Answers
Answer:
[tex]\frac{dy}{dx}[/tex] = 8(2x + 3)³
Step-by-step explanation:
Differentiate using the chain rule
Given
y = f(g(x)) , then
[tex]\frac{dy}{dx}[/tex] = f'(g(x)) × g'(x)
Here
f(x) = [tex](2x+3)^{4}[/tex] ⇒ f'(x) = 4(2x + 3)³
g(x) = 2x + 3 ⇒ g'(x) = 2
Thus
[tex]\frac{dy}{dx}[/tex] = 4(2x + 3)³ × 2
= 8(2x + 3)³
Related Questions
What is 5/4 simplified?
Answers
Answer: 1 1/4
Step-by-step explanation:5/4 is an improper fraction so it can not be simplify aymore but you can write it as a mixed number. 5/4 as an improper fraction is 1 1/4 .
Hope it helps :)
Which of there polynomials could have (x-2) as a factor?
a(x) = 6x² - 7x - 5
b(x) = 3x² + 15x - 42
c(x) = 2x³ + 13x² + 16x + 5
d(x) = 3x³ - 2x² - 15x + 14
e(x) = 8x⁴ - 41x³ - 18x² + 101x + 70
f(x) = x⁴ + 5x³ - 27x² - 101x - 70
Answers
Answer:
x-2 is a factor of following polynomials:
b(x) = 3x² + 15x - 42d(x) = 3x³ - 2x² - 15x + 14 e(x) = 8x⁴ - 41x³ - 18x² + 101x + 70Step-by-step explanation:
In order to check that which polynomials might have x-2 as a factor, we will put
x-2 = 0 => x = 2 in each polynomial, if the value of polynomial on 2 is zero then x-2 is a factor otherwise not.
So,
a(x) = 6x² - 7x - 5
Putting x = 2
[tex]a(2) = 6(2)^2-7(2)-5\\= 6(4)-14-5\\=24-14-5\\=24-19\\=5 \neq 0[/tex]
b(x) = 3x² + 15x - 42
[tex]b(2) = 3(2)^2 + 15(2) - 42\\=3(4)+30-42\\=12+30-42\\=42-42 = 0[/tex]
c(x) = 2x³ + 13x² + 16x + 5
[tex]c(2) = 2(2)^3 + 13(2)^2 + 16(2) + 5\\=2(8)+13(4)+32+5\\=16+52+32+5\\=105 \neq 0[/tex]
d(x) = 3x³ - 2x² - 15x + 14
[tex]d(2) = 3(2)^3 - 2(2)^2 - 15(2) + 14\\= 3(8)-2(4)-30+14\\=24-8-30+14\\=38-38 = 0[/tex]
e(x) = 8x⁴ - 41x³ - 18x² + 101x + 70
[tex]e(2) = 8(2)^4 - 41(2)^3 - 18(2)^2 + 101(2) + 70\\= 8(16)-41(8)-18(4)+202+70\\=128-328-72+202+70\\=0[/tex]
[tex]f(2) = (2)^4 + 5(2)^3 - 27(2)^2 - 101(2) - 70\\=16+5(8)-27(4)-202-70\\=16+40-108-202-70\\=-324 \neq 0[/tex]
Hence,
x-2 is a factor of following polynomials:
b(x) = 3x² + 15x - 42d(x) = 3x³ - 2x² - 15x + 14 e(x) = 8x⁴ - 41x³ - 18x² + 101x + 709c+1=10 i do not know the answer to this problem
Answers
Answer: To figure out the answer, you have to find c, c equals 0 because adding anything from 9 + 1 equaling 0 will get you above the answer, 10. so, 9c + 1 = 10, now lets change the equation to 9c(0) + 1 = 10, c equaling zero would make the most sense because if c equals 0 then you will get 10, the answer.
Step-by-step explanation:
Answer:
well depending on what they are asking the answer is either
C=1
or
true
Step-by-step explanation:
just accept it
Please explain the question.
Answers
Challenge #2 Press "Deal" to receive your cards. Drag cards from your hand to the red and blue areas. GOAL: Create two groups of cards with the SAME SUM using as many cards as possible.
Answers
Answer:
Can you explain what the press deal and recieve cards means?
Step-by-step explanation:
Who ever can answer questions 3,4, and 6 will get 30 pts
Answers
Answer:
See below.
Step-by-step explanation:
6.)
y - 2 = 3(x - 6)
y - 2 = 3x - 18
y = 3x - 16
4.)
y - (-2) = 3(x - 5)
y + 2 = 3x - 15
y = 3x - 17
3.)
y - 7 = 2(x - 4)
y - 7 = 2x - 8
y = 2x - 1
Please help . Thanks in advance
Answers
Answer:
15 inches.
Step-by-step explanation:
Since we know its a square, we know that the side lengths are all equal. Knowing this, we know that we could find the area by taking a side length and squaring it. So we can take the square root of 219 to find the side length:
√219 = 14.79864859 ≈ 15
Therefore, the side lengths of the sign are about 15 inches.
Find the missing angle
Answers
Answer:
56deg
Step-by-step explanation:
A triangle has 180deg.
180 = 68 + 56 + x >> add 68 and 56
180 = 124 + x >> subtract 124 from both sides
56 = x
The missing side is 56deg
a car start from rest and accelerates at the rate of 2m/s² for 5 seconds. it maintenance this velocity for another 5 seconds. it eventually undergoes a uniform deceleration and finally comes to rest after further 5 seconds.
A) draw the velocity-time graph for the journey
B) find the acceleration and deceleration respectively,
C) find the total distance travelled during each stage.
D) find the average velocity over the entire period
Answers
Answer:
2m/s² ; - 2m/s²
25m ; 50m ; 25m
6.67 m/s²
Step-by-step explanation:
The acceleration and deceleration :
Both rates are the Same from the graph ;
According to scenario described, acceleration = 2m/s²
Deceleration occurred in equal time interval = - 2m/s
Distance covered during each stage:
Stage 1 : area of triangle
0.5 * base * height
0.5 * 5 * 10 =25 m
Stage 2: area of rectangle :
Length * breadth = 5 * 10 = 50 m
Stage 3 : area of triangle
0.5 * base * height
0.5 * 5 * 10 =25 m
Average Velocity :
Total distance / time = (25 + 50 + 25) / 15 = 100/ 15 = 6. 67 m/s
-5=-10+
I don’t understand this can someone please help me with this?? Thank you
Answers
Answer:
im pretty sure its 5+
Step-by-step explanation:
Which of these is the longest time?? A)15000 seconds B) 1500 minutes C) 10 hours D) 1Day
Answers
Answer:
A)15000 seconds
Step-by-step explanation:
Select the true statement
solution: (0,0)
no solution
infinitely many solutions
Answers
Answer:
Infinitely many solutions
Step-by-step explanation:
Why is the percent increase from 45 to 75 not equal to the percent decrease from 75 to 45? Select three options.
Answers
Answer:
2. The ratio of the percent increase is not the same as the percent decrease.
3. The ratio for the percent increase has a smaller denominator than the percent decrease.
5. The original amount for the percent increase is different from the original amount for the percent decrease.
Step-by-step explanation:
if x+y=10 and x-y=6 what is this value of x cube - y cube
Answers
Answer:
x cubed minus y cubed is equal to 504
Step-by-step explanation:
First we need to know what the values of x and y are. We can do this pretty easily, by just solving both equations for x, and equating them to each other:
With the first:
x + y = 10
x = 10 - y
And with the other
x - y = 6
x = 6 + y
Now that we have two definitions of x, we can say that the expressions are equal, and solve for y:
10 - y = 6 + y
10 - 6 = y + y
4 = 2y
y = 2
And now that we know what y is, we can find x:
x = 10 - y
x = 10 - 2
x = 8
So x is equal to eight. We can check our answer by plugging x into the other equation and seeing if we get the same value for y:
x - y = 6
8 - y = 6
-y = 6 - 8
-y = -2
y = 2
So we know we solved that correctly.
Now if we cube each number, eight cubed is equal to 512, and 2 cubed is equal to 8. If we subtract the latter from the former we get 504.
so x cubed minus y cubed is equal to 504
Plot and connect the points A (2,-2), B(-4,-4), C (-4,-1), D (-2,3), E (1,3), F (2,5), and find the length of BC.
4 units
3 units
5 units
2 units
ASAP I NEED ASAP
Answers
Answer: 3 units
Step-by-step explanation B is 3 units away from C
simple
Elijah buys P pounds of bananas for 60 cents per pound. He pays the clerk with a twenty-dollar bill. The clerk subtracts the total cost of the bananas from the twenty dollar bill to determine the amount of change to give Elijah.
Answers
Answer: (20-0.6P)
Step-by-step explanation:
Given: Elijah buys P pounds of bananas for 60 cents per pound.
Since 1 dollar = 100 cents
Then, 60 cents = [tex]\$\dfrac{60}{100}=\$0.6[/tex]
Cost of P pounds of bananas = Cost per pound x P
= $0.6 P
He pays the clerk with a twenty-dollar bill.
Change he will get = $ 20 - Cost of P pounds of bananas
= $ (20-0.6P)
Hence, the expression of the change Elijah will get = (20-0.6P)
is 12/15 equivalent to 36/45
Answers
Answer:
YES
Step-by-step explanation:
Answer:Any positive improper fraction is larger than any positive proper fraction: ie: 44/25 > 1 > 19/ ie: - 44/25 < -1 < - 19/
Step-by-step explanation:
How many solutions does this system have?
y = 5 x minus 1. y = negative 3 x + 7.
no solutions
one unique solution
two solutions
an infinite number of solutions
Answers
Answer:
One
Step-by-step explanation:
There will be one unique solution of the equation y = 5x - 1 and y = 3x + 7. The correct option is B.
What is a system of equations?A finite collection of equations for which we searched for common solutions is referred to in mathematics as a system of equations, sometimes known as a set of simultaneous equations or an equation system. Similar to single equations, a system of equations can be categorized.
A linear equation can only have one unique solution, which is a location at which the LHS and RHS of the equation are equal. There is only ever one solution to a linear equation with one variable.
y = 5x - 1
y = 3x + 7
5x - 1 = 3x + 7
2x = 8
x = 4
y = 19
Therefore, there will be one unique solution of the equation y = 5x - 1 and y = 3x + 7.
To know more about the system of equations follow
https://brainly.com/question/25976025
#SPJ6
Write 1 ⅝ as a decimal.
Answers
Answer:
1.625.
Step-by-step explanation:
I need help plz respond fast!
Answers
Answer:
i believe the answer would be none of the above
plzzz help .Which point is included in the graph of the ceiling function f(x) = [x]?
Answers
Answer: Choice C. (-3.5, -3)
========================================================
Explanation:
Draw a vertical number line. Make sure to plot the points -3 and -4 on this number line. We'll have -4 below -3. In between these values is -3.5
The ceiling function brings the point -3.5 up to -3. Think of an elevator that visits each floor of a skyscraper. Each floor being a positive or negative whole number on this number line. So when x = -3.5, this means f(x) = -3. This points to choice C being the answer.
As another example, if x = 5.7, then f(x) = 6. Yet another example would be x = 2.008 leads to f(x) = 3. We always move up to the closest integer.
What is the sequence of the n^"th" term equation f(n) = -3n +7 for n 1
Answers
Answer:
The sequence of the given equation
4 , 1, -2 , -5, ......
∴ The given sequence is in Arithmetic progression ( A.P)
Step-by-step explanation:
Step(i):-
Given [tex]n^{th}[/tex] term of thesequence
f (n) = - 3n + 7
Put n = 1
first term a₁ = f (1 ) = - 3 (1 ) + 7 = - 3 + 7 = 4
Put n = 2
second term a₂ = f(2) = - 3 ( 2) + 7 = -6 +7 =1
Put n =3
Third term a₃ = f(3) = -3(3) +7 = -9 + 7 = -2
Put n =4
Fourth term a₄ = f(4) = -3(4) +7 = -12 + 7 = -5
Step(ii):-
The sequence of the given equation
4 , 1, -2 , -5, ......
first term a = 4 , d = 1 -4 = -3
The difference of two terms in this sequence is equal
∴ The given sequence is in Arithmetic progression ( A.P)
Final answer:-
The sequence of the given equation
4 , 1, -2 , -5, ......
∴ The given sequence is in Arithmetic progression ( A.P)
12 divided by 12 x 34 x 5
Answers
Answer:
1/170
Step-by-step explanation:
divide 12 by 2040
Answer:
.005
Step-by-step explanation:
12*34=408
408*5=2040
12/2040=.005
Hope this helps!
Work out 130% of 70 - 170% of 30
Answers
Answer:
[tex](130\% \times 70) - (170\% \times 30) \\ = ( \frac{130}{100} \times 70) - ( \frac{170}{100} \times 30) \\ = (91) - (51) \\ = 40[/tex]
Simplify each expression and match it with the equivalent value.
Answers
Answer:
D, E, C, A
Step-by-step explanation:
Labelling the 5 top values as A, B, C, D, E
How many right angles are in this shape.
Answers
Answer:
B:3
Step-by-step explanation:
The freezing point of a certain liquid is -7F . Another liquid freezes at -12F . What is the difference between the absolute values of each freezing point?
Answers
Answer:
Step-by-step explanation:
5
Please help on 4 5 and 6 both parts. Due in 30 min
Answers
Of the 15 DVDs, 3/5 were comedies. How many movies were comedies
Answers
Answer:
9 comedies
Step-by-step explanation:
(3/5) * 15 = 9
What are the answer for these questions?
Answers
1. Yes
2. -1
3. 4/3
4. y=4/3x-1
Answer:
I dont know the first one I'm sorry
Y- intercept is -1
The slope is: 4/3
The slope intercept equation for the table is: y=4/3x-1
