Answer: Irrational
Step-by-step explanation:
1. Split the second term in 6x^2 - 11x - 35 into two terms
6x^2 + 10x - 21x - 35
2. Factor out common terms in the first two terms, then in the last two terms
2x(3x + 5) - 7(3x + 5)
3. Factor out the common term 3x + 5
(2x - 7)
Answer:
33.3%
Step-by-step explanation:
Let's say the percent change is x%. Then the equation is:
30 + x% * 30 = 40
Subtract 30 from both sides:
x% * 30 = 10
Divide by 30:
x% = 10/30 = 1/3
Remember that % simply means "out of 100", so:
x/100 = 1/3
Multiply both sides by 100:
x = (1/3) * 100 = 33.3%
Answer:
2. 1 / a^2
3, 1
4. - 1
Step-by-step explanation:
Formulas : -
x^y / x^z = x^( y - z )
x^-y = 1 / x^y
x^y / x^y = 1
2.
a^2 / a^4
= a^( 2 - 4 )
= a^-2
= 1 / a^2
3.
m^6 / m^6 = 1
4.
- 8^4 / 8^4
= - 1 x 8^4 / 7^4
= - 1
ANSWER
to the nearest thousandth.
EXPLANATION
The given irrational number is
We use the calculator to evaluate this to obtain,
To round to the nearest thousandth means we are rounding to 3 decimal places.
The third decimal place is 5.
The next number is 5 so we round up.
