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Vilka [71]
3 years ago
14

Simplify 2/3 (12 – 21c) Enter your answer in the

Mathematics
2 answers:
Snowcat [4.5K]3 years ago
8 0

Answer:

8-14c

Step-by-step explanation:

2/3 (12 – 21c)

2/3(12)-2/3(21c) [distribute property]

8-14c

mixas84 [53]3 years ago
8 0

Step-by-step explanation:

2/3(12-21c)=2(4-7c)=8-14c

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F(x) = 3x-1 and g(x)=2x^2
Law Incorporation [45]

Answer:

See below

Step-by-step explanation:

a.  here you are to multiply the two functions together:

(3x-1)(2x^{2} )=6x^{3}-2x^{2}

b.  here you are to subtract g from f:

(3x-1)-(2x^{2})=-2x^{2}+3x-1

c.  here you are to compose g into f.  In other words, pick up the whole g function and plug it into f wherever you see an x:

3(2x^{2} )-1=6x^{2} -1

d.  here you are compose f into g.  In other words, pick up the whole f function and plug it into g wherever you see an x:

2(3x-1)^2

You now have to FOIL out the (3x-1) like so:

2[(3x-1)(3x-1)]

which gives you

2(9x^{2} -6x+1)

Distribute in the 2 and you'll end up with the answer:

18x^{2} -12x+2

3 0
3 years ago
Solve the following inequality for w 8w+8>-10w-5
Vlad [161]

Answer:

Step-by-step explanation:

8w+8 > -10w-5

18w + 8 > -5

18w > -13

w > -13/18

8 0
3 years ago
The first element in an arithmetic sequence is 2. Its twenty second is 14. Find the value of n so that a(n)=6
Aleks04 [339]

Answer:

<h2>n = 8</h2>

Step-by-step explanation:

Given the nth term of an arithmetic sequence to be Tn = a+(n-1)d

a = first term of the sequence

n = number of terms

d = common difference.

Given the first element a = 2 and 22nd to be 14

T22 = a+(22-1)d = 14

a+21d = 14

Substtuting a = 2 into the equation to get d

2+21d = 14

21d = 12

d = 12/21

d = 4/7

The nth term of the sequence given a = 2 and d = 4/7 will be expressed as;

Tn = 2+(n-1)4/7

Given Tn = 6

6 = 2+(n-1)4/7

6 = 2+4/7 n - 4/7

6-2+4/7 = 4/7 n

32/7=4/7 n

32 = 4n

n = 32/4

n = 8

8 0
3 years ago
Find the five arithmetic means between -18 and 36
Andreas93 [3]
Yeah it really be like that sometimes, you gotta try girl
5 0
3 years ago
Cristine's middle school has a total of 900 students and 45 teachers. The local high school has 110 teachers and a student-teach
RUDIKE [14]
Well what I would do first is divide the 900 student by the 445 teacher to get 20 students per teacher. Now I would take that 20 and multiply it by 110 teacher to get 2200 Students.

Answer= C) 2200 Students
4 0
3 years ago
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