Differentiate. y = (x2 - 2x + 6) et O (2x - 2) ex (x2 + 4x + 4) ex O (x2 + 4) ex + 4x + 6
Answers
Answer:
y' = (x² + 4)eˣ
Step-by-step explanation:
Power rule: y' = f'(x)g(x) + f(x)g'(x)
[tex]\frac{d}{dx} [e^x]=e^x[/tex]
Step 1: Write equation
y = (x² - 2x + 6)eˣ
Step 2: Differentiate
Power rule: y' = eˣ(2x - 2) + eˣ(x² - 2x + 6)Factor out eˣ: y' = eˣ[2x - 2 + x² - 2x + 6]Combine like terms: y' = eˣ(x² + 4)Rewrite: y' = (x² + 4)eˣRelated Questions
Solve for V and simplify.
2v+6=13v-4v+62
Answers
Explanation:
The Walt Disney Company, the production studio behind the Marvel Cinematic Universe, is trying to find the best release date for their new super hero movie. They are hesitating between the summer and winter holiday release, and they want to know if there is any difference between the earning potential during those seasons. The analytics division in the company examined a random sample of box-office data for movies released during the past 5 years in the USA and Canada and found that 52 out of 1258 movies with summer release date earned over 400 million dollars. They also counted that out of 545 movies released in the winter, 8 earned over 400 million dollars.
Over 4 million USD Under 4 million USD
Summer release 57 1251
Winter release 11 544
Total
1. We want to investigate whether there is a difference in the proportion of movies that eam over 400 million dollars for the two release seasons. Which hypotheses should we use?
2. Calculate the difference in the proportions of movies that eamed over 400 million dollars.
3. The paragraph below describes the set up for a randomization test, if we were to conduct a hypothesis test without using software. Fill in the blanks with a number.
We write Summer on_____cards and cards representing the movies with summer release date, and Winter on_____cards. Then, we shuffle these cards and split them into two groups one group of size_____representing the movies with box-office over 400 million dollars, and another group of size_____representing the rest of the movies. We calculate the difference in the proportions of movies that eaned over 400 million dollars during the two release seasons to get PSmmer PWinter. Finally, we build a histogram of these simulated dfterences.
Answers
Answer:
Step-by-step explanation:
Over 4 million USD Under 4 million USD Total
Summer release 57 1195 1251
Winter release 11 533 544
1)Let [tex]P_1[/tex] be the proportion of movies that earn over 400 million in summer and [tex]P_2[/tex] be the proportion of movies that earn over 400 million in winter.
Null hypothesis:[tex]H_0:P_1= P_2[/tex]
Alternate hypothesis : [tex]H_a: P_1 \neq P_2[/tex]
2)Calculate the difference in the proportions of movies that earned over 400 million dollars.
[tex]P_1=\frac{57}{1251}=0.045[/tex]
[tex]P_2=\frac{11}{544}=0.0202[/tex]
3)
[tex]P_{(Summer)}-P_{(winter)}=0.045-0.0202=0.0248[/tex]
We write Summer on 1251 cards and cards representing the movies with summer release date, and Winter on 544 cards. Then, we shuffle these cards and split them into two groups one group of size 68 representing the movies with box-office over 400 million dollars, and another group of size representing 1728 the rest of the movies.
A water feature that could be a source of groundwater for humans is found at a location on a hillside where Earth’s surface is lower than the water table.
Ill mark brainliest
What type of feature might be observed at this location?
spring
aquifer
artesian well
unsaturated zone
Answers
Answer:
aquifer=b
Step-by-step explanation:
aquifer =
b edgu 2020
PRE CALC QUESTION
For the following, find the function P defined by a polynomial of degree 3 with real coefficients that satisfy the given conditions.
The zeros are -3,-1, and 4. The leading coefficient is -5.
(type answer in standard form)
P(x)=
Answers
Answer:
-5[tex]x^{3}[/tex] + 65x + 60
Step-by-step explanation:what is the coefficient of the term 12p in the expression 12p+9q
Answers
Answer:
12
Step-by-step explanation:
Answer:
The answer is 12,
Step-by-step explanation:
12 is the coefficient because it is the number multiplied by the variable p in the equation.
Which expression is equivalent to (5x3)(2x)3
O 10x6
O 30X6
O 40x6
O 1,000x12
Answers
Answer:
10[tex]x^{6[/tex]
Step-by-step explanation:
I really hope 5x3 is 5x cubed and 2x3 is 2x cubed.
First multiply the coefficients (5*2)=10
then multiply the variables [tex]x^{3}[/tex]x[tex]x^{3}[/tex]=[tex]x^{6}[/tex]
then multiply them both
10[tex]x^{6[/tex] or option 1
The answer is C: 40x6
Write an example that is not an integer
Answers
Answer:
1/2, 1/4 3/72, .50, .25, etc.
Step-by-step explanation:
An INTEGER is a whole number, positive or negative. A number that ISN'T an integer is a fraction or decimal.
Estimate the square root of the imperfect square of 18.
