Right now that equation is a function of time, h(t), height with respect to time. If the baseball is on the ground, it has no height. In other words, its height = 0. So if we set the equation equal to 0 and solve for t, time, that will tell us the time that the ball had a height of 0. If you plug those numbers into the quadratic formula, which is the best and most efficient way to factor a quadratic, you will get that the times are -.0615528128 and 4.061552813 seconds. The 2 things in math that will never EVER be negative are time and distance/length. So we know that the ball will not hit the ground at -.062 seconds. Therefore, it hits the ground 4.06 seconds after it was hit.
Let's solve your equation step-by-step.
<span><span><span><span>x2</span>+4</span>+32</span>=<span><span>12<span>x2</span></span>+48
</span></span>Step 1: Simplify both sides of the equation.
<span><span><span>x2</span>+36</span>=<span><span>12<span>x2</span></span>+48
</span></span>Step 2: Subtract 12x^2+48 from both sides.
<span><span><span><span>x2</span>+36</span>−<span>(<span><span>12<span>x2</span></span>+48</span>)</span></span>=<span><span><span>12<span>x2</span></span>+48</span>−<span>(<span><span>12<span>x2</span></span>+48</span>)
</span></span></span><span><span><span>−<span>11<span>x2</span></span></span>−12</span>=0
</span>Step 3: Use quadratic formula with a=-11, b=0, c=-12.
<span>x=<span><span><span>−b</span>±<span>√<span><span>b2</span>−<span><span>4a</span>c</span></span></span></span><span>2a
</span></span></span><span>x=<span><span><span>−<span>(0)</span></span>±<span>√<span><span><span>(0)</span>2</span>−<span><span>4<span>(<span>−11</span>)</span></span><span>(<span>−12</span>)</span></span></span></span></span><span>2<span>(<span>−11</span>)
</span></span></span></span><span>x=<span><span>0±<span>√<span>−528</span></span></span><span>−<span>22
Hopefully this helps!
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{y|1 > y}, (-∞, 1); you did not specifically mention what notation you needed, so I wrote both [Internal Notation and Set Notation].
Ok the answer is the 3rd one since when you see in the graph Y is going up by 2
Answer: y=-3/4x
Step by step explanation:
y-y_0=m(x-x_0)
y+3=-3/4(x-4)
y=-3/4x+3-3
y=-3/4x
m=rise/run
m=-3/4
