Answer:
B. 28 minutes
Step-by-step explanation:
According to the given statement,
William weeds the whole garden in 45 minutes, then in one minute he will weed 1/45 of the garden
and
similarly, 1/75 of the garden in one minute.
When they both will work together, they will weed (1/45+1/75) of the garden in one minute
Solving the equation:
= 
Garden weeded in one minute by both = 0.036
So, number of minutes to weed whole garden = 1/0.036
= 27.77 minutes
Rounding off will give us: 28 minutes
So,
Option B is the correct answer ..
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:
17.4076456756
Step-by-step explanation:
8800 yards is equal to five miles
Answer:
7234.56 inches cubed
Step-by-step explanation:
V=4/3 times pi times r cubed
4/3 times 3.14 times 1728