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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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Dr. Gonzalez is considering joining the Garden Club. If he pays a $25 membership fee, he
ziro4ka [17]

Answer:

In the Garden Club the cost will be a fixed fee of $25 and $10 for each rosebush, so if he buys X rosebushes, the total cost will be:

C1(X) = $25 + $10*X

While in the local nursery there is no initial cost, and each rosebush costs $15, so if he buys X rosebushes, the total cost will be:

C2(X) = $15*X

Now, let's find the value of X where C1 and C2 are equal, this is:

$25 + $10*X = $15*X

$25 = $15*X - $10*X = $5*X

X = 25/5 = 5

This means that if he buys 5 rosebushes, he will pay the same amount in both places.

If he buys less than 5 rosebushes, he will pay less in the local nursery (as it has a bigger slope, but no initial fee)

If he buys more than 5 rosebushes, he will pay less in the Garden club (because it has a smaller slope)

5 0
3 years ago
I'll mark brainliest thanks in advance ​
dezoksy [38]

Answer:

x = 2

Step-by-step explanation:

These are known as alternate exterior angles. These types of angles are equal to each other.

8x-7=2x+5\\6x-7=5\\6x=12\\x=2

8 0
2 years ago
Miguels book has 208 pages. Kristens book have n fewer pages then miguels book. Write an exprssion to represent the number of pa
77julia77 [94]

Answer:

208-n

Step-by-step explanation:

208 is Miguel number and in is Kristen. Miguel has a greater number of pages than Kristen so you would have to subtract n from it. Hope this helps! :P

3 0
2 years ago
Help me with this and I'll mark you as Brain
SSSSS [86.1K]

Answer:

a) x^3y2

b) 6x^2y^3

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
What is bigger 0.7liters or 500 millileters​
Mkey [24]

Answer:

0.7 Ls

Step-by-step explanation:

A liter (L) and a milliliter (mL) are two units for measuring capacity in the metric system. The bottle pictured at the right holds 1 L of water. About twenty drops of water equals 1 mL. To convert liters to milliliters, To convert milliliters to liters, multiply by 1,000.

5 0
3 years ago
Read 2 more answers
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