1200 (1+.8 * 30/12) = 1740.00
1740.00 - 1200 = $540
The only root is -2. The roots are where the function goes through the x-axis. This polynomial goes through in lots of places, but the only answer that matches is -2
To find the experimental probability, you will add the outcomes that resulted in even number and make that a ratio to the total number of outcomes.
<u>(12 + 14 + 18)</u>
(13 + 12 + 12 +14 + 11 + 18)
44/80 = 0.55
0.55 = 55%
The answer is choice D.
First question:
1. Set equations equal to each other so 5x-9=2x+6
2. Put x's on one side so that 3x=15
3. Divide by 3 so that x=15
4. Substitute 15 in for x so that y=2(15)+6
5. Solve for y so that y=36
6. Thus the equations intersect at (15,36)
Second question:
1. Since for lines y=mx+b, and m=slope=3 you only need to write an equation with slope 3
2. y=3x+b, b can be any number
Because ABCD is an isosceles trapezoid, the angles A and D are congruent.
BA and CD are congruent (given) and AD is congruent to itself (reflexive property).
Then triangles BAD and CDA form a pair of SAS triangles, so they are congruent.
BD and CA are corresponding parts in those triangles, so they are congruent (CPCTC).