Answer:
<h3>p = 131.25</h3>
Step-by-step explanation:
The variation p varies directly with T is written as
p = kT
where k is the constant of proportionality
To find p when T =500 we must first find the formula for the variation
That's
when p = 105 and T = 400
105 = 400k
Divide both sides by 400
<h3>

</h3>
So the formula for the variation is
<h2>

</h2>
when
T = 500
Substitute it into the above formula
That's

Simplify
The final answer is
<h3>p = 131.25</h3>
Hope this helps you
Step-by-step explanation:
You want the to find the value of k such that the y coordinate of the vertex is 0.
0=x2−6x+k
The x coordinate, h, of the vertex is found, using the following equation:
h=−b2a
h=−−62(1)=3
Evaluate at x = 3:
0=32−6(3)+k
k=9
Answer:
(b) She should have rounded –8.02 to –8
Step-by-step explanation:
Given
See attachment for long division
Required
Her error
Ignoring the minus sign,
Her approximation is as follows:


Her approximation of -8.02 is wrong
Because:

<em>Hence (b) is correct</em>