90-n=3n
90=4n
22.5=n
Final answer 22.5
Answer:
Part A:
( 1.8333, -0.08333)
Part B:
x = 2 or x = 5/3
Step-by-step explanation:
The quadratic equation
has been given.
Part A:
We are required to determine the vertex. The vertex is simply the turning point of the quadratic function. We shall differentiate the given quadratic function and set the result to 0 in order to obtain the co-ordinates of its vertex.

Setting the derivative to 0;
6x - 11 = 0
6x = 11
x = 11/6
The corresponding y value is determined by substituting x = 11/6 into the original equation;
y = 3(11/6)^2 - 11(11/6) + 10
y = -0.08333
The vertex is thus located at the point;
( 1.8333, -0.08333)
Find the attached
Part B:
We can use the quadratic formula to solve for x as follows;
The quadratic formula is given as,

From the quadratic equation given;
a = 3, b = -11, c = 10
We substitute these values into the above formula and simplify to determine the value of x;

Answer:
- 22°F
Step-by-step explanation:
Given that :
Morning temperature = 15°F
Change in temperature = fall by 37 degree
The temperature of the end of the day:
Morning temperature + (change in temperature)
Fall by 37° = decrease in temperature by 37° = - 37°
15°F + (-37°F)
15°F - 37°F
= - 22°F
Answer:
Think of the total as 1/5 + 1/5 + 1/5 = 3/5
You have THREE fifths of material.
You use ONE of those fifths.
That leaves you with TWO fifths.
Step-by-step explanation: