Answers
9514 1404 393
Answer:
4) 6x
5) 2x +3
Step-by-step explanation:
We can work both these problems at once by finding an applicable rule.
[tex]\text{For $f(x)=ax^n$}\\\\\lim\limits_{h\to 0}\dfrac{f(x+h)-f(x)}{h}=\lim\limits_{h\to 0}\dfrac{a(x+h)^n-ax^n}{h}\\\\=\lim\limits_{h\to 0}\dfrac{ax^n+anx^{n-1}h+O(h^2)-ax^n}{h}=\boxed{anx^{n-1}}[/tex]
where O(h²) is the series of terms involving h² and higher powers. When divided by h, each term has h as a multiplier, so the series sums to zero when h approaches zero. Of course, if n < 2, there are no O(h²) terms in the expansion, so that can be ignored.
This can be referred to as the power rule.
Note that for the quadratic f(x) = ax^2 +bx +c, the limit of the sum is the sum of the limits, so this applies to the terms individually:
lim[h→0](f(x+h)-f(x))/h = 2ax +b
__
4. The gradient of 3x^2 is 3(2)x^(2-1) = 6x.
5. The gradient of x^2 +3x +1 is 2x +3.
__
If you need to "show work" for these problems individually, use the appropriate values for 'a' and 'n' in the above derivation of the power rule.
Related Questions
will mark brainiest
Answers
Answer:
I am sure the answer is 36
Step-by-step explanation:
i need help this too help me and thank you and thank you
Answers
mary has 200ml of hand sanitizer that is 15% alcohol she mixes it with 200ml of a hand sanitizer that is x% alcohol how many ml is in the first hand sanitizer?
Answers
Answer:
30ml
Step-by-step explanation:
200ml * 15%
200ml * 0.15
= 30
There are 30 ml in the 1st hand sanitizer
Answer:
30 m l
Step-by-step explanation:
15%=0.15
200 divided by 0.15 is 30.
So therefore,
the answer is 30 ml.
It takes 900 pounds of steel to make one steel beam. How many beams can be made from 6,300 pounds of steel?
Answers
Answer:
7
Step-by-step explanation:
6,300 divide by 900 would equal 7
Answer:
7 beams
Step-by-step explanation:
To find how many beams can be made from steel, we have to find how many times 900 goes into 6,300. So our equation is:
6,300 ÷ 900 = 7
So you can make 7 beams out of 6,300 pounds of steel (and you won't have any steel left.)
What factors do 16 and 44 have in
common?
Answers
Answer:
1,2,4
Step-by-step explanation:
Factors for 16: 1, 2, 4, 8, and 16.
Factors for 44: 1, 2, 4, 11, 22, and 44.
Answer:
The greatest common factor 44 and 16 is 4.
Step-by-step explanation:
Write the equation of a line in slope intercept form of a line that has a slope of 5 and a y
intercept of -8.
Answers
Answer: y=5x-8
Step-by-step explanation: slope intercept form is y=mx+b. M stands for the slope and B stands for the y-intercept. You just need to input what the question is telling you.
what is the square root of 1024?
Answers
Answer:
square root of 1024 is 32
Answer:
32
Step-by-step explanation:
32 x 32 = 1024
AA two-story building measures 21 feet from the ground. A scale model shows the building to be 3 inches tall. How many inches would an 84 foot building be in the model?
Answers
Answer:
12 inches
Step-by-step explanation:
21 feet = 3 inches (in a model)
84 feet = 12 inches (in a model)
84 ÷ 21 = 4
3 × 4 = 12
Help me do 1/6+1/4 make sure the demonator is the same
Answers
______________________________
1.) Find the LCF of 6 and 4: [tex]6,4=12[/tex]
- We do this because in order to add these, they must have the same denominator. So you must find the LCF, (Least Common Factor) of 6 and 4.
2.) Convert the fractions to have the same denominator: [tex]\frac{1}{6}=\frac{2}{12}[/tex] [tex]\frac{1}{4}=\frac{3}{12}[/tex]
- [tex]\frac{1}{6}[/tex] changes to [tex]\frac{2}{12}[/tex] by multiplying the numerator and denominator by 2. And [tex]\frac{1}{4}[/tex] changes to [tex]\frac{3}{12}[/tex] because you multiply the numerator and denominator by 3.
3.) Add the numerators: [tex]2+3=5[/tex]
- Since both fractions have the same denominator all you have to do is add the numerators together.
