Answers
Answer:
8+h
Step-by-step explanation:
Simply substitute x = 2+h and x = 2 in.
[tex]\displaystyle \large{\frac{f(2+h)-f(2)}{h}=\frac{(2+h)^{2} +4(2+h)+5-[(2)^2+4(2)+5]}{h}}\\\displaystyle \large{\frac{f(2+h)-f(2)}{h}=\frac{4+4h+h^2 +8+4h+5-17}{h}}\\\displaystyle \large{\frac{f(2+h)-f(2)}{h}=\frac{h^2 +8h}{h}=h+8}[/tex]
Therefore, the answer is h+8 or 8+h.
Another way is to differentiate the function with respect to x. This equation or expression is rate of changes from 2 to 2+h with h being any numbers.
The definition of derivative is:
[tex]\displaystyle \large{f\prime(x)= \lim_{h \to 0}\frac{f(x+h)-f(x)}{h}}[/tex]
Notice how both f(2+h)-f(2) over h and the definition of derivative look same except the derivative has limit of h approaching to 0, making h not having any values by default.
Since f(2+h)-f(2) over h does not have limit, we have to add +h when differentiating the function.
[tex]\displaystyle \large{f\prime(x)=2x+4}\\\displaystyle \large{f\prime(2)=2(2)+4}\\\displaystyle \large{f\prime(2)=8}[/tex]
Since f’(2) is 8 but because f(2+h)-f(2)/h does not have limit of h, therefore we add +h.
[tex]\displaystyle \large{\frac{f(2+h)-f(2)}{h}=8+h}}[/tex]
Related Questions
The question is in the picture
Answers
Answer:
8
Step-by-step explanation:
help please thank you
Answers
Answer:
the second choice :)
Step-by-step explanation:
you can convert both denominators to 20 to enable you to add the two fractions, 4/5 times 4 is 16/20 and 2/4 times 5 is 10/20. 16/20+10/20=26/20
hope this helps!
Graph the function
f(x) = 3/5x - 5
Answers
Step-by-step explanation:
okay, plot a point at (0,-5) then count 3 units up and 5 units to the right and put a point there
connect the points with a straight line
add arrows to each end of the line :)
Does this table represent a linear or nonlinear function? x= 1, 2, 5 & y= 4, 7, 16
Answers
Answer:
linear
Step-by-step explanation:
The function is linear if the ratio of changes in y to changes in x is the same for any set of (x, y) pairs.
first two pairs: (y2 -y1)/(x2 -x1) = (7 -4)/(2 -1) = 3/1 = 3
second two pairs: (y3 -y2)/(x3 -x2) = (16 -7)/(5 -2) = 9/3 = 3
The slopes between points are the same for any pair of points, so they all lie on the same line. The function is linear.
A construction company needs to remove 2 5/6 tons of dirt from a construction site. They can remove 3/10 tons of dirt each hour. What is the total amount of hours it will take to remove the dirt?
Answers
Answer:
Here is a generic way to set up this type of algebra problem.
d = total amount of dirt at the site (tons)
r = rate or removal (tons/hr)
t = time it takes to remove all of the dirt (hr)
d = rt
The total amount of dirt equals the removal rate times hours spent removing all the dirt.
Since you want to solve for t, divide both sides by r
t = d/r
How do you rationalize the denominator of a radical expression that has two terms in the denominator? (For example, the denominator is 1+√5.)
Answers
Answer:
A / (1 +√5) = A (1 - √5) / (1 - 5) = -A (1 - √5) / 4
Multiply numerator and denominator by (1 - √5)
Solve each equation for x.
a(x-b)+bx+c=a+b
Answers
Answer:
[tex]x=\frac{ab+a+b-c}{a+b}[/tex]
Step-by-step explanation:
a(x−b)+bx+c=a+b
Step 1: Add ab to both sides.
−ab+ax+bx+c+ab=a+b+ab
ax+bx+c=ab+a+b
Step 2: Add -c to both sides.
ax+bx+c+−c=ab+a+b+−c
ax+bx=ab+a+b−c
Step 3: Factor out variable x.
x(a+b)=ab+a+b−c
Step 4: Divide both sides by a+b.
[tex]\frac{x(a+b)}{a+b} =\frac{ab+a+b-c}{a+b}[/tex]
[tex]x=\frac{ab+a+b-c}{a+b}[/tex]
Hope this helped! :)
Rachel has $10.00. She wants to buy a book that costs $6.79. Will she have enough
money left over to buy a pen for $3.50? Explain.
Answers
Answer:
No
Step-by-step explanation:
Because 10 - 6.79 = 3.21
Rachel will not have enough money left over to buy a pen for cost $3.50.
What is Subtraction?Subtraction can be done for any numbers or algebraic expressions. It is the process of taking out certain value from a given amount of number.
The process of subtraction can also be termed as finding difference. It is one of the basic operation in mathematics.
A number 'b' subtracted from 'a' is denoted as a - b, read as a minus b.
Total money Rachel has = $10.00
Cost of book = $6.79
If she buy the book,
Remaining money = $10.00 - $6.79
= $3.21
Cost of pen = $3.50, which is greater than the remaining money. So Rachel can't buy the pen.
Hence Rachel will not have enough money to buy a pen for $3.50 because she only has a balance of $3.21.
