n, n + 2, n + 4 - three consecutive odd integers
366 - the sum
Equation:
n + (n + 2) + (n + 4) = 366
n + n + 2 + n + 4 = 366
3n + 6 = 366 |subtract 6 from both sides
3n = 360 |divide both sides by 3
n = 120
n + 2 = 120 + 2 = 122
n + 4 = 120 + 4 = 124
Answer: 120, 122, 124.
Answer:
n = 4
Step-by-step explanation:
Answer:
(4a - 1 ) (a- 4 )
Step-by-step explanation:
4a^2-17a+4
This one is a bit tricker
We could split the 4a term, but we notice that we need to get to 17 in the middle so my guess is that I will need to leave it as 4
(4a ) (a )
We notice that the 17 is negative and the 4 at the end is positive so both terms will need to be negative
(4a - ) (a- )
The only way to get to add to -17 and multiply to +4
4*-4 + 1*-1 = -16-1 =-17
And -4*-1 = 4
We put the -4 so it will multiply by the 4a
(4a - 1 ) (a- 4 )
1) yes
2) no
3) no
Explanation: try to draw the last two its impossible. The only reason why the first one is a yes is because you could only make a side SLIGHTLY bigger.
Answer:
2.5w² + 14w + 16
Step-by-step explanation:
Width of portrait without frame = w
Height of portrait without frame = 2.5*w = 2.5w
Given that the portrait has a frame that is 2 in wide all along its borders, therefore,
Width of framed portrait = w + 2 + 2 = w + 4
Height of framed portrait = 2.5w + 2 + 2 = 2.5w + 4
Expression of the area of the framed portrait in terms of w = (w + 4)(2.5w + 4)
Simplify and express in standard form as follows:
Area = (w + 4)(2.5w + 4)
Apply the distributive property of multiplication
w(2.5w + 4) +4(2.5w + 4)
2.5w² + 4w + 10w + 16
Combine like terms
Area = 2.5w² + 14w + 16
