Answer:
Step-by-step explanation:
The discriminant is used to determine the number and nature of the zeros of a quadratic. If the discriminant is positive and a perfect square, there are 2 rational zeros; if the discriminant is positive and not a perfect square, there are 2 rational complex zeros; if the discriminant is 0, there is 1 rational root; if the discriminant is negative, there are no real roots.
The roots/solutions/zeros of a quadratic are where the graph goes through the x axis. Those are the real zeros, even if they don't fall exactly on a number like 1 or 2 or 3; they can fall on 1.32, 4.35, etc. They are still real. If the graph doesn't go through the x-axis at all, the zeros are imaginary because the discriminant was negative and you can't take the square root of a negative number. As you can see on our graph, the parabola never goes through the x-axis. Therefore, the zeros are imaginary because the discriminant was negative. Choice C. Get familiar with your discriminants and the nature of quadratic solutions. Your life will be much easier!
PART A :OK so here is the table for the health inspector; all you are really doing is 7+7+7, and so on:
PART A: health inspector: 7,14,21,28,35,42,49,56,63,70,77,84..........
PART A:same thing for the fire inspector, except this time your adding 12+12+12, and so on:
PART A: fire inspector: 12,24,36,48,60,72,84,96.......
PART B: and to figure out what day they will both come is you have to find the LCM (least common multiple)
PART B: which in this case is Day 84
hopes this helps!!!!!
Answer:
The correct answer is C. 8.15%.
Step-by-step explanation:
Given that Natasha is a bank teller, and she received a 5% raise last year and a subsequent merit raise of 3% this year, to determine what is the accumulative or compound effect of these two raises as a percentage, the following calculation must be performed, assuming, as an example, that her starting salary was $ 2,000:
(2,000 x 1.05) x 1.03 = X
2,100 x 1.03 = X
2,163 = X
2,000 = 100
2,163 = X
2,163 x 100 / 2,000 = X
216,300 / 2,000 = X
108.15 = X
108.15 - 100 = 8.15
Thus, the compound effect of both salary increases is a salary increase of 8.15%.
The slope is 0.1
To find a perpendicular slope, find the negative reciprocal.
The reciprocal of 0.1 is 10
The negative of 10 is -10
Final answer:-10
The greatest number of friends who can receive a necklace is 6. The reason why is because 6 is the greatest common factor of 72 and 42.
Each friend will have 12 blue beads and 7 red beads. If you divide 6 (GCF) with both numbers you get 12 and 7.
Hope this helps :3
