<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:
25%
Step-by-step explanation:
9/12 = 3/4
1/4 (the months he wasn't working) = 25%
The different statements and reasons to prove that −3(x + 8) = −21 are as detailed below.
<h3>How to utilize properties of Algebra?</h3>
Statement 1; −3(x + 8) = −21
Reason 1; Given
Statement 2; −3(x + 8)/-3 = −21/-3
Reason 2; Division property of Equality
Statement 3; x + 8 - 8 = 7 - 8
Reason 3; Subtraction Property of Equality
Statement 4; x = -1
Reason 4; Given
Read more about properties of Algebra at; brainly.com/question/855307
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3/2 - x = -12
(multiply everything by 2 to get rid of fraction)
3-2x= -24
3+24 = 2x
3/2 + 12 = x
Divide them all then put those answers down from least to greatest and then use the original numbers booooooommmm
