Question 469541: I have tried and tried to answer these but my answers do not come out right and I can't even teach my daughter the right way so could you help me out by answering them for me it would help alot.
Simplify. Leave answer in radical form. **the brackets are supposed to be the square root sign, so everything in the brackets are whats under the radical.
a) 3(2[sqrt x^3])^2
b) 3[sqrt a] (4 [sqrt a] + 2[sqrt a^3])
2. Solve for x:
2(x +4)^2 = 98
3. Add and simplify: 2/2x-1 + 1/-2x
4. Write as a ratio of two integers
a) 4 1/2
b) 3.271
c) 59%
5. Graph each inequality: (we're supposed to graph it on a number line...which i dont really get)
a) 2x + 2 <_ 8 + 4x
b) -5 < x - 2 <_ 3
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! Simplify. Leave answer in radical form. **the brackets are supposed to be the square root sign, so everything in the brackets are whats under the radical.
a) 3(2[sqrt x^3])^2
....3(2√x^3)^2
....3(4x^3)=12x^3
**
b) 3[sqrt a] (4 [sqrt a] + 2[sqrt a^3])
....3√a*4√a+2√a^3
....12a+2a√a
....2a(6+√a)
**
2. Solve for x:
....2(x +4)^2=98
.... (x+4)^2=98/2
....(x+4)^2=49
take sqrt of both sides
....x+4=±√49=±7
....x=-4±7
x=-4-7=-11
or
x=-4+7=3
**
3. Add and simplify: 2/2x-1 + 1/-2x
....2/2x-1-1/2x
....LCD:2x
....(2-2x-1)/2x
....(-2x+1)/2x
....-2x/2x+1/2x
....-1+1/2x
**
4. Write as a ratio of two integers
a) 4 1/2=9/2
b) 3.271=3271/1000
c) 59% =59/100
5. Graph each inequality: (we're supposed to graph it on a number line...which i dont really get)
a) 2x + 2 <_ 8 + 4x
....2x+2≤ 8+4x
....-2x≤6
....2x≥-6 (switch signs)
....x≥-3 or [-3, ∞) (This says x(domain) is from-3, including -3, to infinity)
number line:
............[-3......>(sorry, couldn't make a better number line, but it should look something like this)
b) -5< x - 2 <_ 3
....-5< x-2≤ 3
....-5+2
....-3
number line:
............(-3......5]
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