Answer:
First choice is the correct one
Explanation:
The given is:
[(x+5) / (x+2)] - [(x+1) / x(x+2)]
First, we will need to have a common denominator and then we will solve the subtraction normally. To get a common denominator, we will have to multiply both numerator and denominator of first term by x.
Therefore:
[(x+5) / (x+2)] - [(x+1) / x(x+2)] = [x(x+5) / x(x+2)] - [(x+1) / x(x+2)]
= [x(x+5)-(x+1)] / [x(x+2)]
= (x^2 + 5x - x - 1) / [x(x+2)]
= [(x^2 + 4x - 1)] / [x(x+2)]
Hope this helps :)
Answer:
6^ -24
Step-by-step explanation:
We know that a^b^c = a^ (b*c)
(6^-4)^6 = 6^ (-4*6) = 6^ -24
Answer: Option A, the square root of 40, is an irrational number.
Step-by-step explanation:
We are given 4 options:
- the sqrt of 40
- the sqrt of 49
- the sqrt of 100
- the sqrt of 9
All but one are perfect squares. Let's find out which one is not a perfect square.
The sqrt of 49 is 7. 7 times 7 is equal to 49.
The sqrt of 100 is 10. 10 times itself is equal to 100.
The sqrt of 9 is 3. 3 times 3 is equal to 9.
What about the square root of 40?
We know it's not a perfect square, and it's somewhere between 6 and 7. So, the hint from the question tells us that imperfect squares are irrational. Then this must be the answer!
Answer:
The original price of an item less a discount of 20% is 0.8p where p is the original price
Step-by-step explanation:
Here, we want to write an algebraic expression that represents the original price of an item less a discount of 20%
Let the original price of the item be p
The meaning of the ‘less’ is that we are subtracting 20% of the price from the original price ;
So 20% of the price will be 20/100 * p = 20p/100 = p/5 = 0.2p
So let’s take this away from the original price p
That will be;
p - 0.2p = p(1-0.2) = 0.8p
2200 + 0.06s > = 2900.....with s representing her total sales
0.06s > = 2900 - 2200
0.06s > = 700
s > = 700 / 0.06
s > = 11666.67 <== her sales has to be at least this
