On the first spin, the probability that any specific number from 1 to nine inclusive is 1/9. On the second spin, the same value of probability applies. If the spinner is fair, the result from the first spin has no effect on the result of the second spin. therefore:
Answer:
(4, 3 ) and (1.5, 8 )
Step-by-step explanation:
Given the 2 equations
2x + y = 11 → (1)
xy = 12 → (2)
Rearrange (1) expressing y in terms of x by subtracting 2x from both sides.
y = 11 - 2x → (3)
Substitute y = 11 - 2x into (2
x(11 - 2x) = 12 , that is
11x - 2x² = 12 ( subtract 12 from both sides )
11x - 2x² - 12 = 0
2x² - 11x + 12 = 0 ← in standard form
(x - 4)(2x - 3) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 4 = 0 ⇒ x = 4
2x - 3 = 0 ⇒ 2x = 3 ⇒ x = 1.5
Substitute these values into (3) for corresponding values of y
x = 4 : y = 11 - 2(4) = 11 - 8 = 3 ⇒ (4, 3 )
x = 1.5 : y = 11 - 2(1.5) = 11 - 3 = 8 ⇒ (1.5, 8 )
Answer:
x = 2, x = - 2
Step-by-step explanation:
3x² - 12 = 0
3x² = 12
x²= 12/3
x²= 4
√x² = +/- √4
x = +/- 2
x = 2, x = -2
First you would have to multiply (1200)(3%)(7) which would be 252.then you add what jamie invested and 252. therefore she would have $1452 in his account after 7 years.
Answer:
The number 43 is a composite number because 42 can be divided by 1, by itself and at least by 2, 3, and 7. So it is possible to draw its prime tree. The prime factorization of 42=2*3*7
Step-by-step explanation:
hope this helps :)