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Gekata [30.6K]
2 years ago
6

. Which Statement Is True??

Mathematics
1 answer:
Zepler [3.9K]2 years ago
6 0
C bc it’s greater that the original
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(6t^4-t+1) - (6t^3-4t)
goldenfox [79]

Answer:

= 6 {t}^{4}   - 6 {t}^{3}  + 3t + 1

Step-by-step explanation:

6 {t}^{4}  - t + 1 - 6 {t}^{3}  + 4t \\  = 6 {t}^{4}   - 6 {t}^{3}  + 3t + 1

5 0
2 years ago
40% of what number is 18?
vladimir1956 [14]

Answer:

45

40 percent (calculated percentage %) of what number equals 18? Answer: 45.

3 0
3 years ago
Read 2 more answers
What is the nth term rule of the quadratic sequence below?
Vladimir [108]

Answer:

3n² + 5n - 2

Step-by-step explanation:

<u>Given sequence</u>:

6, 20, 40, 66, 98, 136, ...

Calculate the <u>first differences</u> between the terms:

6 \underset{+14}{\longrightarrow} 20 \underset{+20}{\longrightarrow} 40 \underset{+26}{\longrightarrow} 66 \underset{+32}{\longrightarrow} 98 \underset{+38}{\longrightarrow} 136

As the first differences are not the same, calculate the <u>second differences:</u>

14 \underset{+6}{\longrightarrow} 20 \underset{+6}{\longrightarrow} 26 \underset{+6}{\longrightarrow} 32 \underset{+6}{\longrightarrow} 38

As the <u>second differences are the same</u>, the sequence is quadratic and will contain an n² term.

The <u>coefficient</u> of the n² term is <u>half of the second difference</u>.

Therefore, the n² term is:  3n²

Compare 3n² with the given sequence:

\begin{array}{|c|c|c|c|c|}\cline{1-5} n & 1 & 2 & 3 & 4\\\cline{1-5} 3n^2 & 3 & 12 & 27 & 48 \\\cline{1-5} \sf operation & +3&+8 & +13 & +18 \\\cline{1-5} \sf sequence & 6 & 20 & 40 & 66\\\cline{1-5}\end{array}

The second operations are different, therefore calculate the differences <em>between</em> the second operations:

3 \underset{+5}{\longrightarrow} 8 \underset{+5}{\longrightarrow} 13\underset{+5}{\longrightarrow} 18

As the differences are the same, we need to add 5n as the second operation:

\begin{array}{|c|c|c|c|c|}\cline{1-5} n & 1 & 2 & 3 & 4\\\cline{1-5} 3n^2  +5n & 8&22 & 42 & 68\\\cline{1-5}\sf operation & -2 &-2  &-2  & -2  \\\cline{1-5} \sf sequence & 6 & 20 & 40 & 66\\\cline{1-5}\end{array}

Finally, we can clearly see that the operation to get from 3n² + 5n to the given sequence is to subtract 2.

Therefore, the nth term of the quadratic sequence is:

3n² + 5n - 2

6 0
1 year ago
solve the systems of linear equations by graphing y=-5/2x-7 x+2y=4 what is the solution to the system of linear equations A. (-4
Sati [7]
The appropriate choice is
  A. (-4.5, 4.25)

3 0
3 years ago
Read 2 more answers
Find the length of side x in simplest radical form with a rational denominator.
devlian [24]

Answer:

x = 2√2

Step-by-step explanation:

This is a 45-45-90 triangle. This means that if the legs are x, then the hypotenuse is x√2.

In the case, the hypotenuse is already 4. So we have the equation:

x√2 = 4

Multiply both sides by √2

2x = 4√2

Divide both sides by 2

x = 2√2

5 0
3 years ago
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