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IRINA_888 [86]
3 years ago
9

If x^2=y^2+2y+6 and dx/dt=8. Find dy/dt at the point (3,1). I don't know how to find it at the point or how to start finding the

derivatives.
Mathematics
1 answer:
Nuetrik [128]3 years ago
4 0

Answer

dx/dt = ±3 when y = 6

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A biker rode 45 miles in 180 minutes. At what speed (in miles per hour) was the biker travelling? A. 4 B. 17 C. 9 D. 12
Anastasy [175]

Answer:

v = 15 miles / hour

Step-by-step explanation:

Given:

Distance covered by biker = s=45 miles

time taken by him = t=180 minutes

TO Find:

speed in miles per hour = v = ?

Solution:

As it is given that the distance covered is 45 miles

and time taken by him is 180 minutes

as one hour have 60 minutes

so time taken by rider = t = 180 /60

                                          = 3 hours

this step is done because we have to find speed in miles per hour

Now

The formula for finding the distance is

distance = speed * time

or

s = v * t

we have to find v

so dividing both sides by t

\frac{s}{t} = \frac{v*t}{t}

it becomes

v = \frac{s}{t}

Putting the values

v = \frac{45}{3}

solving it gives

v = 15 miles / hour

which is the required speed

in the given options it is not available


5 0
3 years ago
5. What is an equation of the line in slope-intercept form?
777dan777 [17]

Answer:

y = (2/7)x -12

Step-by-step explanation:

y = mx + b is the standard form of an equation of a straight line in which m is the slope and b is the y-intercept (the value of y when x is zero)..

<u>m</u>=(2/7) and <u>b</u> = -12

y =   <u>m</u>x  + <u>b</u>

y = (<u>2/7</u>)x <u>-12</u>

8 0
3 years ago
What is the value of p so that the expression 6x+3−(8x−5) is equivalent to (px+8) ?
Harman [31]
6x+3-(8x-5)
=
-2x(x-4)
=
2x+8
=
p = 2
8 0
3 years ago
On a recent trip to the convenience store, you picked up 4 gallons of milk, 6 bottles of water and 5 snack size bags of chips. Y
cricket20 [7]

Answer:

Cost of a snack size bag of chips = $0.8

Cost of a water bottle = $1.6

Cost of a gallon of milk = $3.4

Step-by-step explanation:

Let the cost of water bottle = $a

Cost of 1 gallon milk = $b

and cost of 1 bag of chips = $c

So, cost of 4 gallons of milk, 6 bottles of water and 5 bags of chips = $(4b + 6a + 5c)

4b + 6a + 5c = 27.2 -----(1)

Cost of one water bottle = 2 × cost of one bag of chips

a = 2c -----(2)

A gallon of milk = cost of water bottle + $1.80

b = a + 1.8

From equation (2)

b = 2c + 1.8 -----(3)

Now we substitute these values from equations (2) and (3) in equation (1)

4(2c + 1.8) + 6(2c) + 5c = 27.2

8c + 7.2 + 12c + 5c = 27.2

25c = 27.2 - 7.2

c = \frac{20}{25}

c = $0.8

From equation (2)

a = 2×0.8

a = $1.6

From equation (3)

b = 2(0.8) + 1.8

b = 1.6 + 1.8

b = $3.4

Therefore, cost of a snack size bag of chips = $0.8

Cost of a water bottle = $1.6

Cost of a gallon of milk = $3.4

5 0
3 years ago
It doesnt matter anymore, im gonna fail and nobody has been answering my question honestly, or not even reading it at all..
Papessa [141]

Answer: aw dont be sad

Step-by-step explanation:

stay happy

4 0
3 years ago
Read 2 more answers
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