The correct question is
<span>
Penelope determined the solutions of the quadratic function by completing the square.f(x) = 4x² + 8x + 1
–1 = 4x² + 8x
–1 = 4(x² + 2x)
–1 + 1 = 4(x² + 2x + 1)
0 = 4(x + 2)²
0 = (x + 2)²
0 = x + 2
–2 = x
What error did Penelope make in her work?
we have that
</span>f(x) = 4x² + 8x + 1
to find the solutions of the quadratic function
let
f(x)=0
4x² + 8x + 1=0
Group terms that contain the same variable, and move the
constant to the opposite side of the equation
(4x² + 8x)=-1
Factor the
leading coefficient
4*(x² + 2x)=-1
Complete the square Remember to balance the equation
by adding the same constants to each side.
4*(x² + 2x+1)=-1+4 --------> ( added 4 to both sides)
Rewrite as perfect squares
4*(x+1)²=3
(x+1)²=3/4--------> (+/-)[x+1]=√3/2
(+)[x+1]=√3/2---> x1=(√3/2)-1----> x1=(√3-2)/2
(-)[x+1]=√3/2----> x2=(-2-√3)/2
therefore
the answer is
<span>
Penelope should have added 4 to both sides instead of adding 1.</span>
18bags
Look if 1=3 2=9 3= 18 so he uses 18 bags!
It’s simple. The volume of a sphere is V=4/3πr^3.. so you will convert the mm to m okay?? 10mm=1cm .. so do your conversion from here then when you get the radius then you will substitute it into the volume where r is the radius.. so for the first one l changed mm to cm so.. radius is 4cm then l substitute it into the formula so l got 270 after rounding it to the nearest tenth.. pi=22/7 bear in mind. So do the same for the other one
Answer:
y=8-x or y=9-x or y=243-x (The spot where the 8 is can be any number as long as the number infront of the 0 is still -1)
Step-by-step explanation:
Step-by-step explanation:
By using Implicit Differentiation,
d/dx (y² + xy - x²) = d/dx (11x)
d/dx (y²) + d/dx (xy) - d/dx (x²) = 11
2y * dy/dx + x * dy/dx + y - 2x = 11
dy/dx (2y + x) = 11 + 2x - y
dy/dx = (11 + 2x - y) / (2y + x).
At the point (2, 3), we have x = 2, y = 3.
=> dy/dx = (11 + 2(2) - (3)) / (2(3) + (2))
= 12 / 8 = 1.5.
P.S. Your question is weird because (2,3) is not on the graph, let me know what is the correct question thanks!
