The graphs of the function is attached below.
The transformation used by the is function is that the function is stretched and a vertical shift of 3 units downwards.
The technique of altering an existing graph or graphed equation to create a different version of the following graph is known as graph transformation. In particular, the change of algebraic equations, it is a typical kind of algebraic problem.Determine whether the figure looks reversed, like a reflection in a mirror. The graph has been reflected if we can locate a line of reflection, picture folding the image over the line of reflection, and the shapes stack one on top of the other.The given graph is y = 2 x³ - 3
To understand the transformation we have to find the parent function.
For this graph the parent function is given by:
y = x³
So let us transform the graph to y=2x³ , the graph is stretched 2 times.
Now let us use the final function y = 2 x³ - 3 , here the graph is vertically shifted downwards.
To learn more about transformation visit:
https://brainly.com/question/11709244
#SPJ9
PLEASE ASAP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!11
Answer:
3/2
Step-by-step explanation:
Finding the slope of a line on a graph is easier if you can identify places where the line crosses grid intersections. We see two of those to be ...
(4, 1) and (6, 4)
The second of these points is 4-1 = 3 grid squares higher than the first point. It is also 6 -4 = 2 grid squares to the right. The slope is the ratio of these values:
slope = "rise"/"run" = 3/2
The slope of the graphed line is 3/2.
A rose garden is formed by joining a rectangle and a semicircle, as shown below. The rectangle is 29 ft long and 20 ft wide.
Find the area of the garden. Use the value 3.14 for , and do not round your answer. Be sure to include the correct unit in your answer.
Answer:
15.7 square feet
Step-by-step explanation:
To find the area of the garden we find the area of the rectangle and the area of the semicircle.
The area of the rectangle:
A=bh
A=(29)(20)
A=580ft^2
As shown in the picture, the width of the rectangle is 20 ft wide, which means that the diameter of the semicircle is also 20ft wide. The diameter is two times the radius, which means the radius of the semicircle is 10ft.
The area of a circle is represented by the equation: \(A=\pi r^{2}\)
A semicircle is half of a circle, therefore the equation to find the area of a semicircle is: \(A=\frac{1}{2}\pi r^{2}\)
Plugging our radius of 10ft in we get:
\(A=\frac{1}{2}\pi (10)\\ A=5\pi\)
We use 3.14 for our value of \(\pi\) to get:
\(A=5(3.14)\\A=15.7ft^{2}\)
Therefore, the area of the rose garden is 15.7 square feet.
what's the answer to -2/-5x=10
Step-by-step explanation:
\( \frac{( - 2)}{( - 5x)} = 10 \\ \\ \frac{2}{5x} = 10 \\ \\ 2 = 10 \times 5x \\ 2 = 50x \\ \\ x = \frac{2}{50} \\ \\ x = \frac{1}{25} \)
( -5x÷(-5)=10÷(-5)
x=-2
A car was marked $25,000. Ms. Eve bought it at a discount of
18%. In addition, she had to pay 7% tax. If Ms. Eve had to put
14% of what she had to pay as down payment, how much
money did she have to pay for the down payment?
4
Answer:
$3,745
Step-by-step explanation:
First, you have to calculate the price after the discount is applied:
Price of the car: $25,000
Discount: 18%
$25,000*18%= $4,500
$25,000-$4,500= $20,500
Second, you have to calculate the total amount she has to pay including the 7% tax:
$25,000*7%= $1,750
$25,000+$1,750= $26,750
Third, as the statement indicates that Ms. Eve had to put 14% of what she had to pay as down payment, you have to calculate the 14% of $26,750:
$26,750*14%= $3,745
According to this, Ms. Eve has to pay $3,745 for the down payment.
can someone please help me solve this? thank you!:)
First, we need to set up our two equations. For the picture of this scenario, there is one length (L) and two widths (W) because the beach removes one of the lengths. We will have a perimeter equation and an area equation.
P = L + 2W
A = L * W
Now that we have our equations, we need to plug in what we know, which is the 40m of rope.
40 = L + 2W
A = L * W
Then, we need to solve for one of the variables in the perimeter equation. I will solve for L.
L = 40 - 2W
Now, we can substitute the value for L into L in the area equation and get a quadratic equation.
A = W(40 - 2W)
A = -2W^2 - 40W
The maximum area will occur where the derivative equals 0, or at the absolute value of the x-value of the vertex of the parabola.
