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dezoksy [38]
2 years ago
9

What is the rate of change for y= 8/7x + 5

Mathematics
2 answers:
Nataly [62]2 years ago
7 0
The rate of change is 8/7
Vanyuwa [196]2 years ago
6 0
1/7 + 5= 5 1/7 my teacher said
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What is 12 3/5 divided 2 1/10?
raketka [301]

Answer:

The answer is six

Step-by-step explanation:

12 3/5 = 63/5

2 1/10 = 21/10

63/5 divided by 21/10 is equal to 63/5 multiplied by 10/21 which is equal to 630/105 = 6 <-- answer

7 0
3 years ago
Safety regulations require that the time between airplane takeoffs (on the same runway) will be at least 3 minutes. When taking
Alenkinab [10]

Answer:

1.96 planes

Step-by-step explanation:

The computation of the number of planes is shown below:

As we know that

System Inventory  is

= Flow rate in the system × Throughput time

where,

Flow rate is

= Frequency of taken off

= 16 planes ÷ hour

= 16 ÷ 60 Planes per minute

Throughput time  is

=  runway waiting time + runway Run time

= 33 seconds +  6 minutes × 60 seconds + 48 seconds

= 441  seconds

= 441  per 60 seconds

Therefore the number of planes is

= \frac{441}{60} \times \frac{16}{60}

= 1.96 planes

4 0
3 years ago
Which points on the curve of x^2 - xy - y^2 = 5 have vertical tangent lines?
algol [13]

We need to differentiate this with respect to x to see if we can find an expression for the derivative of y at various points.  That will be the slope of the tangent to the curve.  Then we want to see where that derivative might be infinite -- i.e., where the tangent is vertical.

 

It's not written as a function, but it can still be differentiated using the chain rule:

 

x2 + xy + y2 = 3

(2x) + (x dy/dx + y dx/dx) + (2y dy/dx) = 0

 

(I used parentheses to show the differentiation of each term in the original equation.)

 

2x + x dy/dx + y + 2y dy/dx = 0

2x + y = -x dy/dx - 2y dy/dx

2x + y = dy/dx (-x -2y)

-(2x + y)/(x + 2y) = dy/dx

 

We have the derivative of y, but it's defined partly in terms of y itself.  That's OK.  Let's go on...

 

So where would the slope be infinite?  That would happen when x + 2y = 0, or y = -x/2

 

Let's plug that in for y in the original equation to find points where that's the case.

 

x2 + xy + y2 = 3

x2 + x(-x/2) + (-x/2)2 = 3

x2 - x2/2 + x2/4 = 3

3x2 / 4 = 3

x2 = 4

x = ±2

 

So we have two x values where the tangent might be vertical.  Let's plug them into the equation and see what the y values are.  First x = 2...

 

x2 + xy + y2 = 3

4 + 2y + y2 = 3

y2 + 2y + 1 = 0

(y + 1)2 = 0

y = -1

 

So at the point (2, -1) the tangent is vertical.

 

Now try x = -2...

 

x2 + xy + y2 = 3

4 - 2y + y2 = 3

y2 - 2y + 1 =0

(y - 1)2 = 0

y = 1

 

So at the point (-2, 1) the tangent is vertical.

8 0
2 years ago
A gardener has 72 feet of fencing to enclose a
ivann1987 [24]

Answer:

p =6w+8=6*(9/3)+8=46 so w =25/3ft and l=44/ 3

Step-by-step explanation:

5 0
3 years ago
If you divide a five digit number by a one digit number, what is the largest possible remainder you can get
Feliz [49]
99999. You can divide 99999 by 1 and get 99999.
5 0
3 years ago
Read 2 more answers
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