Answer:
(x - 3)(x² + 4)
Step-by-step explanation:
x³ - 3x² + 4x - 12 ( factor first/second and third/fourth terms )
= x²(x - 3) + 4(x - 3) ← factor out (x - 3 from each term
= (x - 3)(x² + 4)
Answer:
179 minutes
Step-by-step explanation:
- Divide both sides by 75.5 to see how many minutes it would take to drive 1 mile. (54 / 75.5) =108/151
- She can drive 1 mile in 108/151 minutes
- Times by 250. (108/151 * 250) 178.8
- 179 to nearest minute
Answer: g(x) = 3/2 x + 9
Step-by-step explanation:
h(x) = -2/3 x - 1
perpendicular lines always have the opposite sign, reciprocal slope
so, the slope of the perpendicular line would be: m = 3/2
y = mx + b
y = 3/2 x + b
plug in (-4, 3) to find b
3 = 3/2 (-4) + b
3 = -6 + b
b = 9
y = 3/2 x + 9
g(x) = 3/2 x + 9
They bought 8 orchestra seats and 6 mezzanine seats.
Step-by-step explanation:
Cost of one orchestra seat = $42
Cost of one mezzanine seat = $25
No. of people = 14
Amount spent = $486
Let,
x be the number of orchestra seats
y be the number of mezzanine seats
According to given statement;
x+y=14 Eqn 1
42x+25y=486 Eqn 2
Multiplying Eqn 1 by 25;
Subtracting Eqn 3 from Eqn 2 to eliminate y;
Dividing both sides by 17
Putting x=8 in Eqn 1
They bought 8 orchestra seats and 6 mezzanine seats.
Keywords: linear equation, elimination method
Learn more about elimination method at:
#LearnwithBrainly
Lets first convert everything to inches.
6 feet= 12*6 = 72 + 10 = 82 inches
8 feet= 12*8 = 96+9 = 105 inches
Now add!
82+105 = 187
Now convert them back to feet.
187/12 = 15 feet
12*15 = 180
187 - 180 = 7 inches
15 feet. 7 inches.
Final answer: B. 15 ft. 7 in.
