If you know about the power rule,
d/dw (2w² + 1) = 2 d/dw (w²) = 2 • 2w = 4w
If you have to use the limit definition of the derivative, let f(w) = 2w² + 1. Then
[tex]f'(w)=\displaystyle\lim_{h\to0}\frac{f(w+h)-f(w)}h[/tex]
[tex]f'(w)=\displaystyle\lim_{h\to0}\frac{(2(w+h)^2+1)-(2w^2+1)}h[/tex]
[tex]f'(w)=\displaystyle\lim_{h\to0}\frac{2(w^2+2wh+h^2)-2w^2}h[/tex]
[tex]f'(w)=\displaystyle\lim_{h\to0}\frac{4wh+2h^2}h[/tex]
[tex]f'(w)=\displaystyle\lim_{h\to0}(4w+2h)=\boxed{4w}[/tex]
which is not true about the solution to the equation? x+2.27=1.53
Answer:
x = - 0.74
Step-by-step explanation:
find the slope and y-intercept of the line in the equation 2y+x=-6 Show all work!
Slope=____ y-intercept=____
Solve the following systems of equations for x:
2x + 3y = 5
4x – 3y = 1
Answer:
b
Step-by-step explanation:
2x+3y=5 rearrange 2x=5-3y times all by 2 4x=10-6y
4x-3y=1 4x=1+3y
1+3y=10-6y 6y+3y=10-1 9y=9 y=1
4x-3(1)=1 4x=1+3 4x=4 x=1
Answer:
B
Step-by-step explanation:
2x+3y=5
(2×1)+(3×1)==5
2+3=5
(4×1)-(3×1)=1
4-3=1
Determine the solution of the equation 4y - 5= 7.
A) 4
B) 3
C)
Answer:
B) 3
Step-by-step explanation:
add 5 to both sides, 4x=12
divide both sides by 4, x=3
Answer:
The answer is B) 3
Step-by-step explanation:
You add 5 to 7 to move it from one side to the other
You should then have 4y=12
Then to solve for why you divide 12 by 4
You will get y=3
So your answer is 3
simplify and answer
step by step
See attachment for math work. I did number 3 only.
Michael’s bill at a restaurant was $46.32. He wants to leave a 17% tip. What will the new total be, including tip?
Answer:
$54.19
Step-by-step explanation:
Let |a| = 12 at an angle of 25° and |b| = 7 at an angle of 105°. What is the magnitude of a + b? Round to the nearest decimal.
12.8
14.9
15.4
17.3
Answer:
It is 15.4 on edge. C
Step-by-step explanation:
Your question: "Let |a| = 12 at an angle of 25° and |b| = 7 at an angle of 105°. What is the magnitude of a + b? Round to the nearest decimal."
Calculate the magnitude
The answer is 15.4
Help me with this it’s due tomorrow at 11 am
Answer:
I'm sorry i can't help with all of the math, I do know that the answer for the radius is 4 though.
Step-by-step explanation:
Can y'all please solve this.....will give brainliest ^_^
x=6,004/5.019=1.196
x=1.2
y=3.999/9.241=0.432=0.43
Answer:
1.20.43Step-by-step explanation:
[tex]x = \frac{\sqrt{36.05} }{5.019} \\ \\\sqrt{36.05}=6.00416\dots \\\\=\frac{6.00416\dots }{5.019}\\\\\mathrm{Divide\:the\:numbers:}\:\frac{6.00416\dots }{5.019}=1.19628\dots \\\\=1.19628\dots \\\\= 1.2[/tex]
[tex]y = \frac{\sqrt[3]{63.71}}{(3.04)^2} \\\\3.04^2=9.2416\\\\=\frac{\sqrt[3]{63.71}}{9.2416}\\\\\sqrt[3]{63.71}=3.99394\dots \\\\=\frac{3.99394\dots }{9.2416}\\\\\mathrm{Divide\:the\:numbers:}\:\frac{3.99394\dots }{9.2416}\\=0.43217\dots \\\\= 0.43[/tex]
In the system of equations below, I want to eliminate the variable y.
3x + 5y = 2
6x - 10y = -16
The first step to solving this system of equations is multiplying the first equation
by a number other than -1. Which number would that be?
The answer choices are..
-2
5
-5
2
0 -5
2.
Answer:
(x,y)=(-1,1)
Step-by-step explanation:
Given that,
3x + 5y = 2 .....(1)
6x - 10y = -16 ....(2)
Finding the value of x from equation (1).
[tex]x=\dfrac{2-5y}{3}[/tex]
Put the value of x in equation (2)
[tex]6(\dfrac{2-5y}{3}) - 10y = -16\\\\2(2-5y)-10y=-16\\\\4-10y-10y=-16\\\\-20y=-16-4\\\\y=1[/tex]
Put the value of y in equation (1) :
[tex]3x + 5(1) = 2\\\\3x=2-5\\\\3x=-3\\\\x=-1[/tex]
So, the solution of the equations is (-1,1).
You are the president of an interior design company. You pay a part-time designer
$200 per week, plus $25 for each completed design. Write an equation to represent this
situation. Use this equation to determine how many completed designs you can have per
week if your weekly design budget is $800?
Answer: 24
Step-by-step explanation:
Okay, so if the part-time designer gets 200 dollars per week, we should subtract 200 by 800.
800 - 200 = 600.
Then we divide 600 by 25, and that will be the amount of completed designs we'll be able to have each week.
600 ÷ 25 = 24.
So in conclusion, you can pay the designer $200 per week and get 24 completed designs from him.
Hope this helps!
At the beginning of the year, Alyssa had $100 in savings and saved an additional $7
each week thereafter. Colton started the year with $55 and saved $10 every week. Let
A represent the amount of money Alyssa has saved t weeks after the beginning of the year and let C represent the amount of money Colton has saved t weeks after the
beginning of the year. Write an equation for each situation, in terms of t, and determine the famount of money Alyssa and Colton have saved in the week that they have the same amount of money saved.
Answer:
A = 7t + 100 and C = 10t+55 are the equations for each situation and they both will have an amount of $205 after 15 weeks.
Step-by-step explanation:
Given that:
Alyssa started savings with $100
Saved amount each week = $7
A = Amount of money Alyssa have
t = number of weeks
A = 7t + 100
Colton started savings with $55
Saved amount each week = $10
C = 10t + 55
For same amount;
A = C
7t+100 = 10t+55
100-55=10t-7t
45=3t
3t=45
Dividing both sides by 3
[tex]\frac{3t}{3}=\frac{45}{3}\\t=15[/tex]
Putting t=15 in Alyssa's equation
A = 7(15)+100
A = 105+100 = $205
Hence,
A = 7t + 100 and C = 10t+55 are the equations for each situation and they both will have an amount of $205 after 15 weeks.
Which equation represents the line that passes through the points (–3, 7) and (9, –1)? y = negative two-thirds x + 5 y = negative two-thirds x minus 7 y = two-thirds x minus 7 y = two-thirds x + 5 Mark this and return
Answer:
y equals, 2 x minus 5 in the x y-plane is a line with slope 2 and a y-intercept
Step-by-step explanation:
Answer:
y=2/3+5
Step-by-step explanation:D
If p(x) = 5(x² + 1) + 16, what is value of p(11)?
Answer: The answer is 626
Step-by-step explanation:
Substitute 11 for x, you get 626.
The monthly salry of Mr jha is Rs 165000.he spends his income in every month in the following ways food 20 percent house rent 25 percent fuel 10 percent miscellaneous 15 percent find his monthly expenditure on each item. how much does he save every month
Answer:
Total monthly expenditure = Rs 115,500
Total savings = Rs 49,500
Step-by-step explanation:
Total salary = Rs 165000.
Food = 20%
= 20/100 × Rs 165,000
= 0.2 × 165,000
= Rs 33,000
House rent = 25%
= 25/100 × Rs 165,000
= 0.25 × 165,000
= Rs 41,250
Fuel = 10%
= 10/100 × Rs 165,000
= 0.1 × 165,000
= Rs 16,500
Miscellaneous = 15%
= 15/100 × Rs 165,000
= 0.15 × 165,000
= Rs 24,750
Total monthly expenditure = food + house rent + fuel + miscellaneous
= Rs 33,000 + Rs 41,250 + Rs 16,500 + Rs 24,750
= Rs 115,500
Total monthly expenditure = Rs 115,500
Total savings = Total salary - Total expenditure
= Rs 165,000 - Rs 115,500
= Rs 49,500
Total savings = Rs 49,500
Can someone help me with this question? Will give brainliest :) (valid answers only or you’ll be reported)
Answer:
...
Step-by-step explanation:
4x – 2y = 14
z = 2y - 1
Answer: x
=
7
y
z
+
1
2
y
+
−
1
4
Step-by-step explanation:
Which set of rational numbers are ordered from least to greatest?
-3
- 2
-1 0
1
2
3
0-1-13.-14.-13
0-1,-1,-1,-1
0 -1,-11/11 - 11/20 - 11
0-13-13-13-1
Help!!
Answer:
B) -1 7/8, -1 1/2, -1 1/4, -1
Step-by-step explanation
If you were to roll the dice one time what is the probability it will NOT land on a 2?
Answer:
5 / 6
Step-by-step explanation:
Given that:
Probability that a dice rolled once will not land on 2
Probability = required outcome / Total possible outcomes
Total possible outcomes = (1, 2, 3, 4, 5, 6)
Required outcome = 2
P(not land on 2) = 1 - p(land on 2)
P(land on 2) = 1/6
P(not land on 2) = 1 - 1/6
P(not land on 2) = 5/6
what is the cost of the item that would make these discount equivalent?
Discount:
30% off $22.50 off
Answer:
$15.75
Step-by-step explanation:
Turn the percentage into a decimal.
30% = 0.3
Multiply.
22.5 * 0.3 = 6.75
Subtract.
22.5 - 6.75 = 15.75
Best of Luck!
Can you find the slope and type the correct code?