Answers
Answer:
18 times four is 72
Step-by-step explanation:
can you please help me
Answers
Answer:
What would you like help on?
Step-by-step explanation:
if the airplane flew 40 miles, how many gallons of gas would be left in the tank
Answers
Plz answer 1st RIGHT gets BRAINLY!!!!! PLUS 10 POINTS!!!!
Answers
Answer: I think the answer is B.) 570
Evaluate the following functions at x = 10
g(x)=√(x+1)
Answers
g(x)=√(x+1)
Let's plug 10 in for x
g(10) = √(10+1)
Simplify the exponents
g(10) = √(11)
This is the exact form but it can also be expressed as a decimal.
√(11) = 3.31662479
You can simplify as needed
Answer:
3.316
Step-by-step explanation:
Given X=10
Evaluating,
√(10+1)
=√11
=3.316
How is 5 represented in 6.75
Answers
Answer:
5 is in the hundreths place :))
Step-by-step explanation:
Answer:
0.05
Step-by-step explanation:
since the place value of the five is beyond the decimal point, and it is the second number beyond the decimal point, so it is in the hundredths place.
finding the slope
(-2,-2) , (11,-10)
Answers
y = 12/13x - 2/13, characters
Let z = 1 + 3i and w = -3 - 4i.
Use the drop down menus to complete the statements.
The sum z + w is equal to - -i
The sum w + z is equal to - 2 - i
The result supports that complex number addition is
Answers
Step-by-step explanation:
z+w= 1+3i-3-4i = -2-i
w+z=-3-4i+1+3i = -2-i
So, z+w = w+z
So, complex number addition is commutative
If z = 1 + 3i and w = -3 - 4i, then z + w = - 2 - i and w + z = - 2 - i, which supports that complex number addition is commutative.
What is commutativity property of addition?We are aware that the addition's commutative property states that altering the addends' order will not affect the sum.
How to solve it ?Here z = 1 + 3i and w = -3 - 4i.
Now, z + w = 1 + 3i - 3 - 4i = 1 - 3 + 3i - 4i = - 2 - i
and w + z = - 3 - 4i + 1 + 3i = - 3 + 1 - 4i + 3i = - 2 - i
i.e. z + w = w + z
Clearly, the addition obeys the commutative property.
Therefore we can conclude that If z = 1 + 3i and w = -3 - 4i, then z + w = - 2 - i and w + z = - 2 - i, which supports that complex number addition is commutative.
Learn more about the commutative property here -
https://brainly.com/question/23736946
#SPJ2
Tell whether the sum is positive, negative, or zero without adding them.
-8 + 20
Answers
Answer:
The sum is positive.
Step-by-step explanation:
The 20 is a far greater value than -8, so no matter what, when you add them the sum will be positive. Though this would not be the same were the -8 greater than -20.
Hope this helps!
A one dimensional object with no endpoint is a?
A.ray
B.line segment
C.line
D.point
Answers
Answer:
its line fjfjfjjejjdjdj
As per the given condition, the required one dimensional object with no end point is a line.
What is a ray?"In geometry, a ray can be defined as a part of a line that has a fixed starting point but no end point. It can extend infinitely in one direction.
On its way to infinity, a ray may pass through more than one point. When naming a ray, it is denoted by drawing a small ray on top of the name of the ray. "
What is a line segment?"A line segment is a part of a line that is bounded by two distinct end points, and contains every point on the line that is between its endpoints."
What is a line?"A line is a one-dimensional object, which has length but no width. A line is made of a set of points which is extended in opposite directions infinitely. It is determined by two points in a two-dimensional plane. "
What is a point?"A point is a primitive notion that models an exact location in the space, and has no length, width, or thickness. In modern mathematics, a point refers more generally to an element of some set called a space."
Given, a one dimensional object with no endpoint.
Therefore, the require object is a line.
Learn more about a line here: https://brainly.com/question/27560536
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Natalie was given a box of assorted chocolates for her birthday. Each night, Natalie treats herself to some chocolates. Let C represent the number of chocolates remaining in the box t days after Natalie's birthday. A graph of C is shown below. Write an equation for C then state the slope of the graph and determine its interpretation in the context of the problem.
PLEASE HELP ME I NEED THE ANSWER NOW
Answers
Answer:
C= -5t+30
The slope of the function is -5 which reveals the number of chocolates Natalie eats each night.
Step-by-step explanation:
Find the value of the expression 2x^4–5x^3+x^2+3x+2 for: b x=−5
Answers
Just plug in -5 for x and that’s what you get
Lines A and CD (if shown) are straight lines. Find x. Give reasons to justify your solutions.
Please Write in a form like the table below.
Answers
Answer/Step-by-step explanation:
STATEMENT ====> REASONS
1. m<AOB = 180° ==> 1. Definition of straight angle
2. m<AOF + m<FOG + m<GOB = m<AOB ==> 2. Angle Addition Postulate
3. (5x - 15)° + 90° + 2x = 180° ==> 3. Substitution
4. Solve as algebra to get x
5x - 15 + 90 + 2x = 180
Collect like terms
5x + 2x - 15 + 90 = 180
7x + 75 = 180
Subtract 75 from both sides
7x + 75 - 75= 180 - 75
7x = 105
Divide both sides by 7
7x/7 = 105/7
x = 15 ===> 4. Algebra
16,1,0,1,16 input x and output y -2,-1,0,1,2
Answers
Answer:
what is the question?
