From y α x, y being proportional to x
y =k x where k is constant of proportionality
Comparing to y = 0.2x
Constant of proportionality = 0.2
Answer: j = 8
Step-by-step explanation: To solve for <em>j</em> in this equation, we want to get <em>j</em> by itself on the left side of the equation. Since <em>j</em> is being multiplied by 5, to get <em>j</em> by itself, we need to divide by 5 on the left side of the equation. Since we divided by 5 on the left side, we must also divide by 5 on the right side.
On the left side, notice that the 5's cancel out so we are simply left with <em>j</em>. On the right side, we have 40 divided by 5 which gives us 8 so we have j = 8.
Finally, remember to check your answer by substituting an 8 back into the original equation. So we have 5 (8) = 40 which is a true statement so our answer checks. Remember to show all your work when solving equations.
Answer:
37.8metres
Step-by-step explanation:
The arc of the arrow can be modeled by the equation:
y=-0.02x²+0.65x+4
Where x is the horizontal distance (in meters) from Linda and y is the height (in meters) of the arrow.
The arrow hits the ground when its height (y) is zero.
Therefore, we determine the value(s) of x for which:
y=-0.02x²+0.65x+4=0
Using a calculator to solve the quadratic equation:
x=37.79 or -5.29
Since the distance cannot be a negative value, we ignore -5.29.
The distance from Linda when the arrow hits the ground is 37.8metres (to the nearest tenth)
Answer: 1y=-2-3x
4x+3(-2-3x) =24----4x-6-6x=24---4x-6x=24+6---;-2x=30----x=30/-2---x=-15