To learn more about Subtraction, click on the link given below :
https://brainly.com/question/2346316
#SPJ2
what is rational exponent of -(49)1/2?
Answers
[tex] {7}^{2( \frac{1}{2}) } \\ [/tex]
Cancel the common factor of 2.
[tex] {7}^{1} [/tex]
Evaluate the exponent[tex] \:= 7[/tex]
(5z+17.6)-(-3z+12.2)
Answers
Need help fast worth 20 points
Select the correct answer.
Which set of absolute values is compared correctly
OA. 1-10] < |-5| < |17| < 151
OB. 1-5| > |-10| > |-12| > |17||
OC. |10| > |-15] > [-5| > 12||
OD. |-101 < [12] < |-15| < |17||
Answers
Answer:
i think its b.
Step-by-step explanation:
correct me if im wrong. and it was worth 10 points instead of 20.
Factorise fully each of the following:
(a)
2ab + 3cd - cb - bad
-
-
Answers
Answer:
urs 6 2ab ytdguhdd bad wuy
Step-by-step explanation:
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A man earns $9.99 for each of the first 36 hours he works in one week and $14.99 in overtime pay for each
additional hour he works in the same week. How much money will he make if he works 46 hours in one week?
Answers
Answer:
459.54
Step-by-step explanation:
46(9.99)
=459.54
Answer:
$159.89
Step-by-step explanation:
36 hours + 10 hours = 46
14.99 * 10 = 149.9
(36 hours) $9.99 + (overtime pay) $149.9 = (Total money) $159.89
$9.99 + $149.9 = $159.89
$159.89
Which graph represents y = –2x?
Answers
Answer:
B, the second one down on the first page
Step-by-step explanation:
hope this helps! :D
brainliest is immensely appreciated!! <3
PLEASE HELP ILL GIVE5 STARS HELP ASAP
Answers
Answer:
H+2
Step-by-step explanation:
Please mark brainliest
What is 13x4=nx26 and tell me the answer
Answers
Answer:
There are a couple different solutions to your equation:
[tex]x=0[/tex]
[tex]x=\sqrt[22]{\frac{13}{n}}[/tex]
[tex]x=-\sqrt[22]{\frac{13}{n}}[/tex]
[tex]\:n\ne \:0[/tex]
The difference of p and 4
Answers
p-4
Or
4-p
There is a unlike term [p] and 4.So we can't subtract.We can only subtract when there is p and 4p(4p-p).Answer would be 3 p.Find the sum of the first 48 terms of the following series, to the nearest integer. 7,11,15
Answers
Answer:
7, 11, 15, 19, 23, 27, 31... and keep going until you have an answer.
Step-by-step explanation:
Just keep adding 4 until you have all the 48 terms you need.
someone said it is D CAN SOMEONE TELL ME THE RIGHT ONE
Answers
You welcome
Find the amount that results from a $900 investment invested at 7% interest,
compounded continuously, after 4 years.
Answers
A. y = 2x
B. y = x ÷ 2
C. y = x – 1
D. y = x + 1
Answers
Answer:
D) y = x + 1
Step-by-step explanation:
D is the answer because the slope is 1 and the y-intercept is 1
squared root of -100 = ____ + ____^i
Answers
Step-by-step explanation:
thats way of multiplication not 56
Answer:
√−100 = 0 + 10 i
Step-by-step explanation:
Yesterday, there were 100 problems assigned for math homework. Pablo got 60 problems correct and 40 problems incorrect. What percentage did Pablo get correct?
Answers
I Hope This Helps
The points K(5,-5)(5,−5), L(9,-5)(9,−5), and M(7,3)(7,3) form a triangle. Plot the points then click the "Graph Triangle" button.
Answers
(2,170), (5,365) slope
Answers
Answer:
To find the slope given two points, use the slope formula. The slope formula is Y2-Y1/X2-X1. Substitute in the given points and solve.
365-170/5-2
195/3
65
The slope of the two points is 65.
Hope this helps! :)
Pls help thank you so much
Answers
Solve for x.
х/12=3/2
Answers
Which term of the AP 21, 42, 63, 84, ..... is 210 ?
Answers
Answer:
The 10th term
Step-by-step explanation:
As we see these are all incrementing by 21 (and divisible by 21), we can divide all the terms by 21 and get 1, 2, 3, ...., 10
Therefore 210 is the 10th term.
Answer:
The 10th term is 210
Step-by-step explanation:
Let's revise our tables of 21.
21 x 1 = 2121 x 2 = 4221 x 3 = 6321 x 4 = 8421 x 5 = 10521 x 6 = 12621 x 7 = 14721 x 8 = 16821 x 9 = 18921 x 10 = 210Therefore, the 10th term will give 210.
Hoped this helped.
Tracey paid $150 for an item that was originally priced at $510. What percent of the original price did Tracey pay?
Answers
Answer:
29.4118%
Step-by-step explanation
510 * x = 150
x = .2941176
multiply by 100 to get percent
29.4118
Michael has 13 dollars in his wallet. His father gives him his allowance for the week. Now Michael has 18 dollars. How many dollars did Michael's father give him?
Answers
Answer: 5 Dollars
Step-by-step explanation: You only have to substract 13 of 18, the answer of that is 5.
Michaels after give him $5