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DENIUS [597]
2 years ago
8

The solution to the equation 3(x + 2) = 2(2x + 2) is a) 4 b) 2 c) 3 d) 0

Mathematics
1 answer:
vodomira [7]2 years ago
5 0

Step-by-step explanation:

<u>Use distributive property:</u>

3x+6=4x+4

<u>Eliminate one variable:</u>

Subtract 3x from both sides.

6=x+4

<u>Subtract 4 from both sides:</u>

2=x.

B is correct.

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Which one of these formulas describes the following sequence?<br><br> 1,5,12,22,35
kati45 [8]

We can find a formula for nth term of the given sequence as follows:

1, 5, 12, 22, 35

The 1st differences between terms:

4, 7, 10, 13

The 2nd differences :

3, 3, 3

Since it takes two rounds of differences to arrive at a constant difference between terms, the nth term will be a 2nd degree polynomial of the form: a n^2 + b n + c, where c is a constant. The coefficients a, b, and the constant c can be found.

We can form the following 3 equations with 3 unknowns a, b, c:

1 = a\cdot1^2 + b\cdot1 + c\\5 = \cdot2^2 + b\cdot2 + c\\12 = a\cdot3^2 + b\cdot3 + c

Solving for a, b, c, we get:

a = 3/2, b = -1/2, c = 0

Therefore, the nth term of the given sequence is:

\boxed{ a_n = \dfrac{3}{2}n^2- \dfrac{1}{2} n}

7 0
3 years ago
Please help.....fast​
BaLLatris [955]

Answer:

Scalene triangle as there are no sides given.

or,

Measure it using a ruler and classify it based on the result.

Step-by-step explanation:

Scalene triangle = No sides are equal.

Isosceles triangle = 2 sides equal.

Equilateral triangle = All sides equal.

Right angled triangle = One angle is 90.

Since, the picture hasn't given any sides, i am gonna say it's a scalene triangle.

If, the triangle is for measure, measure it using a ruler and classify it based on the result.

6 0
3 years ago
Sam opened a restaurant. On the first day he had 100 customers. On the fourth day he had 160 customers. If the number of custome
IRISSAK [1]

Answer:

120 customers on the 2nd day

Step-by-step explanation:

100/1ST DAY

120/2nd day

140/3rd day

160/ 4TH DAY

3 0
2 years ago
Given an 8 foot length of tree trunk with a radius of 3 feet, what is the volume of the tree trunk section? (to the nearest whol
trasher [3.6K]
The answer would be c)226. hope this helps!
5 0
3 years ago
Read 2 more answers
43 17 30 52 61 12 21 30 11 27 for mean,median,mode,and range
tester [92]
The mean is 30.4 the median is 28.5 the mode is 30 and the range is 50
7 0
3 years ago
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