Answer is (A). (X’ , Y’) = (x, y-6)
Area of the bigger rectangle =(18×8)cm
2
=144cm
2
Area of the smaller rectangle =((30−18)×(8−6))=(12×6)cm
2
=72cm
2
∴ Total area = area of smaller rectangle + area of bigger rectangle =(72+144)cm
2
=216cm
2
There should be 1,400 pages in an order that costs the same for both companies.
Let x be the unknown number of pages.
1st Company = 42 + 0.05x
2nd Company = 0.08x
0.08x = 42 + 0.05x
0.08x - 0.05x = 42
0.03x = 42
0.03x / 0.03 = 42 / 0.03
x = 1400 pages
To check
0.08x = 42 + 0.05x
0.08 (1400) = 42 + (0.05 * 1400)
112 = 42 + 70
112 = 112
Answer:
x = -2, 1/2
Step-by-step explanation:
Step 1: Isolate everything to 1 side
2x² + 3x - 2 = 0
Step 2: Factor
(2x - 1)(x + 2) = 0
Step 3: Find roots
2x - 1 = 0
2x = 1
x = 1/2
x + 2 = 0
x = -2
(6x12=) 72 months,
(6x365=) 2,190 days
