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VashaNatasha [74]
4 years ago
10

Simplify the expression. (t −2)6

Mathematics
1 answer:
goldfiish [28.3K]4 years ago
5 0
(t-2)6 = 6t-12              Hope this helps!
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Find a4 for the arithmetic series with S4=-36 and a1=9
erastova [34]

ANSWER

The 4th term is -27

EXPLANATION

The sum of the first n-terms of an arithmetic sequence is

S_n= \frac{n}{2} (2a_1+d(n-1))

It was given that,

S_4 =  - 36

a_1 = 9

- 36= \frac{ 4}{2} (2 \times 9+d(4-1))

-36=2(18+3d)

-18=18+3d

-18 - 18 = 3d

3d =  - 36

d =  - 12

The n-term is given by:

a_n=a_1+ (n-1)d

We substitute n=4 to get,

a_4=9+ (4-1)  \times -12

a_4=9+ 3\times -12

a_4=9 - 36

a_4= - 27

5 0
3 years ago
For which equation would x = 3 be a solution?
frutty [35]

1. b , 2. A

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7 0
3 years ago
Need help asap please​
vivado [14]

Answer:

c=7.17

Step-by-step explanation:

23=6c-20

43=6c

7.17=c

8 0
3 years ago
Read 2 more answers
F(x)=3x 3 inverse function
scoundrel [369]

Step-by-step explanation:

if I understand this correctly than you are looking for the inverse function of f(x) = y = 3x³.

the inverse function simply tries to calculate the original x it of the original y.

and then, to make it a formal function, we rename x to y and y to x.

y = 3x³

x³ = y/3

x =  \sqrt[3]{ \frac{y}{3} }

=> as "regular" function

y  =  {f}^{ - 1} (x)=  \sqrt[3]{ \frac{x}{3} }

4 0
3 years ago
Simplify the expression 6 + (4h + 3).
Levart [38]

Let's simplify step-by-step.

6+4h+3

Combine Like Terms:

=6+4h+3

=(4h)+(6+3)

=4h+9

Answer:

=4h+9

7 0
3 years ago
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