To make a positive profit p(x)>0 we need to make:
Now we solve this for x:
We have:
a = -2
b = 7
c = -3
We will use formula for quadratic equation:
We got two solutions. One is fraction other is whole number. We will not consider fraction because the amount of muffins sold must be whole number. So our solution is:
x>3
Answer:
Height = 19mm.
Step-by-step explanation:
Area of a regular polygon = (A * P) / 2 where A = side / (2 * Tan (π / N)) where, N = Number of sides, A = Apothem, P = Perimeter.
Here A = 5, P = 5*12 = 60 so
Area of the base = (5 * 60) / 2 = 150 mm^2.
Volume = area base * height so
Height = volume / area of base
= 2850 / 150
= 19 mm.
Answer:
? = 14
Step-by-step explanation:
let us say that ? = x
7^x * 7^5^4 = 7^34
When you have a power to a power you multiply
7^x * 7^20 = 7^34
when you multiply common bases you add the power. since all the bases aer the same just look at the power
7^34-20 = 7^x
7^14 = 7^x
Answer:
D
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Subtract the sum of the 2 given angles from 180
x = 180° - (90 + 35)° = 180° - 125° = 55°
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Since the triangle is right use the cosine ratio to solve for b
cos35° = 
= 
Multiply both sides by 20
20 × cos35° = b, hence
b = 16.38 ( to 2 dec. places )
