Solve for x.
Minus 6 from both sides. I will look like this: 5x+6-6=-4-6. It now equals 5x=-10. Divide both sides by by 5. Now, x=-2
Answer: f (x) = 0.75 minus 0.25x
Step-by-step explanation:
In an arithmetic sequence, the consecutive terms differ by a common difference.
The formula for determining the nth term of an arithmetic sequence is expressed as
an = a1 + (n - 1)d
Where
a1 represents the first term of the sequence.
d represents the common difference.
n represents the number of terms in the sequence.
From the information given,
a1 = 0.5
d = 0.25 - 0.5 = - 0.25
n = 25
The rule for the sequence is
an = 0.5 + (n - 1)-0.25
an = 0.5 - 0.25n + 0.25
an = 0.5 + 0.25 - 0.25n
an = 0.75 - 0.25n
Substituting f(x) for an and x for n, it becomes
f(x) = 0.75 - 0.25x
Answer:
x = 12
Step-by-step explanation:
Given
2(x - 3) = 9 + 3(x - 9) ← distribute parenthesis on both sides
2x - 6 = 9 + 3x - 27, that is
2x - 6 = 3x - 18 ( subtract 3x from both sides )
- x - 6 = - 18 ( add 6 to both sides )
- x = - 12 ( multiply both sides by - 1 ), thus
x = 12
Answer:
Step-by-step explanation:
Unless we set x^2 + 8x + 15 equal to zero, we don't have an equation to be solved. I will assume that the problem is actually x^2 + 8x + 15 = 0.
The coefficients of this quadratic are {1, 8, 15}, and so the "discriminant" b^2 - 4ac is (8)^2 - 4(1)(15), or 4. Because the discriminant is positive, we know that there are two real, unequal roots.
Continuing with the quadratic formula and knowing that the discriminant is 4, we get:
-8 ± √4 -8 ± 2
x = ---------------- = --------------- , or x = -2 ± 1: x = -3 and x = -5
2 2
