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SVETLANKA909090 [29]
3 years ago
9

Factor the GCF: 30a3b4 + 20a2b2 - 15ab3. Please help

Mathematics
1 answer:
Blizzard [7]3 years ago
8 0

Answer:

The GCF for the variable part is ab².

GCF<em>Variable</em>=ab²

Multiply the GCF of the numerical part 5 and the GCF of the variable part ab².

5ab²

Step-by-step explanation:

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Next number in sequence 3 -6 12 4 20 ?
Artyom0805 [142]
-6 - 3 = -9
12 - (-6) = 18
4 - 12 = -8
20 - 4 = 16
The first difference is -9. The third difference is -8.
Maybe the fifth difference is -7.
That makes the next term 13.

<span>3, -6, 12, 4, 20, 13</span>
8 0
3 years ago
Mohamed decided to track the number of leaves on the tree in his backyard each year The first year there were 500 leaves Each ye
svetlana [45]

Answer:

The required recursive formula is

f(n)= 500\times(1.4)^{n-1}\\

Step-by-step explanation:

Mohamed decided to track the number of leaves on the tree in his backyard each year.

The first year there were 500 leaves

Year \: 1 = 500

Each year thereafter the number of leaves was 40% more than the year before so that means

Year \: 2 = 500(1+0.40) = 500\times 1.4\\

For the third year the number of leaves increase 40% than the year before so that means

Year \: 3 = 500\times 1.4(1+0.40) = 500 \times 1.4^{2}\\

Similarly for fourth year,

Year \: 4 = 500\times 1.4^{2}(1+0.40) = 500\times 1.4^{3}\\

So we can clearly see the pattern here

Let f(n) be the number of leaves on the tree in Mohameds back yard in the nth year since he started tracking it then general recursive formula is

f(n)= 500\times(1.4)^{n-1}\\

This is the required recursive formula to find the number of leaves for the nth year.

Bonus:

Lets find out the number of leaves in the 10th year,

f(10)= 500\times(1.4)^{10-1}\\\\f(10)= 500\times(1.4)^{9}\\\\f(10)= 500\times20.66\\\\f(10)= 10330

So there will be 10330 leaves in the 10th year.

3 0
3 years ago
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Answer:

you can

Step-by-step explanation:

they are not like terms because the number 6 has and x next to it and 17 doesn't

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Answer:

I believe the radius is half the circle which makes the diameter 2x the radius which is 35+35= 70

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2 years ago
Please help <br> I took a screenshot of the question
Ymorist [56]
I don’t understand what the question is telling me
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