Answer:
x=16
Step-by-step explanation:
y = 1/2 x -3
Let y =5
5 = 1/2 x -3
Add 3 to each side
5+3 = 1/2 x -3+3
8 = 1/2x
Multiply each side by 2
8*2 = 1/2x*2
16 =x
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>
0.2 (y+2) = 0.2y + 0.2(2)
= 0.2y + 0.4
Step-by-step explanation:
956.25 is the answer
Because 1 bottle is 212.5 grams of sugar you can just multiply that by 4.5 because there are 4 bottles and a half of a bottle
