# Intermediate Algebra

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I have a take home test and I'm stuck on a couple. Anyone help please?

1. Find the vertex & axis of symmetry: -5(x+4)^2-4
2. Find the vertex & axis of symmetry: y=x^2-10x+3
3. Simplify: (2i+5)(3+4i)
4. Simplify: 3(21+2i)+(4-5i)
5. Simplify: (27x^2y^3)^-3/4
6. Simplify: 5ã300x^4-2ã243x^4
7. Simplify: 3ã3(4ã3+5ã2)
8. Simplify: (2ã3+ã6)^2
9. Simplify: ^4ã50 divided by ^4ã2
10. 7 divided by ^3ã4
11. 4 divided by ã5-2

• Intermediate Algebra -

note: The a keys are supposed to be square root. I guess the sign doesn't show up here. Also, some are to the power of.

• Intermediate Algebra -

To answer number 3 use f.o.i.l and then wherever you get isquared turn to a negative 1

(2i+5)(3+4i)
6i + 8i^2 + 15 + 20i
6i +8(-1) + 15 + 20i
6i - 8 + 15 + 20i
26i + 7

• Intermediate Algebra -

the first two questions form the basics of this topic on quadratic equations.

If you cannot determine the vertex from

y = -5(x+4)^2-4

I think you are in deep trouble.

#3 is done for you, do #4 the same way

#5 (27x^2y^3)^-3/4 = 1/(27x^2y^3)^+3/4
any more "simplification" would only make it look more complicated

#6 I cannot tell where your square root ends.
Is it (5√300)x^4-2(√243)x^4
or
5√(300x^4)-2√(243)x^4) ?

if the first, then
=5*(10√3)x^4 - 2(9√3)x^4
= (32√3)x^4

#7,8, just expand them

#9 and #10, don't know what you mean by
^4√50, there is no base.

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