Attachment picture is the solution. Please mark me brain if you think it help. Thank you!
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>
Answer:
65.93
Step-by-step explanation:
Okay, first lets convert the money.
100 ÷ 1.43 = 69.9300699301 (69.93)
69.93 - 4 = 65.93
Ashley has 65.93 pounds.
Hope this helps! Brainliest would be appreciated. :)
Answer:
Bottle unit: 8.14
Dollar unit: $0.12
Step-by-step explanation:
Dividing the equation, bottle on top for bottle and dollars on top for dollar.
Answer:
(x+4)(x+8)
Step-by-step explanation:
Factor x²+12x+32 using the AC method.
