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NISA [10]
3 years ago
5

What is 39/40 as a decimal?

Mathematics
2 answers:
tamaranim1 [39]3 years ago
8 0
When u divide 39 on 40 you unbelievably sure  will get 0.975
Cerrena [4.2K]3 years ago
4 0
39/40 as a decimal is 0.975
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find the values for c and d that make the function differentiable:f(x) = 5x^2 + c if x = or < than 3dx^2 - 3 if x > 3
daser333 [38]

9514 1404 393

Answer:

  c = -3; d = 5

Step-by-step explanation:

The function is differentiable if it is continuous and the derivative is continuous.

This function will be continuous if the limit as x approaches 3 from either side is the same. From the left, the limit is ...

  5(3^2) +c = 45 +c

From the right, the limit is ...

  d(3^2) -3 = 9d -3

__

The derivative will be continuous if the limit as x approaches 3 from either side is the same. From the left, the limit is ...

  f'(x) = 10x

  = 10(3) = 30

From the right, the limit is ...

  f'(x) = 2dx

  = 2d(3) = 6d

__

This gives us a pair of simultaneous equations in 'c' and 'd':

  45 +c = 9d -3

  6d = 30

The latter tells us d = 5. Then the former tells us ...

  45 +c = 9(5) -3   ⇒   c = -3

The function is differentiable if c = -3 and d = 5.

_____

<em>Additional comment</em>

With these values, the function becomes ...

  f(x)=\begin{cases}5x^2-3&\text{if }x\le 3\\5x^2-3&\text{if }x>3\end{cases}

4 0
3 years ago
PLEASE HELP ASAP I'M BEING TIMED!!!!!!!!!!!!!!!!!!!!!! WIll mark BRAINLIEST!!!!!!!!!!!!
irina [24]

A) Use the distance formula to find the length of each side, and then add the lengths.

6 0
3 years ago
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Convert from radians to degrees.
Westkost [7]

Answer:

135°

Step-by-step explanation:

8 0
2 years ago
The table shows the outputs, y, for different inputs, x: Input (x) 3 7 11 15 Output (y) 4 6 8 10 Part A: Do the data in this tab
stiv31 [10]

Answer:

Step-by-step explanation:

x (3,7,11,15)

y (4,6,8,10)

A. This IS a function because u have no repeating x values

B. Data in table :

    when x = 11, y = 8

   relation : f(x) = 5x - 21....when x = 11

                  f(11) = 5(11) - 21

                  f(11) = 55 - 21

                  f(11) = 34.....so when x = 11, y = 34

therefore, the relation f(x) = 5x - 21 has a greater value then the table

C. f(x) = 5x - 21......f(x) = 99

   99 = 5x - 21

   99 + 21 = 5x

   120 = 5x

   120/5 = x

   24 = x <====

3 0
3 years ago
The equations below represent the numbers y of tickets sold after x weeks for two different local music festivals.
kiruha [24]

Answer:

Part a) 3.5 weeks

Part b) 185 tickets

Step-by-step explanation:

Part a) After how much time have the same number of tickets been sold for both festivals?

Let

x -----> the number of weeks

y ----> the number of tickets sold

we have

<em>Country Music Festival</em>

y=10x+150 ----> equation A

<em>Pop Music Festival</em>

y=20x+115 ----> equation B

Equate equation A and equation B

20x+115=10x+150

solve for x

20x-10x=150-115

10x=35

x=3.5\ weeks

Part b) What is the number of tickets sold at that time?

substitute the value of x=3.5 weeks  in the linear equation A or linear equation B

y=10(3.5)+150

y=35+150

y=185\ tickets

6 0
3 years ago
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