Answers
Answer:
-3x²-5xeˣ-eˣ
-3eˣx²-11eˣx-6eˣ
Step-by-step explanation:
I'm going to go by the picture and not what you wrote in your title.
To find the derivative of this we have to apply the product rule
(a*b)'=
a'*b+a*b'
We plug in our numbers and get
(-3x²+x-2)'*eˣ+(-3x²+x-2)*eˣ'
Now we can evaluate the derivatives and simplify
(-3x²+x-2)'= -6x+1
eˣ'=eˣ
which means we have
(-6x+1)*eˣ+(-3x²+x-2)*eˣ
Simplify
-6xeˣ+eˣ-3x²eˣ+xeˣ-2eˣ
Combine like terms
-3x²eˣ-5xeˣ-eˣ
Now we just need to find the derivative of this
We can apply the same product rule as we did before
(-3x²eˣ)'
Let's start by factoring out the -3 to get
-3(x²eˣ)'
which is equal to
-3(x²eˣ'+x²'eˣ)
Compute this and get
-3(x²eˣ+2xeˣ)= -3x²eˣ-6xeˣ
Now let's find the derivative of the second part
(-5xeˣ)'
-5(x'eˣ+xeˣ')
-5(eˣ+xeˣ)
-5eˣ-5xeˣ
Which means we have
(-3x²eˣ-6xeˣ)+(-5eˣ-5xeˣ)-eˣ
Combine like terms and get
-3eˣx²-11eˣx-6eˣ
Related Questions
Use the graph to write a linear function that relates y to x.
The linear function is y=?
Answers
Answer:
identify the value that is intercepting y-axis !!
Step-by-step explanation:
in this case it is 1
Which pair of ratios forms a proportion?
A 7 15
10 18
B 5 15
9 27
C 3 15
10 25
Answers
The statement "one-eighth the age, a" can be expressed algebraically as ?
Answers
Answer:
1/8a
Step-by-step explanation:
Which statement describes the graph
Answers
Answer:
Your answer is A
Step-by-step explanation:
I hope I helped :)
Which of the following linear equations below is equivalent to 10x−5y=−15?
a. y = 3x + 2
b. y = 2x + 3
c. y = 3x - 2
d. y = 2x - 3
Answers
Answers:
B. y = 2x + 3
hope this helps
a truck just left the weigh station on interstate 40. it weighted 6 tons 500 pounds and had a load of 1,200 pounds. How much would the transfer truck alone weigh?
Answers
Answer:
The weight limit on the bridge is75,500 pounds. ... In pounds, how much cargo can the truck carry and still be ... Helllppp pleaseeee A rancher has a three sided plot of ..
Hello, please help.
Find the value of x:
x^2 + 3x^3 - 2x + 9 = 24 + 54x + 92x^2 - 2x^3
Answers
Answer:
-91x² + 5x³ - 56x -15 = 0
Step-by-step explanation:
x² + 3x³ - 2x + 9 = 24 + 54x + 92x² - 2x³
x² + 3x³ - 2x + 9 - 92x² = 24 + 54x + 92x² - 2x³ - 92x²
-91x² + 3x³ - 2x + 9 + 2x³ = 24 + 54x -2x³ + 2x³
-91x² + 5x³ - 2x + 9 - 54x = 24 + 54x - 54x
-91x² + 5x³ - 56x + 9 - 24 = 24 - 24
-91x² + 5x³ - 56x -15 = 0
Hope this helps!
Maybe brainliest?
Convert 199º to radians. Round to 2 decimal places.
Answers
Answer:
3.47
Step-by-step explanation:
Answer: 199π/180
Step-by-step explanation:
The formula for converting degrees to radians is [tex]x[/tex]°·[tex]\frac{\pi }{180}[/tex]
In this case, that gives you [tex]\frac{199\pi }{180}[/tex]. 199 is a prime number, so this can't be simplified down any further.
Also, the formula for converting radians to degrees is just the opposite: you multiply your radian measure by [tex]\frac{180}{\pi }[/tex] to cancel out pi.
Hope this helps :)
Factorise 12x^2 + 8x^3
Answers
Answer:
The answer is 4x^2 (3+ 2x)
Step-by-step explanation:
Factor 4 x ^2 out of 12 x ^2 + 8 x ^3 .
hoped this helped!
brainly, please?
Find both the area and the perimeter of the semi circle
Answers
Answer/Step-by-step explanation:
Area of a semicircle = ½πr²
Perimeter of a semicircle = πr + d
7. d = 14 m
r = ½ of d = 7 m
Area = ½*π*7² = ½*π*49
✅Area = 76.97 m² (nearest hundredth)
Perimeter = π*7 + 14
✅Perimeter = 35.99 m (nearest hundredth)
8. d = 35 in.
r = ½ of d = 17.5 in.
