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Margaret [11]
2 years ago
13

Factorize (3x-2y)2 + 3(3x-2y)-10

Mathematics
1 answer:
Zarrin [17]2 years ago
3 0

Answer:

5(3x-2y-2) i think. i am sorry if i am wrong

Step-by-step explanation:

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The first term of an arithmetic sequence is 14. The 25th term is 206. What is the common difference of the arithmetic sequence?
larisa [96]

an = a1+ d(n-1)

a1 =14

an=206  when n=25

206 = 14 + d (25-1)

206 = 14 + d * 24

subtract 14 from each side

192 = 24d

divide by 24 on each side

d=8

The common difference is 8

3 0
2 years ago
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Mother wants to divide $36 between her daughters Ava and Charlotte in the ratio of their ages. If Ava is 15 years old and Charlo
Fantom [35]

Answer:

Ava's share = $20

Charlotte's share = $16

Step-by-step explanation:

15x + 12x = 36 : multiply each girl's age by same amount and adding gives $36

27x = 36 : add x terms

x = 36 / 27 : divide both sides of equation by 27

x = 4 / 3

Ava's share = 15x = 15 * 4/3 = 20

Charlotte's share = 12x = 12 * 4/3 = 16

8 0
3 years ago
Following the lead of the National Wildlife Federation, the Department of the Interior of a South American country began to reco
chubhunter [2.5K]

Answer:

After 2009 the quality of the forests in this country improving.

Step-by-step explanation:

Consider the provided function.

f(t) = \frac{1}{3}t^3-\frac{5}{2}t^2 + 80

f'(t) = t^2-5t

Substitute f'(t)=0.

t^2-5t=0

t(t-5)=0

t=0\ or\ t=5

It is given that  (0 ≤ t ≤ 10)

The test interval are (0,5) and (5,10)

For (0 < t < 5) the value of f'(t)

For (5 < t < 10) the value of f'(t) >0

Hence, the function is increasing from (5,10).

t = 0 corresponds to 2004.

Therefore, after 2009 the quality of the forests in this country improving.

7 0
3 years ago
The midpoint between (-4, 4) and (-2, 2)
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The midpoint is (-3,3)
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2 years ago
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Answer:

15cm^2

Step-by-step explanation:

The given polygon is a parallelogram,

Area of a parallelogram = Base * Height

                                       = 5cm * 3cm

                                       = 15cm^2

Hope it helped :)

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2 years ago
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