V = -b/2a
V = 40/2(2) = 40/4 = 10
Derivative:
-4w - 40 = 0
-4w = 40
w = |-10| = 10
To find the other dimension, use the perimeter equation.
40 = L + 2(10)
40 = L + 20
L = 20m
Therefore, the dimensions of the area are 10m by 20m.
Hope this helps!
Answer:
Width: 10 m
Length: 20 m
Step-by-step explanation:
Hi there!
Let w be equal to the width of the enclosure.
Let l be equal to the length of the enclosure.
1) Construct equations
\(A=lw\) ⇒ A represents the area of the enclosure.
\(40=2w+l\) ⇒ This represents the perimeter of the enclosure. Normally, P=2w+2l, but because one side isn't going to use any rope (sandy beach), we remove one side from this equation.
2) Isolate one of the variables in the second equation
\(40=2w+l\)
Let's isolate l. Subtract 2w from both sides.
\(40-2w=2w+l-2w\\40-2w=l\)
3) Plug the second equation into the first
\(A=lw\\A=(40-2w)w\\A=40w-2w^2\\A=-2w^2+40w\)
Great! Now that we have a quadratic equation, we can do the following:
Solve for its zeros/w-intercepts.Take the average of the zeros to find the w-variable of the vertex. (The area (A) in relation to the width of the swimming area (w) is what we've established in this equation, and the area (A) is greatest at the vertex. Finding the value of w of the vertex will tell us what the width needs to be for the area to be at a maximum.)Plug this w value into one of the equations to solve for l4) Solve for w
\(A=-2w^2+40w\)
Factor out -2w
\(A=-2w(w-20)\)
For A to equal 0, w=0 or w=20.
The average of 0 and 20 is 10, so the width that will max the area is 10 m.
5) Solve for l
\(40=2w+l\)
Plug in 10 as w
\(40=2(10)+l\\40=20+l\\l=20\)
Therefore, the length of 20 m will max the area.
I hope this helps!
What is the missing number in the solution to 958 - 10? 95 R8 10) 958 -90 -50 8 O A. 50 B. 5 O C. 58 O D. 80
You have the following operation:
958 ÷ 10
To determine what is the missing number, calculate the given division:
95
10 | 958
- 90
58
-50
8
as you can notice, the missing number is 58 in the given procedure of the division 958 ÷ 10.
Hence, the asnwer is C. 58
2.) Let's consider a Stackelberg version of monopolistic competition. Suppose market demand is given by P = 30 – Q and there are ""n"" firms in the market with the first firm denoted as the leader
The specific numerical solution will depend on the number of firms in the market and their behavior.
In a Stackelberg version of monopolistic competition, there is a leader firm that sets its output first, and all the other firms in the market act as followers and choose their outputs simultaneously.
Suppose there are "n" firms in the market, with the first firm denoted as the leader. Let's assume that each firm has a constant marginal cost of $10 per unit. Then, the leader firm's profit-maximizing output level can be found by solving the following problem:
max (30-Q1-Q2-...-Qn)Q1 - 10Q1
subject to Q1 >= 0
where Q1 is the output level of the leader firm, and Q2, Q3, ..., Qn are the output levels of the follower firms.
Taking the first-order condition by differentiating with respect to Q1 and setting it equal to zero, we get:
d/dQ1 [(30-Q1-Q2-...-Qn)Q1 - 10Q1] = 0
Simplifying this expression, we get:
30 - Q1 - Q2 - ... - Qn - 2Q1 = 0
Solving for Q1, we get:
Q1 = (30 - Q2 - ... - Qn)/3
This equation gives us the leader firm's profit-maximizing output level as a function of the follower firms' output levels.
Now, let's consider the follower firms' profit-maximizing output levels. Since each follower firm is a price-taker, its profit-maximizing output level can be found by equating marginal cost to market price, which is equal to the market demand curve divided by the total quantity produced by all firms in the market. Therefore, the profit-maximizing output level of the jth follower firm can be expressed as:
Qj* = (1/n) * (30 - Q1 - Q2 - ... - Qj-1 - Qj+1 - ... - Qn - 10)
where Qj* is the follower firm's profit-maximizing output level, and j = 2, 3, ..., n.
