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
Help pls ASAP
SOLVING QUADRATIC EQUATIONS BY FACTORING
Answers
Answer:
Down, Down, Right, Right, diagonal left, up, right
Step-by-step explanation:
Not gonna do every equation here tho lol
Which of the following correctly shows the quotient of 75 divided by 5
Answers
Answer:
answer is when u will multiply 5 with 15 then u will got your answer
just kidding answer is 75
so 75 is quotient
but have written which of the following ( in the question)
so where is the options .points frreeeeeeeeeeeee :)
Answers
Answer:
thx m8
Step-by-step explanation:
:)
Answer:
No idea but ok
4.
(03.02)
Match each statement (term) with its value in relation to 0 (definition). (10 points)
1.
Oliver owes his sister $27.
2.
A building is 38 feet tall.
3.
Erica jumped 2.7 feet above ground.
4.
The scuba diver was 38 feet below sea level.
5.
The basement is 8.3 feet below ground.
a.
38
b.
-38
c.
-8.3
d.
-27
e.
2.7
Answers
Answer:
Below
Step-by-step explanation:
1.-d
2.-a
3.-e
4.-b
5.-c
Answer:
-8.3ithink so
Step-by-step explanation:
Compound interest compounded quarterly is given every ______ months. *
1 point
1
3
6
Answers
Answer:
3 months
a quarter is a period of three months
Step-by-step explanation:
please help ill mark brainliestl
Answers
Answer:
A) Yes...ABC and GFC are similar using AA.
Step-by-step explanation:
write an equation in standard form for a line that is (a) parallel (b) perpendicular to the line with an equation of Y= 3x -5 that passes through point (8,5)
Answers
Find the perimeter of the rectangle
Answers
Answer:
70Step-by-step explanation:
Find the perimeter of the rectangle
add the lengths of the rectangle's four sides
24 + 11 + 24 + 11 = 70
Need it now ‼️‼️‼️‼️will give brain list to who ever answers first
Answers
Answer:17/18
Step-by-step no explation
What is the area of a rectangle that has side lengths of 7 yard and yard?
10 square yard
18
20
square yard
15
24 square yard
8
square yard
My Progress
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Answers
is it like mutiplying and dividing
The area of the rectangle that has side lengths of 7 yards and 3 yards is 21 square yards.
What is the rectangular shape?Rectangles are quadrilaterals having four equal vertices and parallel sides that are equal to one another.
To find the area of the rectangle that has side lengths of 7 yards and 3 yards, use the formula as described below,
the area of the rectangle = length x width of the rectangle.
Substituting the value of the side lengths to the formula,
The area of the rectangle = 7 x 3
The area of the rectangle = 21 square yards.
Therefore, the area is 21 square yards.
To learn more about the rectangular;
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Two motorcyclists, who start their journeys at the same instance from two different cities,
travel with uniform speeds of 40 km/h and 50 km/h respectively towards each other. If they meet
each other after 1.5 hours after commencing their journeys, find the distance between the two
cities.
QUICK
Answers
Answer:
54
Step-by-step explanation:
Multiply. −2(−5)(−3)
Answers
Answer: -30
Step-by-step explanation:
-2 X -5 = 10
10 X -3 = -30
Therefore, -2(-5)(-3) = -30
The multiplication of −2(−5)(−3) is -30
The multiplication of numbers in brackets with negative signs takes a method whereby the signs are taken into account when performing the arithmetic operation.
From the given question, we are to multiply:
= - 2 × (-5) × (-3)
= +10 × (-3)
= -30
Learn more about the multiplication of numbers here:
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What is the value of the expression
4x+y when x = 2 and y = 4?
2y-1
Answers
8+4= 12
Input 2 into the space of the X since it’s together it will be multiplication. Do the same with Y. Then add and you’re done :)
Angles 1,2,3 and 4 are formed by two intersecting lines. State the single angle fact necessary to prove that m<1+m<2=m<2+m<3
Answers
The angle fact that is necessary to prove that m∠1 + m∠2 = m∠2 + m∠3 is: linear pair are supplementary.
Linear Pair/Angles on a Straight LineTwo angles on a straight line can be referred to as a linear pair.The sum of the angles of a linear pair equals 180 degrees (supplementary angles)Thus,
∠1 and ∠2 are on a straight line, therefore,
m∠1 + m∠2 = 180°
∠2 and ∠3 are on a straight line, therefore,
m∠2 + m∠3 = 180°
Thus:
m∠1 + m∠2 = m∠2 + m∠3
Therefore, the angle fact that is necessary to prove that m∠1 + m∠2 = m∠2 + m∠3 is: linear pair are supplementary.
Learn more about linear pair on:
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1. It is a way of comparing two or more quantities having the same units. * 1 point O a. decimal O b. addends . O c. ratio O d. numerals 2. Which of the following fractions is appropriate equivalent fraction of 3/4. 1 point O a. 4/8 O b. 9/12 O c. 10/15 Oc O d. 12/17
Answers
Answer:
Step-by-step explanation:
Equivalent fractions for 1/4
From this chart, we can observe that the equivalent fractions of 1/4 are: 2/8, 3/12, 4/16,... Two fractions are said to be equivalent if their values (decimal/graphical) are the same. We usually multiply the numerator and denominator of a fraction by the same number to get its equivalent fraction.
