Answer:
(x + 1)(x + 3)eˣ
Step-by-step explanation:
Since f(x) = (x + 1)²eˣ
df(x)/dx = d[(x + 1)²eˣ]/dx
By the product rule, duv/dx = udv/dx + vdu/dx
where u = (x + 1)² and v = eˣ
So, df(x)/dx = d[(x + 1)²eˣ]/dx
= (x + 1)²deˣ/dx + eˣd(x + 1)²/dx
= (x + 1)²eˣ + eˣd(x + 1)²/d(x + 1) × d(x + 1)/dx (by the chain-rule dy/dx = dy/du × du/dx)
= (x + 1)²eˣ + eˣ[2(x + 1) × 1]
= (x + 1)²eˣ + 2eˣ(x + 1)
= (x + 1)eˣ(x + 1 + 2)
= (x + 1)eˣ(x + 3)
= (x + 1)(x + 3)eˣ
Find the slope and y-intercept of the line. 6x+3y=-54
Answer:
the slope is -2 and the y-inceprcept is (0,18)
Step-by-step explanation:
because i did my work
(15 points!) What is the m
EG is parallel to FH and AD is the transversal.
We know that the interior angles on the same side of the transversal are supplementary.
Angle EBC and Angle FCB are interior angles on the same side of the transversal.
So, Angle EBC + Angle FCB = 180°
=> Angle EBC + 76° = 180°
=> Angle EBC = 180° - 76°
=> Angle EBC = 104°.
Answer — 104°
What is the value of variable for -4(y - 2) = 12
Explain please
Answer:
-4(y - 2) = 12
Standard form:
−4y − 4 = 0
Factorization:
−4(y + 1) = 0
Solutions:
y = −4
4
= −1
Step-by-step explanation:
whats the measure of arc GEH
Answer:
86
Step-by-step explanation:
At G and E
What equation can be used to solve for x
60Step-by-step explanation:
X is less than or equal to 24.
Answer:
yes
Step-by-step explanation:
x isnt a number
Answer:
x is less than and always 24
Property rights laws in the 1800s stated that women who
were married could own property.
were married could not earn wages.
worked had to give their pay to their husbands.
were single could not work in factories.
a) 3.x + y = 11
a)
2x-y=4
Step-by-step explanation:
3x + y = 11 ...(1)
2x - y = 4 ...(2)
From equation (1) we get,
3x + y = 11
x = 11 - y/3
Now, put the value of x = 11 - y/3 in equation (2) we get,
2x - y = 4
2(11 - y/3) - y = 4
22 - 2y/3 - y = 4
22 - 2y - 3y = 12
22 - 5y = 12
5y = 22- 12
5y = 10
y = 10/5
y = 2
Now, Put the value of y = 2 in equation (1)
3x + y = 11
3x + 2 = 11
3x = 11 - 2
3x = 9
x = 9/3
x = 3
Thus, The value of x is 3 and y is 2
FOR VERIFICATION ONLY:3x + y = 11
3(3) + 2 = 11
9 + 2 = 11
11 = 11
2x - y = 4
2(3) - 2 = 4
6 - 2 = 4
4 = 4
Hence, L.H.S = R.H.S
-TheUnknownScientist
A plumber charges a flat fee of $74 to visit a home and examine a clogged drain. The plumber charges an additional $28 per hour spent fixing the drain. The
total cost, C (in dollars), for fixing a drain that takes h hours is given by the following.
C = 74+28
Answer the following questions.
(a) If the plumber charged a total of $382, how many hours did she spend fixinal
Answer: A. 74+28(7)=$382
B. 28 hours.
Step-by-step explanation: or b, what you need to do is minus 74 from 382. Then divided by 28.
Answer:
11 hours
Step-by-step explanation:
h = hours
382 = 74 + 28h
subtract 74 from both sides
308 = 28h
h = 11
Check:
382 = 74 +28(11)
382 = 308 + 74
382 = 382
HELP PLEASEfor some reason I am having trouble with this question
Answer:
Step-by-step explanation:
Answer:
10=-2x+20
Step-by-step explanation:
Above line is incorrect. It should be 10=10x+20 . You add +6x to get 10x, not -6x.
then solve
10=10x + 20
-10=10x
-1=x
if you substitute -1 for x in the original problem, it equals:
-2(3(-1)-5)=4(-1+3)+8
-2(-8)=4(2)+8
16=8+8
16=16
Marcus has 1525 marbles in divides the marbles into 15 bags to sell each bag how many marbles are in each bag and how many marbles are left over
Answer:
There are 101 marbles in each bag with 10 marbles leftover.
Step-by-step explanation:
To find how marbles will go in each bag, divide 1525 by 15.
