Answer:
20
Step-by-step explanation:
Simplifying
2x2 + 6x + 4 = 24
Reorder the terms:
4 + 6x + 2x2 = 24
Solving
4 + 6x + 2x2 = 24
Solving for variable 'x'.
Reorder the terms:
4 + -24 + 6x + 2x2 = 24 + -24
Combine like terms: 4 + -24 = -20
-20 + 6x + 2x2 = 24 + -24
Combine like terms: 24 + -24 = 0
-20 + 6x + 2x2 = 0
Factor out the Greatest Common Factor (GCF), '2'.
2(-10 + 3x + x2) = 0
Factor a trinomial.
2((-5 + -1x)(2 + -1x)) = 0
Ignore the factor 2.
Subproblem 1
Set the factor '(-5 + -1x)' equal to zero and attempt to solve:
Simplifying
-5 + -1x = 0
Solving
-5 + -1x = 0
Move all terms containing x to the left, all other terms to the right.
Add '5' to each side of the equation.
-5 + 5 + -1x = 0 + 5
Combine like terms: -5 + 5 = 0
0 + -1x = 0 + 5
-1x = 0 + 5
Combine like terms: 0 + 5 = 5
-1x = 5
Divide each side by '-1'.
x = -5
Simplifying
x = -5
Answer:
Sequence 1
Step-by-step explanation:
<u>You need to find the difference between term - the nth term.</u>
<u>The difference / nth term has to to -1/2 (-0.5)</u>
Sequence 1:
-6 * -0.5 = 3 * -0.5 = -3/2 (-1.5) * -0.5 = 3/4 (0.75) * -0.5 = -3/8 (-0.375)
Sequence 2:
4 * -2 = -8 *-2 = 16 * -2 = - 32 * -2 = 64
Sequence 3:
-1/3 ÷ 2 = -1/6 ÷ 2 = 12 ÷ 2 = 24 ÷ 2 = 48
Sequence 4:
400 ÷ -2 = -200 ÷ -2 = 100 ÷ -2 = -50 ÷ -2 = 25
The only sequence with a common ratio of -1/2 is Sequence 1.
this is probably wrong but i got 25.2
Answer:
yes that is right
Step-by-step explanation: