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:
46
Step-by-step explanation:
“the product of 6 and 9 decreased by 8"
“the product of 6 and 9" = 6 * 9
"decreased by 8" = - 8 (subtract 8 from whatever, in this case 6 * 9)
“the product of 6 and 9 decreased by 8" = 6 * 9 - 8 = 46
Answer:
A = 2
D = 1
B = 4
C = 3
Step-by-step explanation:
Height of water in bathtub is a function of water in bathtub.
P(t) = w ; t = time ; w = height of water.
A: P (0)=0 ; At time, t = 0 ; height of water = 0, there is no water on bathtub
2: The bathtub starts out with no water.
D: P (20) = 0 ; At time, t = 20 ; w = 0 ;the tub is empty.
1: After 20 minutes, the bathtub is empty.
B:P (4)= 10 `; At t = 4, w = 10 ; height of water in bath tub is 10
4: The height of the water is 10 inches after 4 minutes
C:P (10) = 4 ; At t = 10, w =4, height of water in bathtub = 4 inches
3: After 10 minutes, the height of the water is 4 inches.
.
37.1
35 * .06 = 2.1
35 + 2.1 = 37.1
