Answer:
No, the two sets are not disjoint.
Step-by-step explanation:
Set of triangular numbers to 50: 1, 3, 6, 10, 15, 21, 28, 36, 45
Set of square numbers to 50: 1, 4, 9, 16, 25, 36, 49
They have 1 and 36 in common, so they are not disjoint, or in other words, they have some of the same numbers.
Answer:
2x^2 = 6x - 5.
-x^2 - 10x = 34.
These have only complex roots/
Step-by-step explanation:
3x^2 - 5x = -8
3x^2 - 5x + 8 = 0
There are complex roots if the discriminant 9b^2 - 4ac) is negative.
Here the discriminant D = (-5)^2 - 4*-5*8 = 25 + 160
This is positive so the roots are real.
2x^2 = 6x - 5
2x^2 - 6x + 5 = 0
D = (-6)^2 - 4*2*5 = 36 - 40 = -4
So this has no real roots only complex ones.
12x = 9x^2 + 4
9x^2 - 12x + 4 = 0
D = (-12)^2 - 4*9 * 4 = 144 - 144 = 0.
- Real roots.
-x^2 - 10x = 34
x^2 + 10x + 34 = 0
D = (10)^2 - 4*1*34 = 100 - 136 = -36.
No real roots = only complex roots.
R=$350, I=0.05, n=15
A = 350 (1+0.05)^15 = 350(1.05)^15 = 350 (2.0789)=727.62 <- Answer
Answer:
-20 + 12y
Step-by-step explanation:
Equation: 10 - 6(5 - 2y)
Step 1:
10 - 30 + 12y Multiply (5 - 2y) by -6 (distributive property)
Step 2:
-20 + 12y Subtract 10 by 30 (10 - 30 = -20)