1525/15 = 101 with a remainder of 10.
There's your answer!
You are standing on a footbridge that is 12 feet above a lake. You look down and see a duck in the water. The duck is 7 feet away from the footbridge. What is the angle of elevation from the duck to you? Round your answer to the nearest tenth.
Answer:
59.7°
Step-by-step explanation:
Working based on the solution diagram :
The angle of elevation = x
From trigonometry :
Opposite side = 12 feets
Adjacent side = 7 feets
Tan x = opposite / Adjacent
Tan x = 12 / 7
Tan x = 1.7142857
x = tan^-1(1.7142857)
x = 59.744°
The angle of elevation from the duck is 59.7°
Answer:
The answer is 59.7 degrees
Step-by-step explanation:
Colton has math and reading homework tonight. Colton can solve each math problem
in 3 minutes and he can read each page in 1.5 minutes. The number of pages Colton
read is twice the number of math problems he solved, and it took him 54 minutes to
complete all of his homework. Determine the number of math problems Colton
solved and the number of pages he read.
Colton solved ____
math problems and read ____
pages.
Answer:
Colton solved 9 math problems and read 18 pages.
Write a quadratic function that has been translated 1
units to the right and 3 units down.
Step-by-step explanation:
Hi,
f(x) = (x - 1) - 3
The -1 is the 1 unit to the right (even though it's being subtracted, it's going to the right because it's embedded with the x)
And the -3 is not embedded with the x, meaning the function will move 3 units down.
I hope this helps :)
Is the function below linear or non linear y= 4x^2 + 9
Answer:
nonlinear
Step-by-step explanation:
because degree of is 2
Please help me I don’t have much time plsss
Which is an example of a quadratic function whose graph opens downward and has its vertex at (0, 1)?
A. y = −x^2 + 1
B. y = x^2 + x − 1
C. y = x^2 + 4x + 1
D. y = x^2 − 1
Given:
The graph of a quadratic function opens downward and has its vertex at (0, 1).
To find:
The quadratic function.
Solution:
The vertex form of a quadratic function is:
[tex]y=a(x-h)^2+k[/tex] ...(i)
Where, a is a constant and (h,k) is the vertex.
If a<0, then graph opens downward and if a>0, then graph opens upward.
It is given that the quadratic function opens downward and has its vertex at (0, 1). It means a must be negative.
Putting h=0 and k=1 in (i), we get
[tex]y=a(x-0)^2+1[/tex]
[tex]y=ax^2+1[/tex]
For [tex]a=-1[/tex],
[tex]y=(-1)x^2+1[/tex]
[tex]y=x^2+1[/tex]
So, option A is correct.
In other options the leading coefficient is positive it means their graphs open upward. So, options B, C and D are incorrect.
Therefore, the correct option is A.
Which number is a factor of 54 and a multiple of 6?
Answer:
6
Step-by-step explanation:
Can tell me if it's correct? If it's wrong, can you tell me the correct answer and how to solve it?
Answer:
C is a right triangle
Step-by-step explanation:
To determine if the triangle is right use Pythagoras' identity
A
9.4² = 88.36
6.4² + 7.1² = 91.37
88.36 ≠ 91.37 , thus not a right triangle
B
8.4² = 70.56
5.2² + 6.3² = 66.73
70.56 ≠ 66.73 , thus not a right triangle
C
9.7² = 94.09
6.5² + 7.2² = 94.09
Thus C is a right triangle
D
8.4² = 70.56
5.1² + 7.3² = 79.3
70.56 ≠ 79.3 , thus not a right triangle
Answer:
Answer C is the correct one
Step-by-step explanation:
Remember that the Pythagorean Theorem applies only to right triangles. In Answer A, the legs of the triangle shown are 6.4 and 7.1; we apply the Pythagorean Theorem and check whether the length of the hypotenuse is indeed 9.4:
6.4² + 7.1² = 40.96 + 50.41 = 91.37.
Is √91.37 equal to 9.4? Not quite! For now, reject Answer A.
Answer B: 5.2² + 6.3² yields 66.73. Is this equal to 8.4²? No, it is not.
Reject Answer B.
Answer C: 7.2² + 6.5² = 94.09. Is this equal to 9.7²? YES. So Answer C is the correct one.
find the area of a polygon and show step by step explanation pls
Answer:
156
Step-by-step explanation:
6×12=72
7×12=84
72+84=156
Where is the point X located on the number line shown below?
Answer:
-4.5
Step-by-step explanation:
-6, -5.5, -5, -4.5 (x), -4
Jack's lunch at a restaurant costs $13.00, without tax. He leaves the waiter a 17% tip of the cost of the lunch. What is the tip money Jack should leave?