______________________________
5z - 3 >7 or 4z -6< - 10
Answers
Answer:
4z -6< - 10= Z= < -1
5z - 3 >7= Z=< 2
Step-by-step explanation:
Can you please help? :)
Answers
Answer:
okay I also have no idea why why r busy and see
Answer:
i'm gonna say the answer is 16cm
Step-by-step explanation:
12/6 = 2
8/16 = 2
Evaluate 4(3x+6) when x = 15
Answers
Answer:
204
Step-by-step explanation:
4(3x+6)
Substitute the x with 15
4(3*15+6)
4( 45 + 6)
Distributive property
4*45 + 4*6
180 + 24
204
Hey there!
The answer to your question is [tex]204[/tex]
To evaluate this, we simply start by plugging the given x value, 15, into the expression, and then solve:
[tex]4[3(15) + 6][/tex] Plug in X
[tex]4(45 + 6)[/tex] Multiply
[tex]180 + 24[/tex] Distribute the 4
[tex]204[/tex] Add
Hope it helps and have a great day!
listed in the table is the percentage of students who choose each type of milk at lunchtime. use the table to determine the measure of the central angle you would draw to represent banana milk in a circle graph.
Answers
Answer:
i cant see the picture its blocked
Step-by-step explanation:
Please help math find the measure angle x in the figure below
Answers
Answer:
Mm I didn't get the picture
pls answer the question
Answers
We need to determine the midpoint of A and B
Midpoint of A and B:
The midpoint of A and B can be determined using the formula,
Substituting the points (2,7) and (6,3) in the above formula, we get;
Adding the numerator, we have;
Dividing the terms, we get;
Thus, the midpoint of the points A and B is (4,5)
Message me if you need anything else I’ll be happy to help.
A hiker hiked 25 feet below sea level write an integer to represent the situation
Answers
Answer:
قصدي لا انا اعرف بشير بس ما اعرف اخوه يعني *قصدي لا انا اعرف بشير بس ما اعرف اخوه يعني *قصدي لا انا اعرف بشير بس ما اعرف اخوه يعني *قصدي لا انا اعرف بشير بس ما اعرف اخوه يعني *قصدي لا انا اعرف بشير بس ما اعرف اخوه يعني *قصدي لا انا اعرف بشير بس ما اعرف اخوه يعني *قصدي لا انا اعرف بشير بس ما اعرف اخوه يعني *
rounding to tens to 68
Answers
Answer:
uhh 70
Step-by-step explanation:
While on vacation in Rockport, Shawn went out for a dinner that
cost $50. If sales tax in Rockport is 6% and Shawn left an 18%
tip on $50, what was the total cost of his meal?
Answers
Answer:
62
Step-by-step explanation:
Brandon says that the absolute value of a number and the opposite of a number is the same thing. Is Brandon correct? Use examples to help you explain.
Answers
Answer:
No, Brandon is not correct in making that statement
Step-by-step explanation:
No, Brandon is not correct in making that statement. The absolute value of a number is the total distance between that number and 0. Brandon most likely states this because the absolute value of a negative number such as -5 would actually be the opposite, which is 5. This is not true for the absolute value of a positive such as 5, which instead is actually just 5. Meaning that the absolute value of a positive integer is the same value and NOT the opposite.
- The new apartment you ałe about to sign a one-year lease on is $1,500 per month. The lease
requires you to put up first month's rent and a $750 security deposit to move in. In addition,
keeping your cat will cost an additional $300 for a pet deposit. How much do you need to write a
check for to the landlord at the time of move in?
Answers
Answer:
Total amount = $2550
Step-by-step explanation:
To move in the apartment payments to be done,
1). First month rent = $1500
2). Security deposit = $750
3). Pet deposit = $300
Total payment to be done = 1500 + 750 + 300
= $2550
Therefore, total amount to be paid = $2550
I will write a check of $2550.
How many Terminating Zeros are at the end of 631! when this number is multiplied out
Answers
Answer:
3 zeros
Step-by-step explanation:
Thus The factorial symbol is the exclamation mark !. like this
Using The factorial formula isIf n is a natural number greater than or equal to 1, then
n! = n x (n - 1) x (n - 2) x (n - 3) ... 3 x 2 x 1
When If n = 0, then n! = 1, by convention it. Thus, The factorial of 631 is calculated, through its definition, can we this way: 631! = 631 • 630 • 629 • 628 ... 3 • 2 • 1Learn more information:
https://brainly.com/question/15175651
Which of the following is closest to the solution to the problem below
(20 3/7) (14)
Answers
Answer:
i need more details then this its not really explaining anything
Step-by-step explanation:
help me hw stressing
Answers
26 people. There will be no ice cream left. 19.5/.75=26 people
Answer: Jasmine will have have 26 guests. No leftovers.
