y\geq 0

All real numbers greater than or equal to zero

so

Statements

<u>case A)</u> The range of the graph is all real numbers less than or equal to 0

The statement is False

Because the range is all numbers greater than or equal to zero

<u>case B)</u> The domain of the graph is all real numbers less than or equal to 0

The statement is True

See the procedure

<u>case C)</u> The domain and range of the graph are the same

The statement is False

Because the domain is all real numbers less than or equal to zero and the range is is all numbers greater than or equal to zero

<u>case D)</u> The range of the graph is all real numbers

The statement is False

Because the range is all numbers greater than or equal to zero

therefore

<u>the answer is</u>

The domain of the graph is all real numbers less than or equal to 0



8 0
3 years ago
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Answer:

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Have a great day!

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Uma caixa contém 40 bolinhas de jogo de tênis, sendo 10 verde, 14 azuis e 16 vermelhas. Retirando uma bola ao acaso da caixa, qu
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Answer:

p = 15/40

Step-by-step explanation:

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