Answer:
1. (3,19) and (-1,-13)
to find the slope you need to do [tex]\frac{y2-y1}{x2-x1}[/tex]
Hence [tex]\frac{-13-19}{-1-3}[/tex]= 32/-4=-8
2. Take two points on the graph:
(-2,3) and (1,0)
Know that to calculate the slope you do
[tex]\frac{rise}{run}[/tex]= 4/2= 2
3. To find the slope in a table you need to choose any two points and utilize the following formula: [tex]\frac{y2-y1}{x2-x1}[/tex]= [tex]\frac{-16-(-8)}{2-1}[/tex]=-8/1= -8
4. Like in #1 we take the two points and plug it into the formula:
[tex]\frac{8-(-10)}{0-9}[/tex]=18/-9= -2
Please rate positively and give brainlist!
Step-by-step explanation:
Help Please! 50 points!
Answer:
The answer is:
Quotient: 6x^5+12x^4+17x^3+34x^2+71x+142+291/x−2
Remainder: 291
Step-by-step explanation:
I hope this helps. :)
Can you mark this as Brainliest.
Answer: The answer is:
Quotient: 6x^5+12x^4+17x^3+34x^2+71x+142+291/x−2
Remainder: 291
Step-by-step explanation:
I hope this helps. -.-
Step-by-step explanation:
Find the value of r so the line that passes through the pair of points (-4, 8) and (r, 12) has the slope 4/3
.
Answer:
-1
Step-by-step explanation:
4 / (4/3) gives us three, which when added to -4 results in -1
(3 + 6)2 + ((17 + 8) - 42)
Answer:
1 I think.
Step-by-step explanation:
Answer: 1
Step-by-step explanation:
Given Equation
(3 + 6)2 + ((17 + 8) - 42)
We will simplify to get the answer.
[tex]= (9)[/tex] × [tex](2) + 17 + 8 - 42[/tex]
= [tex]18+17+8-42[/tex]
= [tex]18 + 25 - 42[/tex]
= [tex]18 + -17[/tex]
= 1
The answer to the question is 1.
. Rama subtracted 7 from thrice the number of marbles she has, and she gets the result as 20.
Complete question :
Rama subtracted 7 from thrice the number of marbles she has, and she gets the result as 20. Find the number of marbles she has
Answer:
9 marbles
Step-by-step explanation:
Let The number of marbles she has = x
3 times the total - 7 = 20
That is ;
3x - 7 = 20
3x = 20 + 7
3x = 27
x = 27/3
x = 9
Number of marbles she has = 9
Please help me im very depressed and im struggling a lot on my math and i really need some answers
Which sequence shows the numbers in order from least to greatest?
Answer:
C
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
-2.45 times 10 squared is -245 while square root of 93 is 9.643650761 so 6.387 is the smallest then square root of 93 then -2.45 times 10 squared.
12. A bag contains a total of
100 black and white marbles.
Without looking a marble is
chosen, recorded, and placed
back in the bag. The student
records 8 black marbles and 2
white marbles. Predict the
number of black marbles in
the bag.
Answer:
The answer would be 80 black marbles.
Step-by-step explanation:
The student chose 10 marbles. 8 of those were black. There are 100 marbles total. Going at this rate, picking 10 at a time, 10x10 is 100. So we would do this 10 times. 8x10 is 80. 2x10 is 20. There are 80 black marbles.
Dose y = 7.2x represent a proportional relationship, if so identify the constant of proportionality. If not, explain why not.
Answer:
Yes it does
The constant of proportionality is 7.2
Step-by-step explanation:
Here, we are to determine if the expression represents a proportionality relationship
From the question, we can see that this is so
If we placed x beneath y, we will have
y/x = 7.2
So therefore the ratio between the two is 7.2 and thus, the equation represents a proportional relationship
for f(x) =4x+1 g(x)=x²-5, find (f•g)(x)
Answer:
(f · g)(x) = 4x³ + x² - 20x - 5
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Combining Like TermsExpand by FOIL (First Outside Inside Last)Step-by-step explanation:
Step 1: Define
f(x) = 4x + 1
g(x) = x² - 5
(f · g)(x) is f(x)g(x)
Step 2: Find (f · g)(x)
Substitute: (f · g)(x) = (4x + 1)(x² - 5)Expand [FOIL]: (f · g)(x) = 4x³ - 20x + x² - 5Combine like terms: (f · g)(x) = 4x³ + x² - 20x - 5We know that,
[tex] \Large \underline{\boxed{\sf{ (f . g)(x) = f(x) \times g(x) }}}[/tex]
By substituting values :
[tex] \sf : \implies (f . g)(x) = (4x+1) \times (x^{2} -5)[/tex]
[tex] \sf : \implies (f . g)(x) = 4x(x^{2} -5) +1(x^{2} -5)[/tex]
[tex] \sf : \implies (f . g)(x) = 4x^{3} - 20x + x^{2} -5[/tex]
[tex] \sf : \implies (f . g)(x) = 4x^{3} + x^{2} - 20x -5[/tex]
Hence, answer is :
[tex]\underline{\boxed{\sf{(f . g)(x) = 4x^{3} + x^{2} - 20x - 5}}}[/tex]
Solve this please and explain how you do it thank you
Answer:
Step-by-step explanation:
7x=14
X=2
