Answer:
see explanation
Step-by-step explanation:
(a)
Given
2k - 6k² + 4k³ ← factor out 2k from each term
= 2k(1 - 3k + 2k²)
To factor the quadratic
Consider the factors of the product of the constant term ( 1) and the coefficient of the k² term (+ 2) which sum to give the coefficient of the k- term (- 3)
The factors are - 1 and - 2
Use these factors to split the k- term
1 - k - 2k + 2k² ( factor the first/second and third/fourth terms )
1(1 - k) - 2k(1 - k) ← factor out (1 - k) from each term
= (1 - k)(1 - 2k)
1 - 3k + 2k² = (1 - k)(1 - 2k) and
2k - 6k² + 4k³ = 2k(1 - k)(1 - 2k)
(b)
Given
2ax - 4ay + 3bx - 6by ( factor the first/second and third/fourth terms )
= 2a(x - 2y) + 3b(x - 2y) ← factor out (x - 2y) from each term
= (x - 2y)(2a + 3b)
Answer:
Step-by-step explanation:
The equation is x<= 5.
So 5 and all the numbers less than 5 would be an answer for x.
So you would put a closed dot on 5, because x can equal 5. Then put a line pointing right to all the numbers less than 5.
I am assuming you do not mean The length of a triangle and you mean The length of a rectangle because the answer you given are the formula for the perimeter of a rectangle. With that said, the answer is D<span>.2w+2*(3w)112
The perimeter of a rectangle can be found by the following equation:
2L + 2W = P
OR
P = 2L + 2W
The equation </span>P = 2L + 2W is read perimeter = 2 times Length + 2 times width
The Question:
<span>The length of a rectangle is three times its width.if the perimeter is at its most 112 centimeters ,which is the greatest possible value of the the width.
</span>
The length of a rectangle
This means the perimeter
is
The word is means to use an equal sign
three times its width
This means 3 times w or 3w
The w = width
perimeter is at its most 112
This means <=
<= means less than or equal to
Ok so lets look at our equation
2L + 2W = P
2w + 2(3w) <= 112
Well you basically use rise/run so basically you choose two points on the line and you count how many squares it goes up until its on the same line as the other point and then you count how many squares to the side to get to the other point so rise/run ill explain it a lil better
Step-by-step explanation:
6:8=9:12=12:16=15:20