Step-by-step explanation:
What is the slope of (-7,-1) and (3,8)? Pls show your work
Answers
Answer:
[tex]m=\frac{9}{10}[/tex]
Step-by-step explanation:
To find the slope between any two points, we can use the following slope formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Let (-7, -1) be (x₁, y₁) and let (3, 8) be (x₂, y₂). Substitute them into the slope formula:
[tex]m=\frac{8-(-1)}{3-(-7)}[/tex]
Evaluate:
[tex]m=\frac{9}{10}[/tex]
Therefore, the slope between the two points is 9/10.
2
10x2 - 724
100x2 + 140xy + 4972 10x + 7y
Answers
Answer:
14xy/(10x+7y)^
Step-by-step explanation:
PLEASE HELP ME ASAP!!!! I WILL GOVE BRAINLIEST!!!
Answers
Answer:
Step-by-step explanation:
try a none of them match because if you add 35 and 7 to each side none of them match up but the first is the closest
the bike travels 1 mile every minute, so if you divide X in every table by 5, you should get Y. if it doesn’t fit, it wasn’t correct.
A rope is 12 meters long. You cut off 15/6 of the rope. How much is left?
Can you please add a step by step
Answers
Answer:
4.8
Step-by-step explanation:
15/6 is 2.5 whitch when divided by 12 is 4.8 so 12 divided by 2.5 is 4.8
Answer:
4.8 meters
Step-by-step explanation:
[tex]\frac{15}{6} = 2.5[/tex] 12 ÷ 2.5 = 4.8 metersI hope this helps!
Convert 2∘F to ∘C round to one decimal place
Answers
Answer:
-16.7
Step-by-step explanation:
(2°F − 32) × 5/9 = -16.7°C
There is triangle one of the angles is 101 degrees and the other is 38 workout x
Answers
Angle sum property = Sum of the three angles of a triangle will be equal to 180° .
Using this let us find out the measure of x .
Measure of first angle = 101°
Measure of second angle = 38°
Measure of third angle = x
[tex]101 + 38 + x = 180[/tex]
[tex]139 + x = 180[/tex]
[tex]x = 180 - 139[/tex]
[tex] = x = 41[/tex]
[tex]∴ \: the \: value \: of \: x \: = 41°[/tex]
What are the features of the quadratic function ƒ(x) = (x – 3)(x + 7)?
Question 8 options:
A)
Vertex = (2,25), y-intercept = (0,21), x-intercepts = (7,0) and (–3,0), axis of symmetry is x = 2
B)
Vertex = (–2,–25), y-intercept = (0,–21), x-intercepts = (–7,0) and (3,0), axis of symmetry is x = 2
C)
Vertex = (–2,–25), y-intercept = (0,–21), x-intercepts = (–7,0) and (3,0), axis of symmetry is x = –2
D)
Vertex = (–2,25), y-intercept = (0,21), x-intercepts = (7,0) and (3,0), axis of symmetry is x = –2
Answers
Answer:
Option C:Vertex = (–2,–25), y-intercept = (0,–21), x-intercepts = (–7,0) and (3,0), axis of symmetry is x = –2
Step-by-step explanation:
We are given the function;
f(x) = (x - 3)(x + 7)
The axis of symmetry in a quadratic equation is given by the formula;
x = -b/2a
Expanding the function given, we have;
f(x) = x² + 4x - 21
a = 1
b = 4
c = - 21
Thus;
Axis of symmetry is:
x = -(4)/(2 × 1)
x = -2
Now, y-intercept is when x = 0
Thus;
f(0) = (0 - 3)(0 + 7)
f(0) = - 3 × 7 = - 21
y - intercept is (0, - 21)
x-intercept is when f(x) = 0
Thus;
(x - 3)(x + 7) = 0
Thus;
x - 3 = 0 or x + 7 = 0
x = 3 or x = - 7
x - intercept is (-7, 0) and (3,0)
The y-coordinate of vertex will be at the line of axis of symmetry.
Thus, we will put x = -2 into the function to get;
y = (-2 - 3)(-2 + 7)
y = -5 × 5 = - 25
Vertex is at (-2, -25)
Correct Answer is option C
Answer:
Vertex = (–2,–25), y-intercept = (0,–21), x-intercepts = (–7,0) and (3,0), axis of symmetry is x = –2
Step-by-step explanation:
What is the measure of angle b?
Answers
Answer: 53
Step-by-step explanation: I just woke up I’m too tired to explain
If p = 5, q = 4, and r = 1, what is the value of p - r ?
a. 3
b. 4
c. 6
d. 1
Answers
We can replace p with 5 and r with 1, this will lead us with 5 - 1.
If p=5 and R= 1 then 5-1=4