Answer:
(3x-4)(x-5)
Step-by-step explanation:
This is in the form
ax²+bx+c.
To factor this, we find factors of a·c that sum to b; this means factors of 3(20) = 60 that sum to -19:
60 = 1(60) or -1(-60); 2(30) or -2(-30); 3(20) or -3(-20); 4(15) or -4(-15); 5(12) or -5(-12); 6(10) or -6(-10). The only of these that sum to -19 are -4 and -15. This means we will split up -19x into -4x and -15x:
3x²-4x-15x+20
Next we group the first two terms and the last two terms:
(3x²-4x)+(-15x+20)
Factor out the GCF of each group. For the first group, this is x:
x(3x-4)
For the second group, this is -5:
-5(3x-4)
The common factor for these two groups is (3x-4):
(3x-4)(x-5)
Answer:
Therefore,
( 2 , -3 ) Lies in Quadrant IV.
Step-by-step explanation:
Quadrant :
The axes of a two-dimensional Cartesian system divide the plane into four infinite regions, called quadrants.
Recall that the coordinate plane has an x-axis that divides into a top and bottom half, and a y-axis dividing into the left and right half. Together they create the four quadrants of the plane.
Numbering is done in Anticlockwise
Quadrant I - x-coordinate is Positive , y-coordinate is Positive.
Quadrant II - x-coordinate is Negative , y-coordinate is Positive.
Quadrant III - x-coordinate is Negative , y-coordinate is Negative.
Quadrant IV - x-coordinate is Positive , y-coordinate is Negative.
Therefore,
( 2 , -3 ) Lies in Quadrant IV.
The fraction would be 7 over 20, or 7/20
The answer is 15 days.
The first step you need to take is to subtract the amount of cards he has from the amount of cards he needs. So 334 (needs) - 214(has) = 120 cards he still needs. So he is collecting 8 cards a day. In order to find out how many days it will take to collect the 120 cards, we need to divide 120 by 8. 120 divided by 8 is 15. So it will take 15 days collecting 8 cards a day in order to reach the 120 cards he still needs to collect.
