<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>
Hello there!
2(x - 3) = 2x + 5
Let's start by using the distributive property for the left side.
(2)(x) + (2)(-3) = 2x + 5
2x - 6 = 2x + 5
Then we need to add 6 to both sides
2x - 6 + 6 = 2x + 5 + 6
2x = 2x + 11
We need to transfer 2x on the left side, we gonna do that by subtracting 2x from both sides
2x - 2x = 2x + 11 - 2x
0 = 11
Thus,
There are no solutions.
I hope this helps!
Good luck with your career!
A.9×6x - ( 9×2)=
64x-18 = 0
64x=18
x=18/64 =1/3 =0.3
B. 64x+18=0
64x= -18
x =-18/64
x= -1/3
x = -0.3
28% of 1500 is 420.
so add it to 1500 and you’ll get 1920
