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:
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.
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
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:
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
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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:
y= x/5 +3
a line perpendicular to this line would have a slope of
Answers
HURRY!! 8.1=8w- 17.5. Solve for w
Answers
Need explaining?
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.
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
Plz guys help I need help
Answers
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.
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
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
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 :)
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 |+||>|||
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
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]
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.
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)
Will give brainliest
What is the missing reason in step three?
A.SAS
B.SSS
C. Triangle sum theorem
D. CPCTC
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.
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 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
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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
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
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.
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
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:
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°