Answer:
The third option
Step-by-step explanation:
If you plug -4 in for x in the first option, you would get 12 + which is 14 and
14 ≠ 5.
If you plug in -4 for the second option you would have -0.75 times -4 which is 3 and 3 plus 8/3 would not give you a whole number so it is not equal to 5.
If you plug in -4 to the third option you would get -4 times -0.75 which is 3 and 3 + 2 = 5. But to check the rest of the numbers you would plug in 0 for x and get -0.75 times 0 is 0 and 0 + 2 = 2.
For the last option, just to eliminate all other options, if you plug in -4 for x you would have 2 times -4 which is -8 and -8 - 0.75 would not be a whole number so it could not be 5.
Answer:
Step-by-step explanation:
x=55. Explanation: If x varies inversely as y , then that means: y=kx. Let's multiply both sides of the equation by x to find k . k=xy.
Answer:
Red line
Step-by-step explanation:
2y+x=0
2y=-x
y=-x/2
Put the equation into y=mx+b so you would need to subtract the x to put it on the right side so then you’ll have 2y=-x+0 then divide by 2 to get the y by itself then you’ll have y=-2x+0 that means the line would be negative and the y-intercept is 0 and the only line that follows that is the red line.
2 pieces at 2 3/4 feet is 2 x 2 foot 9 inches = 5 foot 6 inches
1 piece that is 3.5 feet is 3 feet 6 inches
2 pieces that are 1 5/8 feet are 2 x 1 foot 7 1/2 inches = 3 feet 3 inches
I think there should be more to the question. If you are looking for the best combination to buy it would be two 7 foot boards
Answer:
a) m =589.734kg
b) n = 8 people (rounded down)
Step-by-step explanation:
The first step is to calculate the maximum load after safety considerations (
Since we know that the maximum tension the cables can withstand is 19500N (or 19.5kN). To calculate (
we multiply this value by
(as per the given safety consideration.
Hence

a) Now to find the maximum load in kgs, we use the following formula

Where
= mass of elevator
= maximum load
= acceleration due to gravity
= maximum acceleration of elevator
Inputting the values and solving

Hence the maximum load is m =589.734kg
b) To find the number of people (n) we divide the value of m by 70kg
n = 589.734 / 70
n = 8.42 or 8 people