Answer:
0.333
units³
Step-by-step explanation:
Think process:
The equation is given as y = 
Let, y = f (x)
Therefore, 
We know that the limits are y-axis and x= 3
Y-axis: x= 0
then limits are given as x= 0 and x = 3
Integrating gives:
= 
+ C
calculating from x= 0 to x = 3, we know volume is given by 
= [ 
]
= [0.000041136 + 1/3]
= 0.333 units³
-5y <= -15
divide by -5 (flips the inequality)
y >= 3
closed circle at 3 line to the right
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:
b x 5 = 30
Step-by-step explanation:
This is one of the many correct answers. The reason why is because it shows that the variable is correct. And if you didn’t know what the variable was you could just divide 30 / 5.
