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Helen [10]
3 years ago
15

F s(x) = 2 – x2 and t(x) = 3x, which value is equivalent to (s*t)(-7)

Mathematics
1 answer:
Natalija [7]3 years ago
5 0
S(x) = 2 - x²

t(x) = 3x

s(t(x)) = st(x)

s(t(x)) :

s(3x)

So in s(x) = 2 - x²,  to solve for s(3x) we replace x with 3x

s(x) = 2 - x²

s(3x) = 2 - (3x)²

          =  2 - 9x²

st(x) = 2 - 9x²

st(-7) = 2 - 9*(-7)(-7)

         = 2 - 9*49 = 2 - 441 = -439

st(-7) = -439
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Hey there! :)

Answer:

29/28.

Step-by-step explanation:

Starting with:

\frac{1}{4} + \frac{2}{7} + \frac{1}{2} =

Begin by finding a common denominator. A number that contains all of the denominators as a factor would be 28. Change each fraction to contain a denominator of 28:

\frac{7}{28} + \frac{8}{28} + \frac{14}{28} =

Add the fractions:

\frac{7}{28} + \frac{8}{28} + \frac{14}{28} = \frac{29}{28}

Therefore, the fractions sum up to 29/28.

3 0
3 years ago
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Which of the following are examples of a geometric sequence? Select any and all that apply: may be more than one correct answer.
nevsk [136]

Answer:

( 1 , -2 , 4 , -8 , 16 , ... )

( 9 , 3 , 1 , 1/3 , 1/9 , ... )

Step-by-step explanation:

A geometric sequence has a common ratio in consecutive terms,

In sequence,

1, \frac{1}{2}, \frac{1}{6},\frac{1}{24},\frac{1}{120}.....

\frac{1/2}{1}\neq \frac{1/6}{1/2}\neq \frac{1/24}{1/6}\neq \frac{1/120}{1/24}...

i.e.

1, \frac{1}{2}, \frac{1}{6},\frac{1}{24},\frac{1}{120}..... is not a Geometric sequence,

1 , -2 , 3 , -4 , 5 , ...

\frac{-2}{1}\neq \frac{3}{-2}\neq \frac{-4}{3}\neq \frac{5}{-4}...

i.e. 1 , -2 , 3 , -4 , 5 , ... is not a Geometric sequence,

In sequence,

1 , -2 , 4 , -8 , 16 , ...

\frac{-2}{1}=\frac{4}{-2}= \frac{-8}{4}= \frac{16}{-8}...

i.e. 1 , -2 , 4 , -8 , 16 , .... is a Geometric sequence,

In sequence,

0 , 1 , 0 , -1 , 0 , .....

\frac{1}{0}\neq \frac{0}{1}\neq \frac{-1}{0}\neq \frac{0}{-1}...

i.e. 0 , 1 , 0 , -1 , 0 , .....is not a Geometric sequence,

In sequence,

9 , 3 , 1 , 1/3 , 1/9 , ...

\frac{3}{9}=\frac{1}{3}= \frac{1/3}{1}= \frac{1/9}{1/3}...

i.e.  9 , 3 , 1 , 1/3 , 1/9 , ... is a Geometric sequence,

In sequence,

1 , 3 , 5 , 7 , 9 , ...

\frac{3}{1}\neq \frac{5}{3}\neq \frac{7}{5}\neq \frac{9}{7}...

i.e. 1 , 3 , 5 , 7 , 9 , ... is not a Geometric sequence

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3 years ago
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Answer:

12

Step-by-step explanation:

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\sqrt{144}=12

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