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3241004551 [841]
3 years ago
5

How do I simplify? x2 – 4 divided by x2 + 5x + 6. When working with Functions

Mathematics
1 answer:
CaHeK987 [17]3 years ago
8 0

Answer:

Step-by-step explanation:

Factor the polynomials.

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

x^2+5x+6 = (x+3)(x+2)

(x^2-4)/(x^2+5x+6) = (x+2)(x-2)/[(x+3)(x+2)] = (x-2)/(x+3)

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$63. She pays $60 for the club and $3 in taxes.
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there is a beaker of 3.5% acid solution and a beaker of 6% acid solution in the science lab. Mr. Larson needs 200ml of 4.5% acid
disa [49]
Below are the choices:

A. 80 mL of the 3.5% solution and 120 mL of the 6% solution 

<span>B. 120 mL of the 3.5% solution and 80 mL of the 6% solution </span>

<span>C. 140 mL of the 3.5% solution and 60 mL of the 6% solution </span>

<span>D. 120 mL of the 3.5% solution and 80 mL of the 6% solution
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Let fraction of 3.5% in final solution be p. 

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<span>3.5p + 6 - 6p = 4.5 </span>

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6 0
3 years ago
Some helppppp!!!!! I’m having trouble
USPshnik [31]
Answer:

1.4*40=56cm, DVD’s he has

1.4*3=4.2cm

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What equation represents y=2x^2+24x+85 in vertex form
Andrej [43]
Y=a(x-h)^2+k

vertex form is basically completing the square

what you do is
for
y=ax^2+bx+c
1. isolate x terms
y=(ax^2+bx)+c
undistribute a
y=a(x^2+(b/a)x)+c
complete the square by take 1/2 of b/a and squaring it then adding negative and postive inside
y=a(x^2+(b/a)x+(b^2)/(4a^2)-(b^2)/(4a^2))+c
complete square
too messy \
anyway

y=2x^2+24x+85
isolate
y=(2x^2+24x)+85
undistribute
y=2(x^2+12x)+85
1/2 of 12 is 6, 6^2=36
add neagtive and postivie isnde
y=2(x^2+12x+36-36)+85
complete perfect square
y=2((x+6)^2-36)+85
distribute
y=2(x+6)^2-72+85
y=2(x+6)^2+13

vertex form is
y=2(x+6)^2+13
8 0
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