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PSYCHO15rus [73]
2 years ago
7

$

Mathematics
1 answer:
evablogger [386]2 years ago
4 0

Answer:Number Example Natural number are those number which we can count.It denoted by N

Step-by-step explanation:

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The difference between eight times a number and three is equal to negative nineteen. What is the number? 2 -2 -3 3
castortr0y [4]
The answer is -2 because 8(-2)-3=-19
8(-2)= -16-3=-19
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3 years ago
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Whats 2+2
Colt1911 [192]
2+2=4 because if you have 2 and you add another 2 you will have 4
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A line passes through the points (1, 3) and (3, -1) on a coordinate plane. What is the equation of this line in slope-intercept
FromTheMoon [43]

Answer:

y=[-2]x[+][5]

Step-by-step explanation:

\frac{-1-3}{3-1}=\frac{-4}{2} =-2 m= -2

Using the point (1,3) Find the value of b

3= -2(1)+b

3= -2+b

+2  +2

---------

5=b

y= -2x+5

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2 years ago
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Write an algebraic expression for each word expression.
coldgirl [10]

Answer:

27) 14x

28) n/9

29) A number, z, divided by 11

30) The sum of a number, z, and 11

7 0
2 years ago
Find f(a), f(a+h), and<br> 71. f(x) = 7x - 3<br> f(a+h)-f(a)<br> h<br> if h = 0.<br> 72. f(x) = 5x²
Leni [432]

Answer:

71. \ \ \ f(a) \  = \  7a \ - \ 3; \ f(a+h) \  =  \ 7a \ + \ 7h \ - \ 3; \ \displaystyle\frac{f(a+h) \ - \ f(a)}{h} \ = \ 7

72. \ \ \ f(a) \  = \  5a^{2}; \ f(a+h) \  =  \ {5a}^{2} \ + \ 10ah \ + \ {5h}^{2}; \ \displaystyle\frac{f(a+h) \ - \ f(a)}{h} \ = \ 10a \ + \ 5h

Step-by-step explanation:

In single-variable calculus, the difference quotient is the expression

                                              \displaystyle\frac{f(x+h) \ - \ f(x)}{h},

which its name comes from the fact that it is the quotient of the difference of the evaluated values of the function by the difference of its corresponding input values (as shown in the figure below).

This expression looks similar to the method of evaluating the slope of a line. Indeed, the difference quotient provides the slope of a secant line (in blue) that passes through two coordinate points on a curve.

                                             m \ \ = \ \ \displaystyle\frac{\Delta y}{\Delta x} \ \ = \ \ \displaystyle\frac{rise}{run}.

Similarly, the difference quotient is a measure of the average rate of change of the function over an interval. When the limit of the difference quotient is taken as <em>h</em> approaches 0 gives the instantaneous rate of change (rate of change in an instant) or the derivative of the function.

Therefore,

              71. \ \ \ \ \ \displaystyle\frac{f(a \ + \ h) \ - \ f(a)}{h} \ \ = \ \ \displaystyle\frac{(7a \ + \ 7h \ - \ 3) \ - \ (7a \ - \ 3)}{h} \\ \\ \-\hspace{4.25cm} = \ \ \displaystyle\frac{7h}{h} \\ \\ \-\hspace{4.25cm} = \ \ 7

               72. \ \ \ \ \ \displaystyle\frac{f(a \ + \ h) \ - \ f(a)}{h} \ \ = \ \ \displaystyle\frac{{5(a \ + \ h)}^{2} \ - \ {5(a)}^{2}}{h} \\ \\ \-\hspace{4.25cm} = \ \ \displaystyle\frac{{5a}^{2} \ + \ 10ah \ + \ {5h}^{2} \ - \ {5a}^{2}}{h} \\ \\ \-\hspace{4.25cm} = \ \ \displaystyle\frac{h(10a \ + \ 5h)}{h} \\ \\ \-\hspace{4.25cm} = \ \ 10a \ + \ 5h

4 0
2 years ago
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