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aleksley [76]
4 years ago
9

Lisa takes 3 hours to mow the lawn, while her cousin, Barb, takes 2 hours. How long will it take them working together? ​

Mathematics
2 answers:
zheka24 [161]4 years ago
8 0

Answer:

1.5

Step-by-step explanation:

prisoha [69]4 years ago
3 0
It would take them 1.5 hours to work together :)
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What is the difference quotient of the function g(x) = 4^x
lidiya [134]

Answer:

First choice

Step-by-step explanation:

The difference quotient in general is  \frac{g(x+h)-g(x)}{h}. To get an expression for  g(x+h), replace  x  with x + h.

For this question,

\frac{4^{x+h}-4^x}{h}=\frac{4^x\cdot4^h-4^x}{h}

Factor  4^x out of the numerator.

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8 0
3 years ago
PART A: Maria rented a coat at $285 for 3 days. If she rents the same coat for 60 days, she has to pay a total rent of $510. Wri
Dmitriy789 [7]
<span>1) Name the variables

Number of days: x

rent: y

2) state the initial points

   x           y
days        $

  3           285

60           510


3) assume linear relation:

=> (y - yo) / (x - xo) = (y1 - yo) / (x1 - xo)

=> (y - 285) / (x - 3) = (510 - 285) / (60 - 3)

=> (y - 285) / (x - 3) = 225 / 57 = 75 / 19

=> 19 (y - 285) = 75 (x - 3)

=> 19y - 19*285 = 75x - 75*3

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=> 19y  - 75x = 5190

=> standar form = -75x + 19y = 5190


PART B: Write the equation obtained in Part A using function notation.

-75x + 19y = 5190

=> 19y = 5190 + 75x

=> y = 5190/19 + (75/19)x

=> function notation = f(x) = (75/19)x + 5190 / 19

PART C: Describe the steps to graph the equation obtained above on the coordinate axes. Mention the labels on the axes and the intervals.

1) Coordinate axes:

x: number of days

y: rent

2) draw the two given points: (3,285) and (60, 510)

3) draw the line that joins those points from the interception of the y-axis until some points further (60, 510).
</span>
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