f(x) = -5x^2 - x + 20;
f(3) = -5*3^2 - 3 + 20 = -5*9 - 3 + 20 = -45 - 3 + 20 = -28;
Answer:
p = (7r+16) / (4-q)
Step-by-step explanation:
4p - 7r = pq + 16
Add 7r to both sides.
4p = pq + 16 + 7r
Subtract pq from both sides.
4p - pq = 7r + 16
Factor out p from the left side.
p(4 - q) = 7r + 16
Divide both sides by (4 - q).
p = (7r + 16)/(4 - q)
The 7r and the 16 could be in either order, like 7r+16 or 16+7r. You could show that the answer is a fraction with 7r+16 on top and 4-q on the bottom. If you are writing or on the computer selecting a fraction that is stacked you don't need need the parenthesis.
The correct rectangular equivalence of 3sqrt(2)·cis(7pi/4 ) is:
3sqrt(2)·cos( 7pi/4 ) + i·sqrt(2)·sin( 7pi/4 ) = 3 - 3i.
<h3>Where did David go wrong?</h3>
David mistakenly interchanged the Sin function and the Cos function when he was calculating the problem.
Hence the correct rectangular equivalence is:
3sqrt(2)·cos( 7pi/4 ) + i·sqrt(2)·sin( 7pi/4 ) = 3 - 3i.
<h3>What is rectangular equivalence?</h3>
An equation is rectangular in form when it is comprised of Variables like X and Y and can be represented on a Cartesian Plane.
Learn more about rectangular equivalence at:
brainly.com/question/27813225
#SPJ1
Answer:
5) The midrange is 19.5ºF
6) The midrange is 67.5º
Explanation:
The problem tell us how to calculate the midrange.
In (5) the minimum and maximum values are given (-6ºF and 45ºF, respectively). Using the formula:
In (6), we need to find the minimum and maximum values from a list of them. We can see that the minimum is 58º and the maximum 77º
Then:
