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liubo4ka [24]
3 years ago
13

Taxi A charges $0.20 per mile and an initial fee of $4. Taxi B charges $0.40 per mile and an initial fee of $2. Write an inequal

ity that can determine when the cost of Taxi B will be greater than Taxi A. A) 0.20x + 4 > 0.40x + 2 B) 0.20x + 4 < 0.40x + 2 C) 0.20x + 0.40x > 4 + 2 D) 0.20x + 0.40x < 4 + 2
Mathematics
2 answers:
makkiz [27]3 years ago
8 0

The expression for the cost of Taxi B is 0.40<em>x</em> + 2.<em>  </em>The expression for the cost of Taxi A is 0.20<em>x</em> + 4.  The inequality asks for when the cost of Taxi B will be greater than Taxi A, so you write it as 0.40<em>x </em>+ 2 > 0.20<em>x</em> + 4,  or  0.20<em>x</em> + 4 < 0.40<em>x </em>+ 2.

The answer is B) 0.20<em>x</em> + 4 < 0.40<em>x </em>+ 2.

NARA [144]3 years ago
3 0

Answer: B. 0.20x+4

Step-by-step explanation:

let x denotes the number of mile taxi runs.

Given : Taxi A charges $0.20 per mile and an initial fee of $4.

i.e. the expression to show total charge by Taxi A will be :0.20x+4

Taxi B charges $0.40 per mile and an initial fee of $2.

i.e. the expression to show total charge by Taxi B will be :0.40x+2

Now, the inequality that can determine when the cost of Taxi B will be greater than Taxi A will be :-

0.20x+4

Hence, B is the correct answer.

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F(x) = x^2. What is g(x)
Alexeev081 [22]

Answer:

g(x) = - x² - 4 ⇒ A

Step-by-step explanation:

Let us revise the reflection and translation of a function

  • If the function f(x) reflected across the x-axis, then its image is g(x) = - f(x)
  • If the function f(x) reflected across the y-axis, then its image is g(x) = f(-x)
  • If the function f(x) translated horizontally to the right by h units, then its image is g(x) = f(x - h)  
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f(x) = x² is the blue curve

g(x) is its image is the red curve

∵ g(x) is the image of f(x)

∵ f(x) is opened upward

∵ g(x) is opened downward

→ That means the sign of y-coordinates of all points on the blue

   graph are opposite

∴ f(x) is reflected about the x-axis

∴ Its image is - f(x)

∵ The vertex of f(x) is (0, 0)

∵ The vertex of g(x) = (0, -4)

→ That means the function translated 4 units down

∴ - f(x) is translated 4 units down

∴ Its image is - f(x) - 4

∴ g(x) = - f(x) - 4

∵ f(x) = x²

∴ g(x) = - x² - 4

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The y-intercept must be at -7, so that eliminates C.

Because of the direction of the line, the slope needs to be negative. This eliminates B.

The slope of the line is -7/6, so D is the correct answer.

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Answer:

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Step-by-step explanation:

Area of a triangle- 1/2 x h x base

8 x4= 32

32/2= 16

5 0
3 years ago
Read 2 more answers
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