Answer:
Step-by-step explanation:
The graph that would give the result of an integration and hence f would be the top one. f = x^4/4 - x^3 + a constant (perhaps zero) would look like the top graph. Just to show you that is true, I've enclosed a graph. The graph is of f which is given 2 lines up.
Answer:
A: 336 km
B: 14 L
Step-by-step explanation:
Use a proportion
210 km / 5 L = x / 8L Cross multiply
8*210 = 5 x
1680 = 5x
x = 1680 / 5
x = 336 km
===============
210 /5 = 588/x Cross multiply
210x = 588 * 5
210x = 2940 Divide by 210
x = 2940/210
x = 14 L
<span> first, write the equation of the parabola in the required form: </span>
<span>(y - k) = a·(x - h)² </span>
<span>Here, (h, k) is given as (-1, -16). </span>
<span>So you have: </span>
<span>(y + 16) = a · (x + 1)² </span>
<span>Unfortunately, a is not given. However, you do know one additional point on the parabola: (0, -15): </span>
<span>-15 + 16 = a· (0 + 1)² </span>
<span>.·. a = 1 </span>
<span>.·. the equation of the parabola in vertex form is </span>
<span>y + 16 = (x + 1)² </span>
<span>The x-intercepts are the values of x that make y = 0. So, let y = 0: </span>
<span>0 + 16 = (x + 1)² </span>
<span>16 = (x + 1)² </span>
<span>We are trying to solve for x, so take the square root of both sides - but be CAREFUL! </span>
<span>± 4 = x + 1 ...... remember both the positive and negative roots of 16...... </span>
<span>Solving for x: </span>
<span>x = -1 + 4, x = -1 - 4 </span>
<span>x = 3, x = -5. </span>
<span>Or, if you prefer, (3, 0), (-5, 0). </span>
