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Ksenya-84 [330]
3 years ago
8

The distance traveled by a car at a constant rate is proportional to the time spent driving. In the equation d = 45t, d represen

ts the distance (in miles) and t represents the time (in hours).
A. What is the constant of proportionality? ____ miles per hour

b.How far will a car travel in 3 hours?____ miles
Mathematics
1 answer:
OverLord2011 [107]3 years ago
8 0
The constant of proportionality should be 45 miles per hour, and the car should travel 135 miles in three hours.
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A piecewise function is shown here:
prohojiy [21]

f(0) = -3(0) + 5 = 5

f(-4) = -3(-4) + 5 = 17

f(6) = ½(6) - 4 = -1

f(9) = 2

f(2) = ½(2) - 4 = -3

Using the restraints, find which equation the f(x) function validates and plug it in.

6 0
1 year ago
A 50 foot rope weighing a total of 32 lbs extended over a cliff that is 35 feet to the ground. A large 8 pound bucket with 19 ga
larisa86 [58]

Answer:

A function that gives the work required in foot-lbs to lift the bucket up x feet from the ground is W=16(50-x)+(19-\frac{x}{5})(8.3)x and  the work to get the bucket to the top of the cliff is 3726 foot-lbs

Step-by-step explanation:

Work done to lift the rope by distance x feet:

W_1=32(\frac{50-x}{2})

Work done to lift the bucket by distance x feet:

W_2=(19-\frac{x}{5})(8.3)x

On reaching top 7 gallons of water spilled out so , on going up by x feet \frac{7x}{35}=\frac{x}{5} gallons of water spilled out.

a function that gives the work required in foot-lbs to lift the bucket up x feet from the ground:

W=16(50-x)+(19-\frac{x}{5})(8.3)x

Now the work to get the bucket to the top of the cliff i.e. x =35

W=16(50-35)+(19-\frac{35}{5})(8.3)(35)

W=3726

Hence, a function that gives the work required in foot-lbs to lift the bucket up x feet from the ground is W=16(50-x)+(19-\frac{x}{5})(8.3)x and  the work to get the bucket to the top of the cliff is 3726 foot-lbs

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2 years ago
Use the number line to determine the unknown addend in the given number sentence.
Gnesinka [82]

Answer:

C

Step-by-step explanation:

-4+(-5)=-9

-4=-9+5

-4=-4......correct

5 0
3 years ago
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Anna007 [38]

Answer:

the sum of x and 15 is -16 because it is a straight line which means the straight line is a function.

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2 years ago
Name two solutions to y = 3x - 5
wlad13 [49]

Answer:

(1,-2) and (0,-5) (There are an infinite amount more)

Step-by-step explanation:

The easiest way to find solutions is to plug in an x value. Let's try 1:

y = 3(1) - 5⇒y = 3 - 5⇒y = -2

(1,-2)

Let's try 0:

y = 3(0) - 5⇒y = 0 - 5 ⇒y = -5

(0,-5)

6 0
3 years ago
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