Answers
Answer:
[tex]\frac{f(x+h)-f(x)}{h}[/tex][tex]=2x + h[/tex]
Step-by-step explanation:
Given
[tex]f(x)= x^2 + 2[/tex]
Required
Determine: [tex]\frac{f(x+h)-f(x)}{h}[/tex]
First, we calculate f(x + h)
[tex]f(x)= x^2 + 2[/tex]
[tex]f(x+h) = (x+h)^2+2[/tex]
[tex]f(x+h) = x^2+2xh+h^2+2[/tex]
So, we have:
[tex]\frac{f(x+h)-f(x)}{h}[/tex] [tex]= \frac{x^2 + 2xh + h^2 + 2 - x^2 - 2}{h}[/tex]
[tex]\frac{f(x+h)-f(x)}{h}[/tex][tex]= \frac{x^2 - x^2+ 2xh + h^2 + 2 - 2}{h}[/tex]
[tex]\frac{f(x+h)-f(x)}{h}[/tex] [tex]= \frac{2xh + h^2}{h}[/tex]
[tex]\frac{f(x+h)-f(x)}{h}[/tex][tex]=2x + h[/tex]
Related Questions
What best describes the expression y over 4? (5 points)
a. Some number divided by 4
b. Some numbers times 4
c. 4 more than some number
d. 4 less than some number
I prefer you 100% know the answer and not “think” this is very important!!
Answers
Answer:
a
Step-by-step explanation:
Use the substitution method to solve the system of equations. choose the correct ordered pair.x+y=12 -x=-y+10
Answers
Answer:
x=1 y=11
Step-by-step explanation:
In a first-aid kit the ratio of large bandages to
small bandages is 5 to 3. Based on this ratio,
how many large bandages are in the kit if there
are a total of 80 bandages?
A. 50
B. 48
C. 16
D. 40
Answers
Hope this helps :)
What is the minimum of the sinusoidal function?
Answers
Answer: The minimum is -4.
Step-by-step explanation:
The minimum of a function:
y = f(x)
will be the smallest value of y that the function gives.
such that, if the minimum is y = m
m ≤ f(x) ∀ x
In this case, we can see that the smallest value of y is:
y = -4
Then the minimum of the sinusoidal function is -4.
PLEASE HELP ME ON THIS QUESTION!! Ren invested in two businesses in 2010. She invested $50,000 in Dawn's Flowers, which guaranteed a 7% return per year.
Her investment in Pop's Coffeeshop is represented by the function V(t)=24,500(1.06)t.
Which statements are true?
Select each correct answer.
Dawn's Flowers earned a greater rate of return than Pop's Coffeeshop.
In 2020, the Pop's Coffeeshop investment will have a greater value than the Dawn's Flowers investment.
Ren's initial investment in Dawn's Flowers was greater than her initial investment in Pop's Coffeeshop.
In 2015, the Pop's Coffeeshop investment had a greater value than the Dawn's Flowers investment.
Answers
Answer:
Dawn's Flowers earned a greater rate of return than Pop's Coffeeshop
Ren's initial investment in Dawn's Flowers was greater than her initial investment in Pop's Coffeeshop.
how many perfect square are there between 1,000,000 and 9,000,000?
Answers
Answer:
1999
Step-by-step explanation:
The square root of 1,000,000 = 1,000.
The square root of 9,000,000 = 3,000.
This means that the number of perfect square will be every number from 1,000^2 to 3,000^2. To find how many numbers that is, just do 3000-1000 = 2000, and then subtract one because otherwise you would be counting the 3000^2 which you don't want to do (it asks how many perfect squares are between the two numbers).
2000 - 1 = 1999.
The number of perfect squares between the values 1,000,000 and 9,000,000 would be 1999
Taking the square root of the boundaries :
√1,000,000 = 1000√9,000,000 = 3000The number of perfect squares would be :
[(√9,000,000 - √1,000,000) - 1]
[3000 - 1000] - 1
2000 - 1
= 1999
Hence, the number of perfect squares would be 1999.
Learn more : https://brainly.com/question/7287026
Will give brainliest
What is the missing reason in step three?
A.SAS
B.SSS
C. Triangle sum theorem
D. CPCTC
Answers
HURRY!! 8.1=8w- 17.5. Solve for w
Answers
Need explaining?
8 (3x-6) = 6(4x + 8)
Answers
Answer:
There is no solution to make it true.
Step-by-step explanation:
24x - 48 = 24x + 48
Then you cancel 24x on both sides
-48 = 48
Since -48 = 48 is false , there is no solution
How many real and how many are imaginary
Please Explain how to do it
Answers
Answer:
no idea bud
Step-by-step explanation:
Answer:
There are no real solutions, and 2 imaginary solutions.
