We set up this expression that we have to simplify. Although, to make it an equation, we set the expression given equal to the variable y, making this a function too.
y=x-(2x+5)
distribute the negative symbol
y=x-2x-5
combine like terms
y=-x-5
and that is our final answer
Let's test each alternative :
2 x - 9 y = 38 ( 7,5 ) :
( 2 * 7 ) - ( 9 * 5 ) = 38
14 - 45 = 38
-31 ≠ 38 ( wrong )
( 4 , - 1 ) :
( 2 * 4 ) - ( 9 * ( - 1 ) = 38
8 + 9 = 38
17 ≠ 38 ( wrong )
( 3 , - 3 ) :
2 * ( 3 ) - ( 9 * ( - 3 ) = 38
6 + 27 = 38
33 ≠ 38 ( wrong )
( 1 , - 4 ) :
2* ( 1 ) - 9 * ( - 4 ) = 38
2 + 36 = 38
38 = 38 ( Correct alternative )
( 1 , - 4 ) is correct alternative
<span> ∫ [ln(√t) / t] dx
let √t = u
t= u² → dx = 2u du
substitute in the integral
∫ [ln(√t) / t] dx = ∫ (ln u / u²) 2u du = ∫ (ln u / u²) 2u du = 2 ∫ (ln u / u) du
let ln u = x → d (ln u) = dx→ (1/u)du = dx
substituting again
2 ∫ (ln u / u) du = 2 ∫ x dx= 2 x²/ 2 = x² + c which,
substituting ln² u + c
as of the first
substitution ln²(√t) + c
it concludes that
∫ [ln(√t) / t] dx = ln²(√t) + c
hope it helps
</span>
Answer:
Doesn't look like a geometric sequence.
Step-by-step explanation:
If 1, -4, 16 keeps repeating then the answer is 16.
