<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>
Answer:
39,960 is divisible by all of the listed numbers.
Step-by-step explanation:
The sum of digits is 3+9+9+6+0 = 27, and the sum of those digits is 2+7=9.
This tells you the number is divisible by 3 and 9.
The number is even and ends in 0. Together with divisibility by 3, this tells you the number is divisible by 6. The 0-ending tells you the number is divisible by 2 and 5 and 10.
The last two digits are 60, a number that is divisible by 4, so the number is divisible by 4.
39,960 is divisible by all of the numbers listed: 2, 3, 4, 5, 6, 9, 10.
Answer:
A B E F
Step-by-step explanation:
-2 * -5 = 10
10 * 3 = 30
30 * -7 = -210
