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Andrews [41]
3 years ago
9

Please help me find the value of x= thanks :)

Mathematics
1 answer:
max2010maxim [7]3 years ago
8 0
40 degrees , the other angle next to it is 60 because it is a vertical angle formation and then you use the 180 rule to find the missing angle

180-60-80

Answer is 40 mark brainy pls
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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
Whao knows what cuphead is?
kari74 [83]

Answer: i've heard about it but i'm not too much into it

7 0
2 years ago
Read 2 more answers
5,250 as scientific notation
earnstyle [38]

\text{Hey there!}

\text{5.250 as a scientific notation}

\bf{The\ answer\ is:}\boxed{\bf{5.25 \times10^3}}}}

\text{Because, we had to move your decimal approximately 3 placecs to the left}

\rightarrow\tex{= 5250. }

\boxed{\text{That's how we know the answer is: \bf{\boxed{5.25 \times10^3}}}}\checkmark

\text{Good luck on your assignment and enjoy your day!}

~\frak{LoveYourselfFirst:)}

4 0
3 years ago
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Ericka decided to compare her observation to the average annual trend, which shows the water rising 1.8 mm/year. Remember, she u
olga nikolaevna [1]

Answer:

Sample response:

Step-by-step explanation:

She would multiply the rate by the years to find the average rise in water levels, or 1.8 times 6.2 = 11.16. To find the difference between the water levels, she would subtract -13.64 from 11.16.

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3 years ago
Write an recursive formula for An, the nth term of the sequence<br> 5, -2, -9,
oksian1 [2.3K]

Given:

The given sequence is:

5,-2,-9,...

To find:

The recursive formula for a_n, the nth term of the sequence.

Solution:

We have,

5,-2,-9,...

Here, the first term is 5.

-2-5=-7

-9-(-2)=-9+2

-9-(-2)=-7

The common difference is -7.

The recursive formula for the nth term of the sequence is

a_n=a_{n-1}+d

Where, d is the common difference.

Putting d=-7 in the above formula, we get

a_n=a_{n-1}+(-7)

a_n=a_{n-1}-7

Therefore, the recursive formula for the nth term of the sequence is a_n=a_{n-1}-7.

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3 years ago
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