B^2+5b-24
Using the AC method for factoring
(b+8)(b-3)
<h3>
There are 2 answers: choice C, choice D</h3>
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Explanation:
32% = 32/100 = 0.32
32% of 400 = 0.32*400 = 400(0.32), which adds onto the original 400 to get 400+400(0.32). This is why choice D is one of the answers.
We can factor out the GCF 400 to go from 400+400(0.32) to 400(1+0.32) which then simplifies to 400(1.32) or just 400*1.32. This shows choice C is the other answer. Using a calculator,
400+400(0.32) = 400 + 128 = 528
400*1.32 = 528
meaning that 400+400(0.32) = 400*1.32
The other answer choices result in other values, showing that they aren't equivalent to 528.
6 units to the left of 0 on a number line
I.) (5x+3)/4-(2x-4)/3=5
Clear fractions:
3·((5x+3)/4)=15x+9
4·((2x-4)/3)=8x-16
15x+9-(8x-16)=5
15x+9-8x+16=5
Combine like terms:
7x+25=5
7x=-20
x=-20/7
II.) (3/11)·(5/6)-(9/12)·(4/3)+(5/13)·(6/15)
Remember PEMDAS
So first multiply:
3/11·5/6=15/66
9/12·4/3=3/3·1/1=3/3=1
5/13·6/15=1/13·6/3=6/39=2/13
(15/66)-1+(2/13)
Combine:
15/66-1/1=15/66-66/66=-51/66
-51/66+2/3=-51/66+44/66=-7/66
Answer: -7/66 :)
<u>Solution</u><u>:</u>
The rationalisation factor for
is 
So, let us apply it here.

The rationalising factor for 5 - √2 is 5 + √2.
Therefore, multiplying and dividing by 5 + √2, we have

<u>Answer:</u>
<u>
</u>
Hope you could understand.
If you have any query, feel free to ask.