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dezoksy [38]
3 years ago
15

F(x)=x^2+6 and g(x)=2x-1 G[f(x)]= A.4x^2-4x+7 B.2x^2+11 C.2x^2+5

Mathematics
1 answer:
Anna [14]3 years ago
8 0

Answer:

g( f(x) ) = 2x^2 + 11 (Answer choice B)

Step-by-step explanation:

g( f(x) ) involves using the function f(x) = x^2 + 6 as the input to g(x).

Here, g(x) = 2x - 1.  Replace the x in g(x) by "f(x)" and the x in 2x - 1 by x^2 + 6.  Then we have g( f(x) ) = 2[x^2 + 6] -1.  This can be simplified, as follows:

                                     = 2x^2 + 12 - 1, or 2x^2 + 11.  This is answer choice B.

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What is the next term of the geometric sequence?<br> 5,20,80
PIT_PIT [208]

Answer:

320

Step-by-step explanation:

5x4=20, 20x4=80, so that means the sequence is just multiplying by 4. 80x4=320, which is your answer.

3 0
3 years ago
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Which of the lines below has an undefined slope? A B 6 с LO D 5 O A. Line A O B. Line B O C. Line C O D. Line D​
Anna71 [15]

Answer:

B. Line B

General Formulas and Concepts:

<u>Algebra I</u>

Undefined slopes are when x equals a certain number.

Slope-Intercept Form: y = mx + b

  • m - slope
  • b - y-intercept

Step-by-step explanation:

From the given choices, B is the correct answer.

A has a slope of 0, so <em>m</em> = 0 and would become a horizontal line.

C has a negative slope, so it is not undefined.

D has a positive slope, so it is not undefined.

B shows a vertical line, and so it has an undefined slope.

8 0
2 years ago
-7 &lt; b/3 what is the answer
Nat2105 [25]
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3 0
3 years ago
Which expression is equivalent to r^9/r^3
Deffense [45]
\cfrac{r^9}{r^3} =r^{9-3}=r^6
4 0
3 years ago
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Find the mean of the data summarized in the given frequency distribution. Compare the computed mean to the actual mean of 47.3 m
Harlamova29_29 [7]

Answer:

47.4167

D. The computed mean is close to the actual mean because the difference between the means is less than 5%

Step-by-step explanation:

Given the distribution :

Speed(m/hr) ___ midpoint(x) ___ F ___fx

42 - 45 _______ 43.5 ________21 __ 913.5

46 - 49 _______47.5 _________15 __712.5

50 - 53 _______ 51.5 _________6 __ 309

54 - 57 _______ 55.5 ________ 4 ___ 222

58 - 61 ________59.5 ________ 2 ___ 119

The midpoint, x= sum of lower and upper boundary divided by 2

For instance, (42 + 45) / 2 = 43.5

The computed mean, Σfx / Σf = 2276 / 48 = 47.4167

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6 0
3 years ago
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