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:
True
Step-by-step explanation:
The polynomial is a perfect square.
Answer:
m = 2/3
b = -3
Step-by-step explanation:
Rearrange the equation to slope-intercept form (y = mx + b).
x and y are points on the graph.
m is the slope.
b is the y-intercept.
Isolate "y". This means separating it from the other numbers.
-2x +3y = -9
-2x + 2x +3y = -9 + 2x Add 2x to both sides
3y = 2x - 9
3y/3 = 2x/3 - 9/3 Divide both sides by 3
y = 2x/3 - 9/3 Simplify
y = (2/3)x - 3
Think about which numbers and "m" and "b" now that the equation is in y = mx + b. Include the plus and minus signs.
m = 2/3
b = -3
Answer:
=
1
2
x2+
20
3
x−3
Step-by-step explanation:
