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IrinaVladis [17]
3 years ago
10

Based on the graph of the functions, which of the following statements is true?

Mathematics
1 answer:
marusya05 [52]3 years ago
6 0

Answer:

  C.  g(x) eventually exceeds f(x) because g(x) is increasing exponentially

Step-by-step explanation:

Comments on the other choices:

  A -- an exponential function eventually exceeds any polynomial function. (A linear function is a polynomial of degree 1.)

  B -- at x=13, f(x) = 17; g(x) ≈ 18.2, so g(x) is more

  D -- over the given interval, the average rate of change of g(x) is about 1/2 (1 unit rise for 2 units run) compared to the slope of 1 that f(x) has.

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Find the equation of the line shown.
vladimir1956 [14]

Answer:

y = - x + 9

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (0, 9) and (x₂, y₂ ) = (9, 0) ← 2 points on the line

m = \frac{0-9}{9-0} = \frac{-9}{9} = - 1

the line crosses the y- axis at (0, 9 ) ⇒ c = 9

y = - x + 9 ← equation of line

4 0
2 years ago
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How do I solve this: -3x+2y=2<br> 5x-2y=-10
Dvinal [7]

Answer:


Step-by-step explanation:

Solution is given below in attachment

4 0
3 years ago
You have $30 to spend on dinner. You can calculate the sakes tax and tip by multiplying the price by .21. What is the most that
Dovator [93]
Answer: 21 dollars

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5 0
3 years ago
Carol has only 20p and 10p coins in her purse she has three times as many 20p coins and 10p coins if Carol has ?4.20 altogether,
irinina [24]

Suppose that Carol has x 10p coins in her purse. Since she has three times as many 20p coins as 10p coins, then she has 3x 20p coins in her purse.

x coins of 10p value $0.10x and 3x coins of 20p value $0.60x.

In total this amount of money is $(0.10x+0.60x)=$0.70x that is exactly $4.20. Thus, you get the equation

0.70x=4.20.

Solve it:

x=\dfrac{4.20}{0.70}=6.

Carol has 6 coins of 10p and 3·6=18 coins of 20p.


7 0
3 years ago
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steposvetlana [31]

Answer:

18 inches.

Step-by-step explanation:

Hope this helps! Would you like an explanation?

3 0
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