For each computer Isabella sells, she earns a 5% commission. If she sells 3 computers for
$985.00 each, what is her commission?
$14.78
b. $49.25
$147.75
a.
C.
Answers
What is log Subscript 5 Baseline (4 times 7) + log Subscript 5 Baseline 2 written as a single log?
Answers
log5(4*7)+log5(2)=log5(28)+log5(2)=log5(56)
Answer:
Its D
Step-by-step explanation:
just took the test
If the radius of the planet Mars is measured to be 3350 km, with a measurement error of plus or minus 100 km. What is the percent error when calculating the volume of the planet? Round your answer to 2 decimal places. Your answer
Answers
Mars is measured to be 3350 km, with a measurement error of plus or minus 100 km.
The percent error when calculating the volume of the planet is 8.95% if the radius of the planet Mars is measured to be 3350 km.
What is the error?The difference between the measured and analysis of the financial statements might well be defined as an error. For instance, if the two operators use the same complete and precise tool.
We have:
If the radius of the planet Mars is measured to be 3350 km, with a measurement error of plus or minus 100 km.
The radius r = (3350 ± 100) km
As we know, volume can be defined as a three-dimensional space enclosed by an object or thing.
V = (4/3)πr²
The percent error:
= [(experimental value - accepted value)/experimental value]×100
The percent error in volume = 3(100/3350)×100
The percent error in volume = 8.95%
Thus, the percent error when calculating the volume of the planet is 8.95% if the radius of the planet Mars is measured to be 3350 km.
Learn more about the error here:
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1300 divided by 2 in hurry
Answers
Answer: 650
Step-by-step explanation:
1300 divided by 2 is 650
If you are psting your questions from an assignment i hope that its not against tos
Answer:
650
Step-by-step explanation:
this is the answer have a great day now!
Which value of x makes the following equation true?
4.8(x - 4) = -0.2x + 15.8
A. 6
B. 10
C. 7
D. 9
Answers
Answer:
C
Step-by-step explanation:
multiply through by 10
10{4.8(x-4)} = 10(-0.2x) + 10(15.8)
48(x-4) = -2x + 158
48x - 192 = -2x +158
48x + 2x = 158 + 192
50x = 350
divide through by 50
x=350/50
x=7
therefore, answer = C
An item is regularly priced at $29. It is on sale for 80% off the regular price.
Answers
Eight people met in a public park for a nature walk. Before they set off to look for birds, they all introduce themselves and each person shook hands with each of the other people. How many handshake were exchanged?
Answers
Answer:
56 handshakes
Step-by-step explanation:
one person shakes seven hands
eight people shook seven hands each
8×7=56
Determine the slope of the line that contains the given points. E(-5,6), (4, -3) *
1 point
Your answer
Answers
Answer:
-1
Step-by-step explanation:
Use the slope formula to calculate
-3-6/4-(-5)
= -9/9
= -1 (Slope)
write me 2 equivalent fractions of 3/4=_=_
Answers
Answer:
6/8 and 12/16
Step-by-step explanation:
Important: 3/4 looks like a fraction, but it is actually an improper fraction.
There is an infinity number of equivalent fractions to 3/4. To find an equivalent fraction to 3/4 , or to any other fraction, you just need to multiply (or divide, if the fraction is not yet reduced), both the numerator and the denominator of the given fraction by any non-zero natural number. For example:
By multiplying the original fraction by 2, we get:
3x2/3x2=6/8
List of Equivalent Fractions of 3/4:
3/4, 6/8, 9/12, 12/16, 15/20, 18/24, 21/28, 24/32, 27/36, 30/40, 33/44, 36/48, 39/52, 42/56, 45/60, 48/64, 51/68, 54/72, 57/76, 60/80 ...
Describe the location from the origin of each point in problem 5
Answers
X is y% of what number?
Answers
Answer:
42
Step-by-step explanation:
yeah-ya.......... right?
Evaluate 3x + 34 if x = 5.
Answers
Answer:
49
Step-by-step explanation:
3x + 34
x = 5
3 * 5 + 34
15 + 34
49
3(5)+34
15+34
49
X=49
2+2 THIS IS A LIFE OR DEATH QUESTION PLZZ
Answers
UMMM I THINK IT'S UH A CARROT, I'M SMART the real answer is 4 though lol
On a basketball court the free throw line is marked off geometrically this area of the court is called a key and is topped
by a semi circle that has a diameter of 12 feet find the arc length of the semi circle to the nearest foot find the area of a semi circle to the nearest square foot
Answers
Step-by-step explanation:
Arc length formula is
[tex]s = rx[/tex]
where x is radinas.
A semi circle has a radian measure of
[tex]\pi[/tex]
The radius is half of the diameter, 12 so the radius is
[tex]12 \times \frac{1}{2} = 6[/tex]
So the arc length is
[tex]6 \times \pi = 6\pi[/tex]
Area of semi circle is
[tex] \frac{1}{2} \pi {r}^{2} [/tex]
where r is the radius.
[tex] \frac{1}{2} \pi6 {}^{2} [/tex]
[tex] \frac{1}{2} 36\pi[/tex]
[tex]18\pi[/tex]
Jorge heard that as a general rule, he should save at least 10% of his take-home pay. If Jorge’s take-home pay is $2950 per month, what is the minimum amount per year that he should save?
Answers
Answer:
$295
Step-by-step explanation:
2950 · 0.10 = 295