Vertex form of a parabola
<span>y = a (x - h)^2 + k </span>
<span>where (h, k) is the vertex </span>
Substituting the values of h and k.
we get,
<span>y = a(x + 4)^2 + 2 </span>
<span>substituting in the point (0, -30) for x and y
</span><span>-30 = a (0 + 4)^2 + 2
</span>solve for a,
<span>-30 = 16 a + 2 </span>
<span>-32 = 16 a </span>
<span>-2 = a </span>
<span>y = -2(x + 4)^2 + 2 </span>
<span>Put y = 0 </span>
<span>-2 x^2 - 16 x - 30 = 0 </span>
<span>-2(x^2 + 8 x + 15) = 0 </span>
<span>x^2 + 8 x + 15 = 0 </span>
<span>(x + 3)(x + 5) = 0 </span>
<span>x = -3
x = -5</span>
Answer:
c
Step by step explanation: Linear equations don't have exponents, so that makes option c nonlinear
Answer:
y= 3x +11
Step-by-step explanation:
<u>slope-intercept form:</u>
y= mx+c, where m is the gradient and c is the y-intercept.
Given that the slope is 3, m=3
substitute m=3 into the equation:
y= 3x +c
To find the value of c, substitute a coordinate.
When x= -3, y=2,
2= 3(-3) +c
c -9= 2
c= 9 +2 <em>(</em><em>+</em><em>9</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>
c= 11 <em>(</em><em>s</em><em>implify</em><em>)</em>
Thus, the equation of the line is y= 3x +11.
Fred's overtime rate and pay is $17.925 and $98.5875 respectively
<h3>Total payment</h3>
- Amount paid per hour = $11.95
- Amount paid overtime per hour = $11.95 × 1.5
= $17.925
- Total hours worked last week = 45 1/2 hours
- Overwork time = 45 1/2 hours - 40 hours
= 5 1/2 hours
Fred's overtime pay = 5 1/2 hours × $17.925
= 11/2 × 17.925
= $98.5875
Normal work rate = 40 hours × $11.95
= $478
Fred's total pay = Fred's overtime pay + Normal work rate
= $98.5875 + $478
= $576.5875
Therefore, Fred's total pay is $576.5875
Learn more about total pay:
brainly.com/question/2021001
#SPJ1
Answer:
14 feet = 4.667 yards = 14 feet.
Step-by-step explanation:
This is a "trick question" because 14 feet end up going back to 14 feet again. But as I showed you up top, 14 feet go into 4.667 yards. Let me know if you need any more help with clarification!