Step-by-step explanation:
If you are having troubles dividing fractions, try converting them into decimals, which is sometimes easier to solve.
ex: 19 1/2=19.5
3/4=.75
Evaluate 1/2t + 3/8 when t = 1/4
Answers
Answer:
the answer is seven - eighths i think
Step-by-step explanation:
Answer
1/2
Evaluate: Enter a number for each variable.
1/2t+3/8
Evaluate for t=1/4
1/2 (1/4)+3/8
1/2 (1/4)+3/8
=1/2 or (Decimal: 0.5)
In Brenna's rate of speed, 75 MPH, what is the second term of the rate (ratio)?
Answers
Answer: im doing this for points
Step-by-step explanation ok
I need help asap please
Answers
Answer:
56π
Step-by-step explanation:
1. Approach
To find the radius of a circle, use the formula;
[tex]A = r^{2}[/tex]π
To find the area of the shaded region, find the area of the larger circle, and then subtract the area of the smaller circle from it.
It is given that the larger circle has a radius of 9, and the smaller has a radius of 5.
2. Area of the larger circle
[tex]A = r^{2}[/tex]π
Substitute in known value (use 3.14 for π)
[tex]A = (9)^{2} * 3.14[/tex]
A = 254.47
3. Area of the smaller circle
[tex]A = r^{2}[/tex]π
Substitute in known value (use 3.14 for π)
[tex]A = (5)^{2} * 3.14[/tex]
A = 78.54
4. Area of the shaded region
Subtract the area of the smaller circle from the area of the larger circle;
254.47 - 78.54 = 175.93
~ 56π
I need help with this
Answers
Please help me find x
Answers
Answer:
x=13
Step-by-step explanation:
According to the question
3x+5x-14=90
8x-14=90
8x=90+14
8x=104
x=104/8
x=13
180 - 90 + 14 = 3x + 5x
104 = 8x
104/8 = x
x = 13
Checking:
3(13) + 90 + 5(13) - 14 = 180
180 = 180
So x=13
Help me please djdjdd
Answers
Answer:
-1 < x ≤ 3
Step-by-step explanation:
First, we need to simplify this inequality.
9 > -5x + 4 ≥ -11 (Given)
5 > -5x ≥ -15 (Subtract 4 on both sides)
-1 < x ≤ 3 (Divide -5 on both sides)
Note that the signs flip due to dividing by a negative number.
Answer:
[tex]-1<x\leq3[/tex]
Step-by-step explanation:
Let's take two equations from this and them put them back together! So:
9>-5x+4
and
[tex]-5x+4\geq -11[/tex]
For the first one:
9>-5x+4
Subtract 4 from both sides
5>-5x
Then divide by -5 (Remember to change the direction of the sign!):
-1<x
Now onto the second one:
[tex]-5x+4\geq -11[/tex]
Subtract 4 from both sides:a
[tex]-5x\geq -15[/tex]
Then divide by -5 (Remember to change the direction of the sign!):
[tex]x\leq 3[/tex]
Now add the equations back together:
[tex]-1<x\leq3[/tex]
Solve each compound inequality. Graph your solutions.
5 + m > 4 or 7m< -35
Answers
Answer:
Solving the inequality [tex]5 + m > 4\: or\: 7m< -35[/tex] we get [tex]\mathbf{m>-1\:or\: \:m<-5}[/tex]
The graph of the inequality is shown in figure attached.
Step-by-step explanation:
We need to Solve each compound inequality [tex]5 + m > 4\: or\: 7m< -35[/tex]
Solving the inequalities
For solving compound inequalities we solve both inequalities simultaneously and find the value of m.
For solving 5+m > 4, we subtract 5 from both sides.
While solving 7m < -35, we divide both sides by 7 to get value of m
Applying these functions we get:
[tex]5 + m > 4\: or\: 7m< -35\\m>4-5\:or\:m<\frac{-35}{7}\\m>-1\:or\:m<-5[/tex]
So, solving the inequality [tex]5 + m > 4\: or\: 7m< -35[/tex] we get [tex]\mathbf{m>-1\:or\: \:m<-5}[/tex]
The graph of the inequality is shown in figure attached.