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3 years ago

Help please!!!

Mathematics

1 answer:

marysya [2.9K]3 years ago

4 0

Answer:

see explanation

Step-by-step explanation:

Given the 2 equations

y = x² + 2x + 7 → (1)

y - 7 = x → (2)

Rearrange (2) expressing y in terms of x by adding 7 to both sides

y = x + 7 → (3)

Substitute y = x + 7 into (1)

x + 7 = x² + 2x + 7 ( subtract x + 7 from both sides )

0 = x² + x ← factor out x from each term

0 = x(x + 1)

Equate each factor to zero and solve for x

x = 0

x + 1 = 0 ⇒ x = - 1

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

x = 0 → y = 0 + 7 = 7

x = - 1 → y = - 1 + 7 = 6

The solutions are

(- 1, 6 ) and (0, 7 )

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2 years ago

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3 years ago

Read 2 more answers

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Answer:

The probability of every simple event is:

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Step-by-step explanation:

For simple event B, the probability is calculate as have a boy in the first birth, so: P(B)=0.5

Then, for the event GB, the probability is calculated as the multiplication of the probability of have a girl in the first birth and have a boy in the second, so:

P(GB)= 0.5 *  0.5 =0.25

have a girl have a boy

At the same way for the event GGB, the probability is calculated as the multiplication of the probability of have a girl in the first and second birth and have a boy in the third, so:

P(GGB)=0.5*0.5*0.5=0.125

For the event GGGB, the probability is calculated as the multiplication of the probability of have a girl in the first, second and third birth and have a boy in the fourth, so:

P(GGGB)=0.5*0.5*0.5*0.5=0.0625

Finally, for the event GGGG, the probability is calculated as the multiplication of the probability of have a girl in the first, second, third and fourth birth, so:

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3 years ago