we know that
The LCD is the LCM (least common multiple) of all the denominators.
we have



So
The LCM of
is
,
which is the multiple of the highest power of prime factors from all of the given numbers
therefore
the answer is

Answer:
18 sharpened pencils
Step-by-step explanation:
Total = 30 pencils
100% = 30 pencils
1% = 30 ÷ 100 = 0.30
60% = 0.30 x 60 = 18
Answer: 40
ADE = 70 por suma de angulos interiores en triangulo ADE
En triangulos BDE y AED
AE=BE por dato
DE lado comun
AED= BED= 90
por tanto los triangulos son iguales por tener dos lados y el angulo comprendido respectivamente iguales
Luego ADE = BDE = 70 y AD=BD=BC por ser triangulos BDE y AED iguales
Luego triangulo BDC isosceles de base DC
ADE + BDE + BDC = 180 por suma de angulos consecutivos
BDC = 180 - 70 -70 = 40
Ф = BDC =BCD = 40 por ser angulos bases de un triangulo isosceles
Answer:

Step-by-step explanation:
y=x^2-x+1
We want to solve for x.
I'm going to use completing the square.
Subtract 1 on both sides:
y-1=x^2-x
Add (-1/2)^2 on both sides:
y-1+(-1/2)^2=x^2-x+(-1/2)^2
This allows me to write the right hand side as a square.
y-1+1/4=(x-1/2)^2
y-3/4=(x-1/2)^2
Now remember we are solving for x so now we square root both sides:

The problem said the domain was 1/2 to infinity and the range was 3/4 to infinity.
This is only the right side of the parabola because of the domain restriction. We want x-1/2 to be positive.
That is we want:

Add 1/2 on both sides:

The last step is to switch x and y:



The following statements <span>demonstrates why the following is a non-example of a polynomial.</span>
1. The expression has a variable raised to a negative exponent.
2. The expression has a variable in the denominator of a fraction.
3. The expression has a variable raised to a fraction.