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Snezhnost [94]
3 years ago
7

For the following line segments ,Solve for x

Mathematics
1 answer:
liubo4ka [24]3 years ago
8 0

3x+7+4=44|-4

3x+7=40|-7

3x=33|÷3

x=11

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Find an equation of the tangent plane to the given surface at the specified point. z = ln(x − 8y), (9, 1, 0)
Archy [21]

Answer:

x - 8y - z = 1

Step-by-step explanation:

Data provided according to the question is as follows

f(x,y) = z = ln(x - 8y)

Now the equation for the tangent plane to the surface

For z = f (x,y) at the point P (x_0,y_0,z_0) is

z - z_0 = f_x(x_0,y_0)(x-x_0) + f_y(x_0,y_0)(y-y_0)\\

Now the partial derivatives of f are

f_x(x,y) = \frac{1}{x-8y} \\\\f_y(x,y) = \frac{8}{x-8y} \\\\P(x_0,y_0,z_0) = (9,1,0)\\\\f_z(9,1,0) = (\frac{1}{x-8y})_^{(9,1,0)}

\\\\=\frac{1}{9-8}

= 1

Now

f_y(9,1,0)=(\frac{8}{x-8y})_{(9,1,0)}\\\\ = -\frac{8}{9 - 8}

= -8

So, the tangent equation is

z - 0 = 1\times (x - 9) -8\times (y - 1)

Now after solving this, the following equation arise

z = x - 9 - 8y + 8

z = x - 8y - 1

Therefore

x - 8y - z = 1

4 0
3 years ago
Can someone please help me with these? I will give you the brainliest answer and also give extra points! I really need help :(​
Ierofanga [76]

Answer:

1. No solution

2. Infinite many solutions

3. One solution

4. No solution

5. No solution

6. One solution

7. No solution

8. One solution

9. Infinite many solutions

10. Infinite many solutions

Step-by-step explanation:

6 0
3 years ago
16) Your salary goes from $8.75 an hour at your present job to $16.50 an hour in your new job. What is
Agata [3.3K]

Answer:

The percent change in salary from one job to the next is 88.57%.

Step-by-step explanation:

The previous salary of per hour =  $8.75 per hour

The current salary of per hour  = $16.50 per hour

Change in the salary rate per hour  =  Current salary  -  Previous Salary

                                                             = $16.50 per hour -  $8.75 per hour

                                                             =$7.75 per hour

⇒The change in the salary per hour rate is $7.75

Now, \textrm{Percentage Change in salary}  = \frac{\textrm{Change in the rate of salary}}{\textrm{Previous Salary}}  \times 100

= \frac{7.75}{8.75}  \times 100 = 88.57

or, the change in salary percentage is 88.57%

Hence, the percent change in salary from one job to the next is 88.57%.

4 0
3 years ago
Please help me solve ​
IgorLugansk [536]
Here’s the answer
Enjoy

3 0
3 years ago
Which is an exponential growth function f(x)=6(0.25)x<br> f(x)=0.25(5.25)x
Vikki [24]

Answer: Second Option

f(x)=0.25(5.25)^x

Step-by-step explanation:

The exponential growth functions have the following form:

f(x) = a(b)^x

Where a is the main coefficient, b is the base and x is the exponent.

For this type of functions the base b must always be greater than 1. Otherwise it would be an exponential decay function

Among the options given, the only function whose base is greater than 1 is the second option:

f(x)=0.25(5.25)^x

6 0
3 years ago
Read 2 more answers
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