Step-by-step explanation:
1. We we can split 4p into 9p - 5p, and now we have 3p² + 9p - 5p - 15 = 0. We can take out 3p from the first 2 terms and -5 from the last 2 terms. This gets us 3p (p + 3) -5 (p + 3) = 0. These two terms have (p + 3) as a common facor, so we can take that out as well, which give us (p + 3)(3p - 5) = ). Using Zero Product Property, p + 3 = 0 and 3p - 5 = 0, and when we solve each equation, we get p = -3, p= 5/3.
2. We will use the same process.
6x² + 14x - 3x - 7 = 0
2x (3x+7) - 1 (3x+7) = 0
(3x + 7)(2x - 1) = 0
3x + 7 = 0, 2x - 1 = 0
x = -7/3, x=1/2
Hope this helps!
£480
2:3:7 = 2+3+7 = 12
2
--- 0f £480 = £80
12
3
--- of £480 = £120
12
7
--- of £480 = £280
12
answer = £80 : £120 : £280
Consider that the initial length and width of the rectangle are given as,
After the length is increased by 10%, the new length (L) of the rectangle is calculated as,
After the width is decreased by 10%, the new width (B) of the rectangle is calculated as,
Then the area (A) of the new rectangle is calculated as,
Thus, the new area of the rectangle is 396 square meters.
