−
2
3
(
x
+
3
5
)
=
1
2
Step 1: Simplify both sides of the equation.
−
2
3
(
x
+
3
5
)
=
1
2
(
−
2
3
)
(
x
)
+
(
−
2
3
)
(
3
5
)
=
1
2
(Distribute)
−
2
3
x
+
−
2
5
=
1
2
Step 2: Add 2/5 to both sides.
−
2
3
x
+
−
2
5
+
2
5
=
1
2
+
2
5
−
2
3
x
=
9
10
Step 3: Multiply both sides by 3/(-2).
(
3
−
2
)
*
(
−
2
3
x
)
=
(
3
−
2
)
*
(
9
10
)
x
=
−
27
20
Answer:
x
=
−
27
20
March is 8 months away from August and the target amount is $600.
August = $50
September = $50 + (0.2*50)=$60
October = $60 + (0.2*60)=$72
November=$72+(0.2*72)=$86.4
December=$86.4 + (0.2*$86.4)=$103.68
January=$103.68+(0.2*103.68)= $124.416
February=$124.416+(0.2*124.416)=$149.3
March=$149.3 +(0.2*149.4)=$179.2
Total amount = $824.6
Yes, she will have money for the trip
5/x^2-1^2 + 3/x+1
5/(x+1)(x-1) + 3/x+1
5+3(x-1)/(x+1)(x-1)
5+3x-3/(x+1)(x-1)
Final answer : 3x+2/(x+1)(x-1)
Answer:
If the roots of an equation are x = -1 ± i, it means that the factorized form of that equation is: (x + 1 + i)(x+ 1 - i) = 0.
Using the distributive property, we have:
(x + 1 + i)(x+ 1 - i) = x^2 + x - ix + x + 1 - i + ix + i + 1
Combining like-terms and simplifying:
⇒ x^2 + x + x + 1 + 1 = x^2 + 2x + 2 = 0
Therefore, the stament is correct. If the roots of an equation are x = -1 ± i, then the equation is: x^2 + 2x + 2 = 0.
Answer:
9
Step-by-step explanation:
