Answer:
f'(x) = 4 + 80x³
General Formulas and Concepts:
Calculus
The definition of a derivative is the slope of the tangent line.
We can take the derivative/distribute it over addition and subtraction.
Basic Power Rule:
f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹Step-by-step explanation:
Step 1: Define function
f(x) = 4x + 20x⁴
Step 2: Find 1st derivative
Basic Power Rule (1st term): f'(x) = 4 · 1x¹⁻¹ + 20x⁴Basic Power Rule (2nd term): f'(x) = 4 · 1x¹⁻¹ + 20 · 4x⁴⁻¹Simplify: f'(x) = 4 + 80x³1. Solve 2x < 10. Explain how to find the solution set. I need help with this question.
How do you simplify −7(2x−11)
Answer:
−7(2x−11)
use distributive property
-7(2x)-7(-11)
-14x+77
Answer:
-14x + 77
Step-by-step explanation:
-7(2x-11)
= -14x + 77
Find the distance between the points (-8, -8) and (16, -8)
Answer:
24
Step-by-step explanation:
Use the distance formula, d = sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}. Using this you then get 24.
whats 2+2 brainliest
Answer:
4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
HELP PLEASE IM BEGGING YOU
Which equation is a point slope form equation for line AB?
Oy-3=2(x - 2)
Oy-6=2(x - 5)
Oy-5=2(x - 6)
Oy+2=2(x+3)
Answer:
y-6=2(x-5)
I hope this is good enough:
1. A local pizzeria sold 70 pizzas yesterday.
(a) The owner offers the employees a bonus if the number of pizzas sold increases by 30% today. How many pizzas must the pizzeria sell for employees to receive the bonus?
2. A certain TV can be purchased from the manufacturer for $150. A certain online retailer has a standard markup of 30%, and a certain superstore has a standard markup of 40%.
(a) What is the price of the TV when purchased online?
(b) What is the price of the TV when purchased at the superstore?
3. You have saved $140 for a new pair of skis. They have a regular price of $189. They have been reduced by 30%. There is a 13% tax as well.
a. What is the discount?
b. What is the new price?
c. What is the tax?
d. What was the total price of the shoes, after the discount and tax?
e. Do you have enough money? Please explain in a complete sentence
Answer:
1. 91 = 70*1.30
2a. 195= 150*1.30
2b. 210 = 150*1.40
3a. 56.70 = 156* .30
3b. 132.30 = 156-56.70
3c. 17.20 = 132.30 *0.13
3d. 149.50 = 132.30+17.20
3e. You do not have enough money, because you need $9.50 more.
Step-by-step explanation:
good luck
Question 1:
70 x 1.30 is 91 - 70 is equal to 21 pizzas, they would have to sell 91 total pizzas, which is 21 more than what was sold the previous day
Question 2:
Both parts are solved below:
Step-by-step explanation:
Given:
Purchase price = 150
Part A
As the online trailer marks up 30% so the price would be:
= 150 + 30% of 150
=150 + 0.3(150)
= 150 + 45
Price online= $195
° ♡ ₒ ♡ °
Part B
As the superstore marks up the price by 40% so the price would be:
= 150 + 40% of 150
=150 + 0.4(150)
= 150 + 60
Price at superstore = $210
° ♡ ₒ ♡ °
Difference
Difference = price at superstore - price online
Difference = 210 - 195
Difference = $15
Difference in markup = 40% - 30% = 10%
So a 10% difference leads to the difference of $15 in price.
Given: TriangleSTU with Line segment S T is parallel to line segment X Y Prove: StartFraction S X Over X U EndFraction = StartFraction T Y Over Y U EndFraction Triangle S T U is cut by line segment X Y. Line segment X Y goes from side U S to side U T. Angle U Y X is 1, angle Y X U is 3, angle U T S is 2, and angle T S U is 4. Complete the steps of the proof. ♣: ♦:
Answer:
1:C Triangle STU is similar to triangle XYU
2:B subtraction property
Step-by-step explanation:
i just did the test
Applying the AA similarity theorem, the missing parts of the proof are:
Triangle STU is similar to triangle XYUSubtraction property What is the AA Similarity Theorem?According to the AA similarity theorem, if two triangles have two corresponding congruent angles, then both triangles are similar.
In the proof given, triangles STU and XYU have two pairs of corresponding angles that are congruent, therefore, triangle STU is similar to triangle XYU by AA similarity theorem.
Also, subtraction property was applied in the proof. Thus, the missing parts of the proof are:
Triangle STU is similar to triangle XYUSubtraction propertyLearn more about the AA similarity theorem on:
https://brainly.com/question/21247688
#SPJ9
Describe 3 types of maps
Answer:
population-amount of people per sq ft
climate- the average climate in that are
physical- elevation, landmarks,
Step-by-step explanation:
Factor by Grouping
2y2 + 7yz + 5z2
Could you form a triangle either side lengths of 1 inch 2 inch and 3 inch
Answer:
no
Step-by-step explanation:
No, a triangle cannot be constructed with sides of 2 in., 3 in., and 6 in. For three line segments to be able to form any triangle you must be able to take any two sides, add their length and this sum be greater than the remaining side.
Find the general solution of the given system. Use a computer system or graphing calculator to construct a direction field and typical solution curves for the system
Answer:
hello your question is incomplete attached below is the complete question and solution
answer : general solution ( X ) = [tex]C_{1} e^{3t} \left \{ {{1} \atop {-1}} \right. + C_{2} e^{3t} \left \{ {{1} \atop {-1}} \right.[/tex]
Step-by-step explanation:
attached below is the detailed solution to determine the general solution of the given system
general solution ( X ) = [tex]C_{1} e^{3t} \left \{ {{1} \atop {-1}} \right. + C_{2} e^{3t} \left \{ {{1} \atop {-1}} \right.[/tex]
Which of the following equations could be used to solve the given equation?
9x + 26 + 7x - 17 = 2x + (-3x) + 5x
16x + 9 = 4x
16x + 11 = 4x
16x + 9 = 0
Answer:
16x + 9 = 4x
Step-by-step explanation:
9x+7x+26-17=2x-3x+5x
16x+9=4x
Ashley can run 12 miles in 2 hours. At this rate, how many minutes does it take Ashley to run 1 mile?
Answer:
10 minutes
Step-by-step explanation:
If you divide both sides by 2 you get 6 miles and 1 hour.
Divide it again by 2 and you get 3 miles and 30 minutes.
Divide that by 3 and you get 1 mile in 10 minutes.
Anyone???
Mathematics
The price of one share of a stock fell 4 dollars each day for 8 days. How much value did one share of the stock lose after 8 days?
Answer:
After 8 days, the stock lost 32 dollars.
Step-by-step explanation:
If 4 dollars fell every day for 8 days, it would be 32 dollars because 4*8 is 32.
Find the amount that results from investing $5000 at 3% compounded continuously for 5 years. Round your
answer to two decimal places.
Answer:
The amount that results from investing $5000 at 3% compounded continuously for 5 years is $5800
Step-by-step explanation:
We are given:
Principal Amount (P) = $5000
Years (t) = 5
Rate (r) = 3% or 0.03
We need to find New Amount (A)
The formula used is: [tex]A=P(1+\frac{r}{n})^{nt}[/tex]
Since amount is compounded continuously so n=1
Putting values and finding A
[tex]A=P(1+\frac{r}{n})^{nt}\\A=5000(1+\frac{0.03}{1})^{1*5}\\A=5000(1+0.03)^5\\A=5000(1.03)^5\\A=5000(1.16)\\A=5800[/tex]
So, New Amount (A) = $5800
The amount that results from investing $5000 at 3% compounded continuously for 5 years is $5800
Log2(x-3)+log2x-log2(x+2)=2
We are given the equation:
log₂(x-3) + log₂x - log₂(x+2) = 2
When is it defined:
in this equation, log₂(x-3) and log₂(x+2) can only be defined when
x-3 >0 and x+2 > 0
solving for the values of x, we get:
x > 3 and x > -2
which basically means x > 3
Because we are looking for an inequality which is true for both x>-2 and x>3
Hence, x will have a value greater than 3
Solving for x:
using the product rule [logₐb + logₐc = logₐ(bc)]
log₂[(x-3)(x)] - log₂(x+2) = 2
using the quotient rule [logₐb - logₐc = logₐ(b/c)]
log₂[(x-3)(x) / (x+2)] = 2
from the property [ aˣ = b ⇒ logₐb = x]
(x² - 3x) / (x+2) = 2²
x² - 3x = 4x + 8
x² - 7x - 8 = 0
x² + x - 8x - 8 = 0
x(x+1) - 8(x+1) = 0
(x-8)(x+1) = 0
(x-8) = 0 OR (x+1) = 0
x = 8 OR x = -1
We know that the equation is defined only for x > 3
We can see that x = 8 satisfies that inequality
Therefore, x = 8
0.34 percent and decimal
Answer:
0.0034
Step-by-step explanation:
You are given $90 for lunches for a month. You spend some of the money the
first day and you spend $23 the second day. If you have $59 for the rest of the
month to spend on lunch, how much did you spend the first day?
Answer: 8 dollars
Step-by
(04.02 LC) The graph below shows the numbers of cups of apple juice that are mixed with different numbers of cups of lemon-lime soda to make servings of apple soda: What is the ratio of the number of cups of apple juice to the number of cups of lemon-lime soda? (5 points)
Answer:
Ratio of the number of cups of apple juice to the number of cups of lemon lime soda is 6 : 1
Step-by-step explanation:
From the graph attached,
Number of cups of apple juice (A) is proportional to the number of cups of lemon lime soda (L).
A ∝ L
A = kL
Here 'k' is the proportionality constant.
k = [tex]\frac{A}{L}[/tex]
= [tex]\frac{6}{1}[/tex]
Therefore, ratio of the number of cups of apple juice to the number of cups of lemon lime soda is 6 : 1.
I neeed help plz 30 points
Quadrilateral NATS has coordinates N(-4, -3), A(1, 2), T(8, 1), and S(3, -4). Prove that quadrilateral NATS is a rhombus. Give your statement with the equal distances. Remember to identify the sides.
Answer:
Step-by-step explanation:
NA = √[(- 4 - 1 )² + (- 3 - 2)²] = 5√2
AT = √[(8 - 1 )² + (1 - 2)²] = 5√2
TS = √[(3 - 8 )² + (- 4 - 1)²] = 5√2
NS = √[(- 4 - 3 )² + (- 3 + 4)²] = 5√2
NA = AT = TS = NS = 5√2
[tex]m_{NA}[/tex] = (- 3 - 2) / (- 4 - 1) = 1 ........ (1)
[tex]m_{TS}[/tex] = (- 4 - 1) / (3 - 8 ) = 1 ......... (2)
From (1) and (2) ⇒ NA║TS
[tex]m_{AT}[/tex] = ( 1 - 2) / ( 8 - 1) = - 1 / 7 .......... (3)
[tex]m_{NS}[/tex] = ( - 4 + 3) / ( 3 + 4) = - 1 / 7 .... (4)
From (3) and (4) ⇒ AT║NS
Thus, NATS is rhombus.
Find all solutions to the system:
5x-3y=2,
15x+6y=6
Answer:
2/5 0
Step-by-step explanation:
Simplify (6x ^ 2 + 11x - 3) + (2x ^ 2 - 17x - 4) . (1 point)
1 ) 8x ^ 2 + 6x - 1
2) 8x ^ 2 - 6x - 7
3 ) 8x ^ 2 + 6x + 1
4 ) 8x ^ 2 - 6x + 7
Answer:
2) 8x^2 -6x-7 hope this helps
Turkey A: $10.35 for a 15lb
Turkey B: $11.80 for 20lb
Turkey C: $9.48 for 12lb
Determine which turkey would be best for you to buy. Find the unit price of each, then pick a turkey and explain why you choose that turkey.
light stand for knowledge in the poem
Answer:
light stand for knowledge in the poem
Step-by-step explanation:
What is the base in the expression 4 superscript 5?
A)4 B)5 C)9 D)20
Answer:
A)4
Step-by-step explanation:
Expression 4 superscript pt 5=4^5
Answer:
A
Step-by-step explanation:
168 students enrolled in a freshman-level chemistry class. By the end of the semester, 5 times the number of students passed as failed. Find the number of students who passed.
Answer:
33.6
Step-by-step explanation:
mrs. wilkerson cut some oranges into 20 equal pieces to be shared by 6 friends how many pieces did each person get and how mant pieces were left over
Answer:
Each friend would get 3 slices and there would be 2 slices left over.
Which represents a function? Edge 2020.
can someone help me plsssss :( 20 ᴘᴏɪɴᴛs !
a.) m = -1
b.) m = 0
c.) m = undefined
d.) m = 1/2
Answer (bolded part is slope):
a.) y = -x + 2 (slope = -1)
b.) y = -2 (slope = 0)
c.) x = 3 (slope = undefined)
d.) y = [tex]\frac{2}{3}[/tex]x + [tex]\frac{3}{2}[/tex] (slope = 2/3)
HELP PLS A carnival charges $2.50 per ride after an entrance fee.You paid a total of $22.50 after 6 rides.Find the total cost for 15 rides.