Step-by-step explanation:
There are no real solutions since the function never touches the x-axis and it does not have any roots. Imaginary solutions always come in pairs, and since the exponent degree of x is 2, there are 2 solutions to the problem. You can find the imaginary solutions by plugging the equation into the quadratic formula.
y= x/5 +3
a line perpendicular to this line would have a slope of
Answers
Sasha ate 3 pieces of bacon for breakfast and ate some pieces for lunch. How many pieces of bacon did she eat today?
Answers
This is a trick question. Unless we know how much she’s eaten for lunch, we can’t figure out how much she ate.
How do I find the volume of this pyramid
Answers
Answer:
10*10*12 = 120 ÷ 3 = 40
Step-by-step explanation:
The formula to find a pyramid's volume is
V = [tex]\frac{l*w*h}{3}[/tex] (length 'times' width 'times' height, divided by 3)
Can someone help me with these 2 questions please???
Answers
Answer:
See step-by-step explanation.
Step-by-step explanation:
For the first question, you simply put an EMPTY circle above 2 and draw an arrow from it all the way down to -3. The reason why we put an empty circle is because there is no equal sign below it.
For the second question, you put a FILLED circle above 4 and draw an arrow from it all the way down to -3. The reason why we use a filled circle is because x is less than OR equal to 4.
A profit of a football club after a takeover is modeled by p(t) = t3 - 14t2 + 20t + 120, which t is the number of years after the takeover. In which years was the club making loss?
Answers
p(t) = t^3 - 14t^2 + 20t + 120
Take derivative to find minimum:
p’(t) = 3t^2 - 28t + 10
Factor to solve for t:
p’(t) = (3t - 2)(t - 5)
0 = (3t - 2)(t - 5)
0 = 3t - 2
2 = 3t
2/3 = t
Plug 2/3 into original equation, this is a maximum. We want the minimum:
0 = t - 5
5 = t
Plug back into original:
5^3 - 14(5)^2 + 20(5) + 120
125 - 14(25) + 100 + 120
125 - 350 + 220
- 225 + 220
p(5) = -5
The club losses during the years 4.89 years<t<11.29 years.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Given,
Profit of a football club after a takeover is modeled by p(t) = t³ - 14t² + 20t + 120,
t is the number of years after the takeover
We need to find in which years was the club making loss
p(t) = t³ - 14t² + 20t + 120,
the profit is negative when the club is in loss.
Plot the cubic equation
The profit p(t) is negative in the interval (4.89,11.29)
The number of years t cannot be a negative number
Hence the club lost during the years 4.89 years<t<11.29 years.
To learn more on Graph click:
https://brainly.com/question/17267403
#SPJ2
PLEASE PLEASE HELP!!!
Answers
Answer:
398,765 books were sold
Step-by-step explanation:
How to get the answer:
1) Identify the given
32,300 is percentage
8.1 % is rate
base (b) is missing
2) Solve
b= p/r
b= 32,300 / 8.1% or 0.081
b= 398,765
3) Check
398,765 x 8.1% = 32,299.97 or 32,300
A family goes to a restaurant. When the bill comes, this is printed at the bottom of it:
Gratuity Guide showing 15%=4.89, 18%=5.87, and 20%=6.52
How much was the price of the meal?
Someone help I need the answer immediately.
Answers
0.15x = 4.89
x = $4.89/0.15 = $32.60
A set of equations is given below:
Equation S: y = x + 9
Equation T: y = 2x + 1
Which of the following steps can be used to find the solution to the set of equations? (4 points)
x = 2x + 1
x + 9 = 2x
x + 1 = 2x + 9
x + 9 = 2x + 1
Answers
Please help with my question
Answers
Answer:
[tex]5\frac{5}{6}[/tex]
Step-by-step explanation:
The problem above requires the use of mathematical operation with mixed fractions. In order to do this, you have to convert the mixed fractions into improper fractions first.
Let's convert.
[tex]3\frac{1}{2}[/tex] = [tex]\frac{7}{2}[/tex][tex]1\frac{2}{3}[/tex] = [tex]\frac{5}{3}[/tex]Next, you have to multiply the fractions by multiplying the numerators with each other and the denominators with each other.
Let's solve.
[tex]\frac{7}{2}[/tex] x [tex]\frac{5}{3}[/tex] = [tex]\frac{35}{6}[/tex]Since [tex]\frac{35}{6}[/tex] is an improper fraction and the choices above are mixed fractions, you have to convert it.
Let's convert.
[tex]\frac{35}{6}[/tex] = [tex]5\frac{5}{6}[/tex]Therefore, the answer is [tex]5\frac{5}{6}[/tex]
Plz guys help I need help
Answers
Find the third, fifth, and eleventh terms of the sequence described by the rule.