Answer:
$2.21
Step-by-step explanation:
Given data
Cost = $13.00
Tip= 17%
Let us find the amount of the tip
=17/100*13
=0.17*13
=$2.21
Hence the tip is $2.21
Explain why 2 is NOT a solution of x>5.
Answer:
Step-by-step explanation:
It is becuase x is to be more than 5 and 2 is less than 5.
The weight, M of an astronaut on the moon is directly proportional to the weight, E on Earth. An astronaut weighing 84kg on Earth weighs 14kg on the moon. Write a constant rate equation; how much would an astronaut who weighs 72kg on Earth weigh on the moon?
Answer:
your a scammer action Mike
what is an asexual structure where spores develope?
PLEASE HELP, I NEED THIS OR I WILL FAIL MY CLASS PLZZZZ.
30 POINTS AND BRANNIEST
( PLEASE SHOW WORK OR I MIGHT NOT GIVE BRAINIEST )
Answer:
this isnt 30 points lol but here it goes...dont do yhis ugh
Step-by-step explanation:
Answer: C
Step-by-step explanation:
The higher value is 20 and the lowest is 11 and for it to be an outlier, it needs to be lower than the lowest value and higher than the greatest value
-
A bakery takes three types of bread, with the monthly cost being RM 6850
for 2150 loaves of bread. The cost of baking a loof of butterscotch bread
is km 2 a chocolate bread km 3 and a coconut bread Rm 4. The sale prices
of a loaf of butterscotch bread a chocolate bread and a coconut bread
are km 3 , RM 4.50 and km s. so respectively - It the bakery makes a profit
RM 2975 monthly how many loaves of each type of bread will it bake)
Answer:
The bakery will bake 600 butterscotch bread, 550 chocolate bread, and 1,000 coconut bread
Step-by-step explanation:
In order to answer the word problem question, we list the parameters as follows;
The number of bread types the bakery takes = 3 types of bread
The monthly cost of the bakery for baking the bread, C = RM 6,850
The number of bread loaves baked = 2,150
The cost of baking a loaf of butterscotch bread = Rm 2
The cost of baking a loaf of chocolate bread = Rm 3
The cost of baking a loaf of coconut bread = Rm 4
The sale price of a butterscotch bread = Rm 3
The sale price of a chocolate bread = Rm 4.50
The sale price of a coconut bread = Rm 5
The amount of monthly profit the bakery makes, P = Rm 2,975
Therefore, the total revenue of the company, R = C + P
∴ R = Rm 6,850 + Rm 2,975 = Rm 9,825
Let 'x', 'y', and 'z', represent the number of loaves of butterscotch, chocolate, and coconut bread the company bakes respectively
Then we get;
x + y + z = 2,150...(1)
2·x + 3·y + 4·z = 6,850...(2)
3·x + 4.5·y + 5·z = 9,825...(3)
Multiplying equation (1) by 2 and subtracting from equation (2) gives;
2·x + 3·y + 4·z - 2×(x + y + z) = 6,850 - 2 × 2,150 = 2,550
2·x - 2·x + 3·y - 2·y + 4·z - 2·z = 2,550
∴ y + 2·z = 2,550...(4)
Adding equation (1) to (2) and subtracting from (3) gives;
3·x - 3·x + 4.5·y - 4·y + 5·z - 5·z = 9,825 - (6,850 + 2,150) = 825
1.5·y = 825
y = 825/1.5 = 550
The number of loaves of chocolate bread baked, y = 550
From equation (4), we get;
550 + 2·z = 2,550
2·z = 2,550 - 550 = 2,000
z = 2,000/2 = 1,000
The number of loaves of coconut bread baked, z = 1,000
∴ From equation (1) x = 2,150 - (550 + 1,000) = 600
The number of loaves of butterscotch bread baked, x = 600.
what is (4x^2-9x+1) -(5x^2-x-7) written in standard form?
Answer:
−x²−8x+8
Step-by-step explanation:
please help me asap ! in a hurry !
Answer: I’m not sure if I’m correct but I’m pretty sure it’s C
Rita feeds her dog 3/4 pounds of dog food for each meal. Rita has just bought 24 pounds of dog food. For how many meals will the food last?
Answer:
32 meals
Step-by-step explanation:
Pounds of food per meal = 3/4 pounds
Pounds of food purchased = 24 pounds
Number of meals which the food can last up to, n = pounds of food purchased ÷ pounds of food per meal
n = 24 pounds ÷ 3/4 pounds
n = 24 * 4 /3
n = (24 * 4). / 3
n = 96 /3
n = 32 meals