It is certainly possible for a function decreasing over a certain interval to be negative, but no rule that says it must be. On the other hand, where the function is decreasing, the rate of change of the function must be negative.
Factor the following:
15 x y - 45 x - 6 y + 18
Factor 3 out of 15 x y - 45 x - 6 y + 18:
3 (5 x y - 15 x - 2 y + 6)
Factor terms by grouping. 5 x y - 15 x - 2 y + 6 = (5 x y - 2 y) + (6 - 15 x) = y (5 x - 2) - 3 (5 x - 2):
3 y (5 x - 2) - 3 (5 x - 2)
Factor 5 x - 2 from y (5 x - 2) - 3 (5 x - 2):
Answer: 3 (5 x - 2) (y - 3)
Let's solve your equation step-by-step.<span><span><span>4<span>(<span>1−x</span>)</span></span>+<span>2x</span></span>=<span>−<span>3<span>(<span>x+1</span>)</span></span></span></span>Step 1: Simplify both sides of the equation.<span><span><span>4<span>(<span>1−x</span>)</span></span>+<span>2x</span></span>=<span>−<span>3<span>(<span>x+1</span>)</span></span></span></span><span>Simplify: (Show steps)</span><span><span><span>−<span>2x</span></span>+4</span>=<span><span>−<span>3x</span></span>−3</span></span>Step 2: Add 3x to both sides.<span><span><span><span>−<span>2x</span></span>+4</span>+<span>3x</span></span>=<span><span><span>−<span>3x</span></span>−3</span>+<span>3x</span></span></span><span><span>x+4</span>=<span>−3</span></span>Step 3: Subtract 4 from both sides.<span><span><span>x+4</span>−4</span>=<span><span>−3</span>−4</span></span><span>x=<span>−7</span></span>Answer:<span>x=<span>−<span>7</span></span></span>
Answer:
50 feet per second
Step-by-step explanation:
500 / 10 = 50
divide feet by seconds to find feet per second ratio
