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Marta_Voda [28]
3 years ago
6

Find the axis of symmetry y= -2x^2 -8x -15

Mathematics
1 answer:
katen-ka-za [31]3 years ago
4 0
The squared variable is the "x", therefore is a vertical parabola so its axis of symmetry will come from the vertex's x-coordinate.

now, let's find the vertex of it.

\bf \textit{vertex of a vertical parabola, using coefficients}
\\\\
y=\stackrel{\stackrel{a}{\downarrow }}{-2}x^2\stackrel{\stackrel{b}{\downarrow }}{-8}x\stackrel{\stackrel{c}{\downarrow }}{-15}
\qquad \qquad 
\left(-\cfrac{ b}{2 a}~~~~ ,~~~~  c-\cfrac{ b^2}{4 a}\right)
\\\\\\
\left( -\cfrac{-8}{2(-2)}~~,~~\qquad \quad \right)\implies \left( -2~~,~~\qquad  \right)
\\\\\\
\stackrel{\textit{axis of symmetry}}{x=-2}
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What is the answer to -5x+5y=-10 and 3x-3y=5 using substitution
IceJOKER [234]

Answer:

for the 1st one the answer is x= 3 y=1 and the second one is x= 5 and y = 3 and 1/3

Step-by-step explanation: so basically for the first one -5 times x which is 3 is -15 right? and then 5 times y which is 1 is 5 right so -15 plus 5 = -10

second one is x = 5 and y = 3 and 1/3 because 5*x which is 5 is = to 15 right? and then 3 times y which is equal to 3 and 1/3 is equal to 10 which when you do 15-10 in pretty sure it equals 5 correct me if im wrong

Hope this helps xD ;)

7 0
3 years ago
The distance to the nearest exit doir is no more than 150 feet. Use d to represent the distance in feet to the nearest exit door
il63 [147K]

Answer: d\leq150

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1. You have the following information given in the problem:

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-  d represents the distance to the nearest exit door, in feet.

2. Therefore, keeping the information above on mind, you know that the  distance to the nearest exit door (d) must be less than or equal to 150 feet, then, you can express this as following:

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