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2 years ago

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Mathematics

2 answers:

Rasek [7]2 years ago

8 0

Answer:

Minimum 2 hours

Step-by-step explanation:

Sunset Canyon Bikes charges $1.50 per hour and a $8.00 rental fee.

Equation:

y = 1.5x + 8

Blue Canyon Bikes charges $3.50 per hour and a $4.00 rental fee

Equation:

y = 3.5x + 4

The second equation has a greater slope so beyond the intersection of the lines the Sunset Canyon Bikes will have lower price.

The point of intersection is:

1.5x + 8 = 3.5x + 4
3.5x - 1.5x = 8 - 4
2x = 4
x = 2 hours

The graph is attached, where the red line is the first equation and the blue line is the second one.

Alinara [238K]2 years ago

5 0

Answer:

The answer is 3 hours I think.

Step-by-step explanation:

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The quadratic coefficient (the number multiplying t^2) depends only on gravity, and will be the same in all free-fall situations

KengaRu [80]

Answer:

239 who are you

Step-by-step explanation:

6 0

3 years ago

Audrey charges a flat fee of $4 for each delivery plus a certain amount, in dollars per mile , for each mile she drives .for a d

MAXImum [283]

Answer:

4+1m?? I’m pretty sure

Step-by-step explanation:

7 0

4 years ago

Suppose that the credit remaining on a phone card (in dollars) is a linear function of the total calling time (in minutes). When

Virty [35]

Answer:

Credit remaining after 21 minutes = $30.4

Step-by-step explanation:

Credit remaining on a phone card is a linear function of the total calling time.

When graphed, let the linear function representing the line is,

y = mx + b

Where 'm' = slope of the line

b = y-intercept

From the graph,

Slope of the line = -0.12

y = -0.12x + b

If this line passes through a point (33, 28.96),

28.96 = -0.12(33) + b

b = 28.96 + 3.96

b = 32.92

Therefore, the linear function is,

f(x) = -0.12x + 32.92

where x = calling time

Credit left in the card after 21 minutes,

f(21) = -0.12(21) + 32.92

= -2.52 + 32.92

= $30.4

6 0

3 years ago

The graph of the function f(x) is shown below.

faust18 [17]

Remember, parenthaees are like < and > and brackets ar like ≤ and ≥

domain is how far the x values go
x is left to right

we see they go from -3 to 5, with a filled in dot at -3 and empty dot at 5
means include -3 but not including 5
so like -3≤x<5
or in interval notation
[-3,5) is the domain

range
highest to lowest y value

range is from y=3 to y=-1
we gots full dots so we use brackets
range is [-1,3]

Domain=[-3,5)
Range=[-1,3]

B. read above and understand it

5 0

3 years ago

Write (8a-^3) -2/3 in simplest form

Anna71 [15]

$(8a^{-3})^{\frac{-2}{3}} = \frac{a^2}{4}$

Solution:

Given that,

$(8a^{-3})^{\frac{-2}{3}$

We have to write in simplest form

Use the following law of exponent

$(a^m)^n = a^{mn}$

Using this, simplify the given expression

$(8a^{-3})^{\frac{-2}{3}} = 8^{\frac{-2}{3}} \times a^{ -3 \times \frac{-2}{3}}\\\\Simplifying\ we\ get\\\\(8a^{-3})^{\frac{-2}{3}} = 8^{\frac{-2}{3}} \times a^2\\\\We\ know\ that\ 8 = 2^3\\\\Therefore\\\\(8a^{-3})^{\frac{-2}{3}} =2^3^{\frac{-2}{3}} \times a^2\\\\(8a^{-3})^{\frac{-2}{3}} =2^{-2} \times a^2\\\\(8a^{-3})^{\frac{-2}{3}} = \frac{a^2}{4}$

Thus the given expression is simplified

8 0

3 years ago