A(n) = - 6+ (n - 1)(6)
A(3)= ?
Answers
Answer:
A(3) = 6
A(5) = 18
A(11) = 54
PLS MARK AS BRAINLIEST
Write the set using the roster method A={a|a an even number and 15< a< =25}
Answers
Answer:
{16, 17, 18, 19, 20, 21, 22,23, 24, 25}
Step-by-step explanation:
Given the set A={a|a an even number and 15< a< =25}
The inequality 15< a< =25 mean the set A consists of all the values between 15 and 25 with 25 inclusive (due to presence of the equal to sign)
Hence the required set A are {16, 17, 18, 19, 20, 21, 22,23, 24, 25}
Note that 15 is excluded from the set of number since 15<a i.e a > 15
Simplify the expression below.
5(7x+4y+1)+2(8x+3y+6)
help plz!
Answers
Answer:
51x+26y+17
Step-by-step explanation:
Answer:
51x + 26y + 17
Step-by-step explanation:
distribute
5(7x) + 5(4y) + 5(1) + 2(8x) + 2(3y) + 2(6)
35x + 20y + 5 + 16x + 6y + 12
51x + 26y + 17
A triangle has two sides that measure 5 cm and 7 cm. Which of the following CANNOT be the measure of the third side? A 3 cm B 5 cm C 7 cm D 12cm
Answers
Answer:
D
Step-by-step explanation:
Saying the number of |`s is the number side and |<|||>|| then for a triangle i can say |+||>|||
What is the formula for circumference? а a C = (pi) bo C = 2r с C = (pi) r2
Answers
Answer:
2(pi)r=C
Step-by-step explanation:
Which is an example of figurative language? 10 points
Question 13 options:
1)
Definition
2)
Evidence
3)
Metaphor
4)
Claim
Answers
Answer:
Metaphor
Step-by-step explanation:
Figurative Language: Simile, Metaphor, Personification, Hyperbole
1. Lois has 10 coins in quarters and dimes in their pocket. After counting, the total value is $1.45. How many of each coin did Lois have?
Answers
Answer:
5 quarters and 2 dimes
Step-by-step explanation:
5 quarters make 1.25 + 10 cents = 1.45
Answer: she had five quarters and 2 dimes
Step-by-step explanation:
Find the equation of a line perpendicular to x=−4 that contains the point (−3,4). Write the equation in slope-intercept form.
Answers
Answer:
y=4
Step-by-step explanation:
We recognize x=−4 as a vertical line, so its perpendicular will be horizontal. The equation of the horizontal line containing the point (−3,4) is given by y=4.
The slope-intercept form of a line perpendicular to x=−4 that contains the point (−3,4) is y = 4.
What is the slope of a line that is perpendicular to the other line?The slope-intercept form of a line is y = mx + c.
Here, m = slope and c = y-intercept of the line.
The equation of the given line is x = - 4
Therefore, the given line is a vertical line.
Now, the line that is perpendicular to the line x = - 4, is a horizontal line.
Now, the horizontal line that passes through the point (- 3, 4) is y = 4.
Learn more about the slope-intercept form of a line here: https://brainly.com/question/15000427
#SPJ3
Find the measure of CD.
Round to the nearest tenth.
mCD= [?]
Answers
Answer:
The arc CD is: 114.64°
Step-by-step explanation:
The given triangle inside the circle, we can get the trigonometric ratio such as
sin x = opposite / hypotenuse
Here:
The opposite side of angle x = 36.7/2
The hypotenuse = 21.8
Thus,
sin x = [36.7/2] / [21.8]
sin x = 18.35 / 21.8
sin x = 0.8417
x = arc sin (0.8417)
x = 57.32°
Thus, the angle formed at the center by CD is:
2 x 57.32 = 114.64°
Therefore, the arc CD is: 114.64°
Answer:
The arc CD would be 114.6°
We use- sin x = opposite / hypotenuse
In the problem the opposite side of angle x = 36.7/2 and the hypotenuse = 21.8
So:
sin x = [36.7/2] / [21.8]
sin x = 18.35 / 21.8
sin x = 0.8417
x = arc sin (0.8417)
x = 57.32°
So the angle formed at the center by CD would have to be 2 x 57.32 = 114.64°
BUT, it says to round to the nearest tenth, so the answer would therefore, the arc CD is: 114.6°
Elena went 60 meters in 15 seconds. Noah went 50 meters in 10 seconds. Elena and Noah both moved at a constant speed. Who went faster?
Answers
Answer:
Noah went faster.
Step-by-step explanation:
Elena: 60 divided by 15 = 4
Noah: 50 divided by 10 = 5.
5 meters per second is greater than 4 meters per second, making Noah faster than Elena.