Answer:
25
Step-by-step explanation:
Answer:
2x-6
Step-by-step explanation:
Answer:
k = -18
Step-by-step explanation:
If x-3 is a factor, what this means is that if we substitute;
x = 3 into the equation, we should get 0
This is from the factor theorem
Thus ;
P(3) = 0 = 2(3)^3 -5(3)^2 + 3(3) + k
0 = 54 - 45 + 9 + k
k + 18 = 0
k = -18
7 lb will cover an area of 1 square foot, while 315 lb will cover an area of 45 square feet.
From given question,
252 lb = 36 ft² ..........(1)
The number of pound for an area of 1 square foot is calculated as follows:
x = 1 ft² .......(2)
The area and the amount of gravel are illustrations of proportions.
From (1) and (2) we get an equation,
⇒ x × 36 = 252 × 1
⇒ x = 252/36
⇒ x = 7 lb
We need to find the area that could be covered with 315 lb of gravel
The area to be covered with 315 lb gravel is calculated as follows:
315 lb = y ............(3)
From (1) and (3) we get an equation,
⇒ y × 252 = 36 × 315
⇒ y = 45 ft²
Therefore, 7 lb will cover an area of 1 square foot, while 315 lb will cover an area of 45 square feet.
Learn more about the proportions here:
brainly.com/question/13114933
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We observe that 14 is 4 more than twice 5.
The scooter's rate is 14 mph.
The bicycle's rate is 5 mph.
_____
time = distance/rate
14/(2b +4) = 5/b . . . . . . let b represent the bicycle's speed in mi/h
14b = 10b +20 . . . . . . . .cross multiply
4b = 20 . . . . . . . . . . . . . subtract 10b
b = 5 . . . . . . . . . . . . . . . divide by 4. Same answer as above.
