Answer:
let the two number be x and y then,
x+y=12
x-y=-4
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2x=8
or, x = 4 put the value of x in first equation
4+y= 12
or, y=12-4
or, y= 8 hence the two number is 4 and 8
Answer:
see explanation
Step-by-step explanation:
given the 2 equations
y = x² - 2x - 19 → (1)
y + 4x = 5 → (2)
substitute y = x² - 2x - 19 into (2)
x² - 2x - 19 + 4x = 5 ( subtract 5 from both sides )
x² + 2x - 24 = 0 ← in standard form
(x + 6)(x - 4) = 0 ← in factored form
equate each factor to zero and solve for x
x + 6 = 0 ⇒ x = - 6
x - 4 = 0 ⇒ x = 4
substitute each value of x into (1) for corresponding y- coordinate
x = - 6 : y = (- 6)² - 2(- 6) - 19 = 36 + 12 - 19 = 29 ⇒ (- 6, 29)
x = 4 : y = 4² - 2(4) - 19 = 16 - 8 - 19 = - 11 ⇒ (4, - 11)
the solutions are (- 6, 29), (4, - 11)
Answer:
<h2>A. The series CONVERGES</h2>
Step-by-step explanation:
If 
is a series, for the series to converge/diverge according to ratio test, the following conditions must be met.
If 
< 1, the series converges absolutely
If 
, the series diverges
If 
, the test fails.
Given the series 
To test for convergence or divergence using ratio test, we will use the condition above.
aₙ₊₁/aₙ =
note that any constant dividing infinity is equal to zero
Since The limit of the sequence given is less than 1, hence the series converges.
I think it would be 7.5!!
