5 feet is equal to 60 inches. 60 inches divided by 2.5 inches per hour means it would take 24 hours for the drill to reach five feet (assuming it maintains the same rate of digging)
Answer:
3x^3 - 11x^2 + 93x - 105
Step-by-step explanation:
(x+5) (x-9) (x+1) (3) FOIL (First, Outside, Inside, Last)...
x^2 - 9x + 5x - 35 (3x+3) Multiply
3x^3 + 3x^2 - 27x^2 - 27x + 15x^2 + 15x - 105x - 105 Combine Like Terms...
3x^3 - 11x^2 + 93x - 105
Answer:
B: {(3,1), (7,9)}
Step-by-step explanation:
For equation 2x-y=5, we can isolate y, so it's easier to solve later:
y = 2x - 5
y = (x - 4)^2
Now, notice that both equations are equal to y, so we can set them equal to each other:
(x-4)^2 = 2x-5
x^2-8x+16 = 2x - 5
x^2-10x+21=0
Now, we can factorize by finding 2 numbers that multiply to 21 and add up to -10:
(x-3)(x-7)=0
x=3 or x=7
Since B is the only one with the x values of 3 and 7, the answer must be B.
But to further check our answer, we can plug x back to any of the equations above to check for y:
(3-4)^2 = 1
(7-4)^2 = 9
Therefore, we can confirm that the answer is B.
Absolute value only removes the negative signs. Just multiply the numerator and the denominator
Answer:
30.5 hours
Step-by-step explanation:
444-78=366
366/12=30.5
30.5 x 12= 366
