Answer:
2x(x + 3)(2x - 1)
Step-by-step explanation:
Given
4x³ + 10x² - 6x ← factor out 2x from each term
= 2x(2x² + 5x - 3) ← factor the quadratic
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 2 × - 3 = - 6 and sum = + 5
The factors are + 6 and - 1
Use these factors to split the x- term
2x² + 6x - x - 3 ( factor the first/second and third/fourth terms )
= 2x(x + 3) - 1(x + 3) ← factor out (x + 3) from each term
= (x + 3)(2x - 1)
Thus
4x³ + 10x² - 6x = 2x(x + 3)(2x - 1) ← in factored form
The formula for circumference is C = 2πr.
The question gives you the circumference (C in the formula), and you need to find the radius (r in the formula). Begin by isolating r in the circumference formula.
C = 2πr
C/2π = r
r = C/2π
Now you can plug 96 for C and solve to find r.
r = C/2π
r = 96/2π
r ≈ 96/6.28
r ≈ 15.29
Answer:
The radius of a circle with a circumference of 96 feet is approximately 15.29 feet.
The question is incomplete! Complete question along with answer and step by step explanation is provided below.
Question:
Davis wants to pour 5 gallons of punch into ½ gallon jugs How many jugs will he need?
A. 2½
B. 5½
C. 10
D. 15
Answer:
Number of jugs = 10
Davis will need 10 jugs to pour 5 gallons of punch into ½ gallon jugs.
Step-by-step explanation:
David has 5 gallons of punch that he wants to pour into jugs.
The capacity of 1 jug is ½ gallon.
The required number of jugs may be found as
Number of jugs = gallons of punch/capacity of jug
For the given case, we have
Gallons of punch = 5
capacity of jug (in gallons) = ½ = 0.5
So, the required number of jugs is,
Number of jugs = 5/½
Number of jugs = 5/0.5
Number of jugs = 10
Therefore, Davis will need 10 jugs to pour 5 gallons of punch into ½ gallon jugs.
Answer:
48. ..........hhshhxhxx
Step-by-step explanation:
180-42-90=48
