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3 years ago

Solve for brainliest please

Mathematics

2 answers:

Romashka-Z-Leto [24]3 years ago

7 0

Answer : D=19

◊ YusuCr ◊

velikii [3]3 years ago

4 0

Answer: The value of d 62 + 5

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Find f(a), f(a+h), and 71. f(x) = 7x - 3 f(a+h)-f(a) h if h = 0. 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 h 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

Stephanie rdes her bike 2 miles to the post office, and then another 50 yards to the train station. How many yards long was her

mestny [16]

There are 1,760 yards in a mile.

Multiply 1,760 by 2 = 3,520

Add 50 to 3,520 = 3,570

Stephanie's trip was 3,570 yards long.

7 0

4 years ago

-7x - 12 = - 7х + 3(-4 - x)

dsp73

Answer:

$x=0$

Step-by-step explanation:

$-7x - 12 = - 7x + 3(-4 - x)$

Open up the parentheses

$-7x - 12 = - 7x -12-3x$

-7x cancels out on both sides

$-12 =-12-3x$

-12 cancels out on both sides

$0=-3x\\x=0$

I hope this helps!

4 0

3 years ago

2x+2y=16 , 6x+4y=38 what is the value of x

ra1l [238]

1st equation—x, substitute y:
3x + 2(x + 3) = 16 
3x + 2x + 6 = 16 
5x = 10 
x = 2 

y in the above equation: 
= 2 + 3 
= 5 

Answer: x = 2, y = 5

5 0

3 years ago

How do you simplify this expression? 9x(7-4) (2) +9 the 2 is an exponent

brilliants [131]

Here is a way you can write an exponent on the phone (x^2) just so you don’t have to explain the 2 is an exponent

i am confused on where the exponent is supposed to be so could you please rewrite it and i will help you solve it!

7 0

3 years ago