The factored form of the given expressions are
y = (x -2)(x +7)
y = (x +6)(x -9)
y = (x +2)(x +6)
y = (x -5)(x -6)
y = (x +5)(x -5)
y = (x -1)(x +9)
y = (x +4)(x -4)
<h3>Factoring quadratic expressions</h3>
From the question we are to factor the given quadratic expressions
y = x² +7x -2x - 14
y = x(x +7) -2(x +7)
y = (x -2)(x +7)
y = x² -9x +6x - 54
y = x(x -9) +6(x -9)
y = (x +6)(x -9)
y = x² +6x +2x +12
y = x(x +6) +2(x +6)
y = (x +2)(x +6)
y = x² -6x -5x +30
y = x(x -6) -5(x -6)
y = (x -5)(x -6)
y = (x +5)(x -5)
y = x² +9x -x -9
y = x(x +9) -1(x +9)
y = (x -1)(x +9)
y = (x +4)(x -4)
Hence, the factored form of the given expressions are
y = (x -2)(x +7)
y = (x +6)(x -9)
y = (x +2)(x +6)
y = (x -5)(x -6)
y = (x +5)(x -5)
y = (x -1)(x +9)
y = (x +4)(x -4)
Learn more on Factoring quadratic expressions here: brainly.com/question/52959
#SPJ1
Answer:
$36 per day plus $0.22 per mile
Step-by-step explanation:
For Ben,
Total miles driven = 550 miles
Number of days = 6 days
Total cost = $337
For Lisa
Total miles driven = 350 miles
Number of days = 3 days
Total cost = $185
Solving Simultaneously;
6d + 550m = 337
3d + 350 m = 185
Multiply equation 2 by 2 we have
6d + 550m = 337 ----1
6d + 700m = 370------2
So;
Subtracting equation 1 from equation 2
150m = 33
m = 33/150
m = $0.22
Substitute m=0.22 into equation 1
6d + 550(0.22) = 337
6d + 121 = 337
6d = 337 - 121
6d = 216
d = 216/6
d = $36
Hence the charge is $36 per day plus $0.22 per mile
Answer:
21
Step-by-step explanation:
6 hours is 3 times 2 hours so 7*3=21
The generic equation of the line is:
y-yo = m (x-xo)
The slope is:
m = (y2-y1) / (x2-x1)
m = (- 2-0) / (3-0)
m = -2 / 3
We choose an ordered pair
(xo, yo) = (0, 0)
Substituting values:
y-0 = (- 2/3) (x-0)
Rewriting:
y = (- 2/3) x
Answer:
The equation of the line is:
y = (- 2/3) x