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laila [671]
3 years ago
14

A dividend is _________-

Mathematics
2 answers:
taurus [48]3 years ago
5 0

Answer:

a number to be divided by another number

Nonamiya [84]3 years ago
5 0

Answer:

Dividend: a number divided by another number.

For example: If 72 was divided by 3. Then 72 would be the dividend

Another definition is: sum of money paid on a regular basis by a company to shareholders.

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Y=10x+100 what is the independent and dependent variable in this equation
valentina_108 [34]

Answer:

In this equation X is independent variable while Y is dependent variable.

Step-by-step explanation:

Equation:

Y=10x+100

Independent variable in math:

A variable in an equation that may have its value freely chosen without considering values of any other variable.

Dependent variable in math:

A dependent variable is a variable in an expression, equation, or function that has its value determined by the choice of value of other variable.

<u>According to above definitions Y is dependent of x. As we changes the value of x the value of Y changes.</u>

For example if x = 1, Y will be 110.

And if x = 10, Y will be 200.


6 0
3 years ago
Use differentiation rules to find the values of a and b that make the function f(x) = ( x 2 if x ≤ 2, ax3 + bx if x &gt; 2 diffe
Maurinko [17]

Answer:

The values of a and b are  a=\frac{1}{4} and b = 1

Step-by-step explanation:

* <em>Lets explain how to solve the equation</em>

  f(x) =  {x²                x  ≤ 2

            {ax³ + bx     x > 2  

* We need to find the values of a , b that make the function

 differentiable at x = 2

- <em>At first for f(x) to be continuous at x = 2, substitute x by two in the</em>

<em>  the two expressions and equate them</em>

∵ f(x) = x² at x ≤ 2 and f(x) = ax³ + bx at x > 2

∴ f(2) = (2)² = 4 ⇒ (1)

∴ f(2) = a(2)³ + b(2)

∴ f(2) = 8a + 2b ⇒ (2)

- Equate (1) and (2)

∴ 8a + 2b = 4 ⇒ (3)

* <em>For f(x) to be differentiable when x = 2, the function must be </em>

<em>  continuous when x = 2 and the one-sided derivatives must be </em>

<em>  equal when x = 2</em>

# <u>Remember</u>: If f(x)=ax^{b} , then f'(x)=abx^{b-1}

 If f(x)=ax , then f'(x)=a

 If f(x)=a , then f'(x)=0

∵ f(x) = x²

∴ f'(x) = 2x

- Substitute x by 2

∴ f'(2) = 2(2) = 4

∴ f'(2) = 4 ⇒ (4)

∵ f(x) = ax³ + bx

∴ f'(x) = 3ax² + b

- substitute x by 2

∴ f'(2) = 3a(2)² + b

∴ f'(2) = 12a + b ⇒ (5)

- Equate (4) and (5)

∴ 12a + b = 4 ⇒ (6)

* Now we have system of equations

 8a + 2b = 4 ⇒ (3)

 12a + b = 4 ⇒ (6)

- Multiply equation (6) by -2 to eliminate b

∴ -24 a - 2b = -8 ⇒ (7)

- Add equations (3) and (7)

∴ -16a = -4

- Divide both sides by -16

∴ a = \frac{1}{4}

- substitute the value of a in equation (6)

∴ 12(\frac{1}{4})+b=4

∴ 3 + b = 4

- Subtract 3 from both sides

∴ b = 1

* The values of a and b are  a=\frac{1}{4} and b = 1

5 0
3 years ago
What is the result of the mathematical expression of 1b^3+1b?
soldier1979 [14.2K]

Answer:

Step-by-step explanation:

b^3+b

5 0
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Which unit of measure would you use to weigh your bike?
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Pounds is the correct unit of measure
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Help I need help right now pls someone and thanks
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C because i took the test
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