Area = ½*π*17.5² = ½*π*306.25
✅Area = 481.06 in.² (nearest hundredth)
Perimeter = π*17.5 + 35
✅Perimeter = 89.98 in (nearest hundredth)
What's the slope of -x+2y=5
Answers
Answer:
Slope = (1/2)
Step-by-step explanation:
Rearrange the equation into the y = mx + b format.
-x + 2y = 5
2y = x + 5
y = (1/2)x + (5/2)
m represents slope, which is (1/2) in this question.
Solving systems of equations mastery test
Answers
Answer:
Is there a question?
Step-by-step explanation:
A car dealership decreased the price of a certain car by 14%. The original price was $48,200.
(a) Fill in the blank to write the new price in terms of the original price.
Write your answer as a decimal.
New price = { x Original price
(b) Use your answer in part (a) to determine the new price.
New price: $0
Answers
Answer:
a) New price = 0.86 * Original price
b) New price = 0.86 * 48200 = $41452
Step-by-step explanation:
Classify the following polynomials by the number of terms and degrees
-2x^3 +5x
Answers
Answer:
A third degree binomial
Step-by-step explanation:
The highest power is 3 hence the 3rd degree
and there are 2 terms hence the bi-nomial
0.3 - 0.04 = i need it ASAP
Answers
Is AABC-ADEF? If so, identify the similarity postulate or theorem that applies 30- A
Answers
Answer:
C. Similar - AA
Step-by-step explanation:
From the diagram given, we know that all 3 angles of ∆ABC are congruent to all corresponding 3 angles of ∆DEF.
If we know just two of the angles of the two triangles given are equal to each other, it is enough information for us to prove that they are similar to each other based on the AA Similarity theorem.
The corresponding three angels of both triangles are equal, therefore, based on AA, they are similar to each other.
TIMED QUESTION HELP FAST
Answers
Answer:
D
Step-by-step explanation:
A and B cannot be the right answers, because the left part of the graph is inclusive (so the right answer has to include [tex]x\leq 1[/tex] instead of [tex]x<1[/tex]).
C can also not be the right answer, because for [tex]x=0[/tex], [tex]y=-1[/tex] instead of [tex]2(0)^2 = 0[/tex].
So D is the correct answer by elimination.
1. A refrigerator originally cost $795 refrigerator but it is currently on sale with a 20% discount. The sales tax is
9.75%. What is the final sale price after the discount and tax?
Answers
Answer:
1630.77
Step-by-step explanation:
795 * 20% = 159
159 divided 9.75% equals 1630.77
hope this helps :)
Security A rounds every 2 minutes and 20 seconds in the gate 1. Security B rounds every 1 minute and 40 seconds in the gate 2. If they conduct rounds at the same time. After how many minutes they will rounds together again?
Answers
Answer:
[tex]Time = 11\frac{2}{3}\ min[/tex]
Step-by-step explanation:
Given
[tex]Security\ A = 2\ mins, 20\ secs[/tex]
[tex]Security\ B = 1\ mins, 40\ secs[/tex]
Required
After how many minutes, will they round together
First, convert the given time to minutes
[tex]Security\ A = 2\ mins, 20\ secs[/tex]
[tex]Security\ A = 2\ mins+ 20\ secs[/tex]
[tex]Security\ A = 2\ mins+ \frac{20}{60}\ min[/tex]
[tex]Security\ A = 2\ mins+ \frac{1}{3}\ min[/tex]
[tex]Security\ A = 2\frac{1}{3}\ min[/tex]
[tex]Security\ B = 1\ mins, 40\ secs[/tex]
[tex]Security\ B = 1\ mins+ 40\ secs[/tex]
[tex]Security\ B = 1\ mins+ \frac{40}{60}\ min[/tex]
[tex]Security\ B = 1\frac{2}{3}\ min[/tex]
So, we have:
[tex]Security\ A = 2\frac{1}{3}\ min[/tex]
[tex]Security\ B = 1\frac{2}{3}\ min[/tex]
List out the multiples of the time of both security personnel take round.
[tex]Security\ A = 2\frac{1}{3}min,\ 4\frac{2}{3}min,\ 7min,\ 9\frac{1}{3}min,\ 11\frac{2}{3}min...[/tex]
[tex]Security\ B = 1\frac{2}{3}min,\ 3\frac{1}{3}min,\ 5min,\ 6\frac{2}{3}min,\ 8\frac{1}{3}min,\ 10min\ ,11\frac{2}{3}min,...[/tex]
In the above lists, the common time is:
[tex]Time = 11\frac{2}{3}\ min[/tex]
This implies that they go on round after [tex]11\frac{2}{3}\ min[/tex]
Solve the system of linear equations by graphing
Answers
Answer:
Place one dot at (0,-2) and another point at (-1,-1) then draw a line through it. Then place a dot at (0,3) and (1,0) And draw a line through those two points. Wherever those two lines intercept will be your answer.
Step-by-step explanation:
Yvonne Simmons is a technical writer at ZAP Electronics with an annual salary of
$72,500. The board of directors at ZAP voted to give all employees a
cost-of-living adjustment of 1.5% and Simmons a merit increase of 4%. What will
Simmons's salary be for the upcoming year?
Answers
Answer:
$76,487.50
Step-by-step explanation:
A restaurant needs to plan seating for a party of 150 people. Large tables seat 10 people and small tables seat 6. Let x represent the number of large tables and y represent the number of small tables. The expression 10A + 6B, which represents the total number of people you can seat using A large tables and B small tables, is called a linear combination. For instance, 150 people could be seated using 6 large tables and 15 small tables. Use that expression to enter an equation in standard form that models all the different combinations of tables the restaurant could use. Then identify at least one possible combination of tables other than (6, 15).
The equation is . Another possible combination is
Answers
Answer:
15
Step-by-step explanation:
Pls hurry and help!!!!! 3х + 3 = Зу
2x – 6у = 2. Solve the equations by using elimination (adding) show work
Answers
Answer:
Step-by-step explanation:
3x - 3y = -3
2x - 6y = 2
-6x + 6y = 6
2x - 6y = 2
-4x = 8
x = -2
-4 - 6y = 2
-6y = 6
y = -1
(-2, -1)
Which set of ordered pairs represents a function?
O{(-1,-6), (-1, -2), (5, -1), (7,-2)}
O {(5,-9), (-2, -7), (5,4), (3,7)}
O {(4,-4), (-4,-4), (-7, -2), (-6,6)}
{(-4, 7), (-4, - 7), (-3,6), (-6, -6)}
Answers
Answer:
Third 1
Step-by-step explanation:
A function can not have repeating x-values, but CAN have repeating Y-VALUES.
(x,y)
Example : (-4,6) & (-4,2) - There is a repeating x-value, -4.
Need help with this please and please explain as well thank you
Answers
Answer:
324
Step-by-step explanation:
4 × 6 × 11 in = 264 [tex]in^{2}[/tex]
3 × 4 × 5 in = 60 [tex]in^{2}[/tex]
264+60= 324
(1) The ratios 18:3 and 6:1 are equivalent. Why?
Answers
Answer:
Because if you take 18:3 and divide both sides by 3, you will get 6:1
Step-by-step explanation:
Because 18:3 divided by 3 on both sides equals 6:1, also 6:1 times 3 on both sides equals 18:3.
If 2.22 moles of ammonia (NH3 ) decomposes according to the reaction shown, how many moles of hydrogen (H2 ) are formed? A. 1.11 moles of H2 B. 3.33 moles of H2 C. 6.66 moles of H2 D. 2.22 moles of H2
Answers
Answer:
C. 3.33 moles
Step-by-step explanation:
Ammonia decomposes
[tex]2NH_3\rightarrow N_2+3H_2[/tex]
We have to find the moles of hydrogen formed in 2.22 moles of ammonia.
From the reaction
2 moles of ammonia gives 3 moles of hydrogen
1 mole of ammonia produce hydrogen=3/2 moles
2.22 moles of ammonia produces hydrogen=[tex]\frac{3}{2}\times 2.22[/tex] moles
Number of moles of hydrogen formed by decomposition of 2.22 moles of ammonia
=[tex]\frac{6.66}{2}=3.33[/tex]moles
Hence, 3.33 moles of hydrogen are formed in 2.22 moles of ammonia.
Option C is true.
C. 3.33 moles
helppppppppppp pleaseeee
Answers
Answer:
25
Step-by-step explanation:
20) Write a division number story with an answer of 1/4.
Be sure to ask a question.
Answers
Answer:
Story: Mr. Lanre bought 8 apples for $2. What is the cost of each apple.
Step-by-step explanation:
Given
[tex]Answer = \frac{1}{4}[/tex]
Required
Write a division story
A division story could be:
Mr. Lanre bought 8 apples for $2. What is the cost of each apple.
Solving the above problem, we have:
[tex]Apples = 8[/tex]
[tex]Total\ Cost =\$2[/tex]
The cost of each is:
[tex]Each = \frac{Total\ Cost}{Apples}[/tex]
[tex]Each = \frac{2}{8}[/tex]
Simplify fraction
[tex]Each = \frac{1}{4}[/tex]
When a teacher counted her students in groups of 4, there were two students left over. When she counted them in groups of 5, she had 1 student left over. If 15 of her students were girls and she had more girls than boys, how many students did she have?
Answers
Number of students in class = x students
X is two more than a multiple of 4
So x is an even number because multiples of 4 are even & adding 2 would mean it’s still equal
X is 1 more than a multiple of 5. We know x is an even number. It has to be a multiple of 5 ending in 5 not 0
5 + 1 = 6
All multiples of 4 ending in 6 are 16, 36, 56...
Since there are 15 girls and there are less boys than girls
16 - 15 = 1
Therefore there’s 16 students