To factorise this quadratic, you need to find two numbers that add together to give -8 but also multiply to give 15. These two numbers can be identified as -3 and -5 as -3-5=-8 and -3×-5=15. Therefore, the factorised form is (x-3)(x-5). To find the solutions, write (x-3)(x-5)=0. Deal with each bracket individually:
x-3=0
x=3
x-5=0
x=5
So the two solutions are 3 and 5.
18 more than 6 in a mathematical expression will be 18 + 6 or 6 + 18. Because we are adding 6 to 18 or 18 to 6.
K = 1
the difference between the two variables is just 1
y=x+1
The answer would be A.
Experimental Probability is a measure based on true statistical results, so here we examine the chart. There are 80 total trials and 15 times, she drew a heart, so we can express this as 15/80. Theoretical probability is based on what is expected to happen. There are 52 total cards in a deck, and 13 hearts, so we can express this as 13/52. Then we can subtract 15/80 from 13/52 to find that the difference is 1/16 and theoretical probability represents the larger fraction.
18. equivalent
16x5 does equal 10x8
19. equivalent
13-0 does equal 0
20. Not equivalent
12-2 doesn’t not equal 7-3
For all three of these equations you have to use PEMDAS (systems of equations) so first you solve everything that’s in parentheses, then any exponents, followed by multiplication,division,addition, and lastly subtraction. You MUST follow that order to get the correct answer.