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abruzzese [7]
3 years ago
14

What is the domain of f(x) = 3√x

Mathematics
1 answer:
jenyasd209 [6]3 years ago
6 0

Answer:

[0, infinity)

Step-by-step explanation:

The square root is a function that is not defined for negative values, since they belong to another space, the complex space.

Having that in mind that means

x>=0

That's it

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Write an equation in standard form of the line passing through the points (3,3) and (-3,5)
Korvikt [17]

Answer:

The equation of line AB  with points (3,3) and (-3,5) is given as

: x + 3y = 12

Step-by-step explanation:

Here, the given points are A (3, 3) and B (-3,5).

Now, slope of any line is given as :

m = \frac{y_2 - y_1}{x_2 - x_1}

or, m = \frac{5-3}{-3 - 3}   = \frac{2}{-6}  = -\frac{1}{3}

Hence, the slope of the line AB is (-1/3)

Now , A POINT SLOPE FORM of an equation is

(y - y0)  = m (x - x0) ; (x0, y0)  is any arbitrary point on line.

So, for the point (3,3) the equation of the line is

y - 3y-3 = -\frac{1}{3} (x-3)   \implies 3y - 9 = 3 -x

Hence, the equation of line AB  with points (3,3) and (-3,5) is given as:

x + 3y = 12

8 0
3 years ago
Kim rode her biyciclye 135 miles in 9 weeks. Eric rode her biciclye 102 miles in 6 weeks riding the sam edistance each week what
sdas [7]

Answer:

A.) Eric rode 2 more miles per week than Kim rode

Step-by-step explanation:

A.) Eric rode 2 more miles per week than Kim rode

B.)Kim rode 3 more miles per week than Erick rode

C.) Kim rode 11 more miles per week than Erick rode

D.) Eric rode 17 more miles per week than Kim rode

Kim rode her biyciclye 135 miles in 9 weeks.

Number of miles Kim rode per week = Total miles travelled / number of weeks

= 135 miles / 9 weeks

= 15 miles per week

Eric rode her biciclye 102 miles in 6 weeks

Number of miles Eric rode per week = Total miles travelled / number of weeks

= 102 miles / 6 weeks

= 17 miles per week

The correct answer is

A.) Eric rode 2 more miles per week than Kim rode

3 0
3 years ago
Two mechanics worked on a car. The first mechanic charged $115 per hour, and the second mechanic charged $50 per hour. The mecha
anygoal [31]
115*20=2300.
50*5=250

First mechanic 20 hours
Second mechanic 5 hours
8 0
3 years ago
It costs luis 5$ to park his car at a parking meter for 2 hours. What is the price to park for 1 hour? Draw a bar model or write
Aliun [14]

Answer:

$2.50

Step-by-step explanation:

If it costs $5 for two hours and one hour is half of two hours, you take half of $5 and use it as your answer, so your answer is $2.50

3 0
3 years ago
Dana is planning to drive 400 miles from
GaryK [48]

Answer:

A. 8 gallons

B. Drive by car is $59.4 cheaper than travel by train

Step-by-step explanation:

According to the scenario, given data are as follows,

Total drive = 400 miles

Total drive per gallon = 50 miles

Fuel cost per gallon = $4.45

A. So, Total fuel required to drive 400 miles can be calculated as follows,

Total fuel required =  Total drive ÷ Total drive per gallon

By putting value, we get,

Total fuel required = 400 ÷ 50

= 8 gallons

B. Total cost if drive by car = 8 gallons × $4.45 = $35.6

Cost if travel by train = $95

Hence it is clearly shows that drive by car is much cheaper than travel by train.

Cost saved by travel by car = $95 - $35.6 = $59.4

So, drive by car is $59.4 cheaper than travel by train.

5 0
3 years ago
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