We know that
the equation of the parabola is of the form
y=ax²+bx+c
in this problem
y=−1/4x²<span>−x+3
where
a=-1/4
b=-1
c=3
</span><span> the coordinates of the focus are
</span>
(-b/2a,(1-D)/4a)
where
D is the discriminant b²-4ac
D=(-1)²-4*(-1/4)*3-----> D=1+3---> D=4
therefore
x coordinate of the focus
-b/2a----> 1/[2*(-1/4)]----> -2
y coordinate of the focus
(1-D)/4a------> (1-4)/(-4/4)---> 3
the coordinates of the focus are
(-2,3)
Answer:
Photo.
Step-by-step explanation:
A: The graph of the system is all points in the graph that suit 4x-2<y</=-5/2x-2
B: The point (-2,-2) is not included in the solution area. While it suits the second equation, it doesn't suit the first, ruling it out as a possible solution. If you plug in -2 as both y and x in the equation 4x-2>y, you'll get -8>-2, which is false. So, it is not a solution.
Answer: $2025
Step-by-step explanation:
$1.50. x 45= 67.5 items per day. 30 days is 30 x 67.5= $2025
Answer:
300 words.
Step-by-step explanation:
It says that she can type at 60 words per minute, if she kept that wpm constant for 5 minutes straight, then she would be at least 300 in 5 minutes.
The correct answer is D.D. 8a^4b^3 + 6a^3b^5 - 2a^3b^4
You can tell this by the lead term alone. When you mutliply the term outside to the lead term, D is the only one that has that term.
2a^2b^3*4a^2 = 8a^4b^3
D. 8a^4b^3 + 6a^3b^5 - 2a^3b^4
