First, we need to transform the equation into its standard form (x - h)²=4p(y - k).
Using completing the square method:
y = -14x² - 2x - 2
y = -14(x² + 2x/14) - 2
y = -14(x² + 2x/14 + (2/28)²) -2 + (2/28)²
y = -14(x + 1/14)² - 391/196
-1/14(y + 391/196) = (x + 1/14)²
This is a vertical parabola and its focus <span>(h, k + p) is (-1/14, -391/196 + 1/56) = (-1/14, -775/392).
Or (-0.071,-1.977).</span>
Answer:
none of these have a solution of 2.
Step-by-step explanation:
4x+ 15 = 27
x=3
x + 6 =3
x = 3
2(x+5)=18
x = 4
x + 9 = 6
x = -3
if my understanding of what the equations are supposed to be please let me know what they are supposed to be, because with the way they are typed it is hard to tell :)
Answer/Step-by-step explanation:
Part A:
![Key:\left[1 Adult = 4 Student]](https://tex.z-dn.net/?f=Key%3A%5Cleft%5B1%20Adult%20%3D%204%20Student%5D)
<u> 12 Student = 3 Adult</u>
<u>24 Student = 6 Adult</u>
<u>40 Student = 10 Adult</u>
Part B:
33 Student
Hence, divide 33 by 4 = 8 with a remainder of 1.
Therefore, 8 Adult and for the remainder 1 student either one Adult takes 5 Student or Needed 9 Adult.
<h3>Answer: Draw a straight line through (0,-7) and (1,-5)</h3>
Explanation:
You could use any two points you want. For me, the easiest is when x = 0. Plug this into the equation to get
y = 2x-7
y = 2(0)-7
y = -7
So we have x = 0 and y = -7 pair up to get (0,-7) as our first point. This is the y intercept.
Repeat for x = 1
y = 2x-7
y = 2(1)-7
y = -5
So (1,-5) is another point on this line. You only need two points at minimum to graph a straight line.
Answer:
4.67 hours
Step-by-step explanation:
The computation is shown below:
Given that
There is 14 hours remaining for devoting in a project
Also it must be completed in 3 days
So the number of hours she need to devote each day is
= 14 hours ÷ 3 days
= 4.67 hours
