Given the quadratic function, to get the roots we factorize:
3x²-4x-7=0
3x²+3x-7x-7=0
3x(x+1)-7(x+1)=0
(3x-7)(x+1)=0
thus the roots are
x=-1 or x=3/7
thus the sum of the roots will be:
-1+3/7
=-4/7
Since the rectangles are similar. The ratio of their sides will be the same.
So, we can write:

Therefore, the left side of the bigger rectangle will be 12 units in length.
Answer:
5 + i
Step-by-step explanation:
The complex conjugates theorem states that if (a + ib) is a root of a polynomial equation then the complex conjugate (a - ib) will also be its root.
Now, in our case (5 - i) is a root of a polynomial.
The complex number (5 - i) has conjugate and it is (5 + i).
Therefore, (5 + i) will also be a root of the same polynomial. (Answer)
Perimeter Of the table
P = 2 L × 2 W
P = 2(6) × 2(3)
P = 12 + 6
P = 18
No of people
18 ÷ 2 = 9
Answer = 9 people
Answer:
32.67
Step-by-step explanation:
18% of 181.5 is 32.67, which is much easier to solve than 181.5% of 18. It works flipped over.