Answer:
x = ±i, x = -3, and x = -1
Step-by-step explanation:
If x = -1 is a solution, then x + 1 is a factor. Using grouping:
x⁴ + 4x³ + 4x² + 4x + 3 = 0
x⁴ + 4x³ + 3x² + x² + 4x + 3 = 0
x² (x² + 4x + 3) + x² + 4x + 3 = 0
(x² + 1) (x² + 4x + 3) = 0
(x² + 1) (x + 3) (x + 1) = 0
All the solutions are x = ±i, x = -3, and x = -1.
D. 15:1
When you convert the 10 feet into inches the number will be 120 inches.
That’s 120:8
Divide by 8...
15:1
So if the number is positive then the opposite is negative, vice versa.
opposite of 4 is -4
opposite of -5 is 5
Answer:
24 miles per gallon
Step-by-step explanation:
Step one:
given data
total distance covered= 480miles
The total amount of gallons used is = 20
The miles per gallon
= 480/20
=24 miles per gallon
Step two:
hence the equation that we used in solving the problem is stated as
miles per gallon= total distance/total gallon sused
Answer:
x∈[2nπ−5π/6, 2nπ−π/6]∪{(4n+1)π/2}, n ϵ I
Step-by-step explanation:
1−2sin2 x≤−sin x ⇒ (2sin x+1)(sin x−1)≥0
sin x≤−1/2 or sin x≥1
−5π/6+2nπ≤x≤−π/6+2nπ or , n ϵ I x=(4n+1)π/2, n ϵ I⇒ -5π6+2nπ≤x≤-π6+2nπ or , n ϵ I x=4n+1π2, n ϵ I (as sin x = 1 is valid only)
In general⇒ In general x∈[2nπ−5π/6, 2nπ−π/6]∪{(4n+1)π/2}, n ϵ I