Using these expressions for the leader and follower firms' profit-maximizing output levels, we can solve for the equilibrium outputs and profits in the Stackelberg version of monopolistic competition. However, the specific numerical solution will depend on the number of firms in the market and their behavior.
To learn more about market visit:
https://brainly.com/question/13414268
#SPJ11
A line has a slope of 6 and includes the points (-7, v) and (-4, 9). What is the value of v?
Please help me!
I really want to have time to study for my unit test tomorrow.
Answer:
To solve this problem, we can use the formula for the slope of a line: slope = (y2 - y1)/(x2 - x1).
Plugging in the given values, we get: slope = (9 - v)/(-4 - (-7)).
We can simplify this to: slope = (9 - v)/3.
Since the slope is given as 6, we can set this expression equal to 6 and solve for v:
6 = (9 - v)/3
Multiplying both sides by 3 gives us: 18 = 9 - v
Adding v to both sides gives us: 18 + v = 9
Subtracting 9 from both sides gives us: v = 9 - 18
Finally, we can simplify this to: v = -9
So the value of v is -9.
Answer:
-9
Step-by-step explanation:
(9 - v)/(-4+7)= 6
9 - v = 18
-v = 9
v = -9
A report card shows that a student earns 21 points on a test with a total of 25 points. What percentage of the total points has the
student earned on the test?
Answer: The student got an 84%
Step-by-step explanation:
This one is comparatively simple because 25 is a factor of 100,
we just have to multiply each side by 4 so we get 81 out of 100
Cheers!
Rsmbro
if 95% confidence intervals are computed for 200 towns, what is the probability that more than 192 of the confidence intervals cover the true proportions
We can say that the probability which is more than 192 of the confidence intervals cover the true proportions i.e, P(X > 192) is 0.9452.
Given: Confidence interval = 95%
We need to find the probability that more than 192 of the confidence intervals cover the true proportions.
P(X > 192) = ?
We know that the sample proportion follows the Normal distribution as n is large.
According to the Central Limit Theorem, the sample proportion follows the Normal distribution with mean and standard deviation as shown below:
μp = pσp = √((pq/n))
Here, p and q are population proportions and p + q = 1.
We do not know the population proportion, p or q, but we can assume that p = q = 0.5 in case we do not have any prior knowledge of p and q.
Now, we standardize the Normal distribution using z-score:
Z = (X - μp) / σp
Z = (X - np) / √((npq/n))
Here, X is the number of confidence intervals that cover the true proportions.
The sample proportion is computed as:
p = X / n
Here, n is the number of samples (towns).
Now, the z-score can be written as:
Z = (X - np) / √((npq/n)) > Z
= (192 - 200 × 0.5) / √((200 × 0.5 × 0.5/200))
= -1.6
P(Z > -1.6) = 0.9452 [from z-table]
Therefore, the probability that more than 192 of the confidence intervals cover the true proportions is P(X > 192)
= 1 - P(X ≤ 192) > 1 - P(Z ≤ -1.6) > 1 - 0.0548
= 0.9452
To know more about probability visit:
https://brainly.com/question/31828911
#SPJ11
8 x 10 inch rectangle.Total area is 168 in^2. Calculate the width of the rectangle. Which of the following quadratic equations would be used when solving this?
A - 2x^2 + 18x = 88
B - 4x^2 + 36x = 88
C - 4x^2 + 18x = 88
D - 2x^2 + 36 = 88
through (4,-3) slope= -1
Answer:
-x+1
Step-by-step explanation:
I need help with this question
Answer:
a)-1,6
b)0,4
c)3,0
d)-4,4
e)2,1
Suppose that the amount of algae in a pond doubles every 5 hours. If the pond initially contains
10 pounds of algae, how much algae will be in the pond after 20 hours?
Answer:
160 pounds of algae
Step-by-step explanation:
10 times 2 is 20 ( first 5 hours )
20 times 2 is 40 (10 hours)
40 times 2 is 80 (15 hours)
80 times 2 is 160 ( 20 hours)
there would be 160 pounds of algae
How to do u substitution with indefinite integrals.
The corresponding differential element, rewrite the integral in terms of the new variable, integrate with respect to the new variable, replace the new variable with the original variable, and simplify the expression to find the solution.
To perform u-substitution with indefinite integrals, follow these steps:
Identify a suitable substitution: Look for a part of the integrand that resembles the derivative of a function. Choose a variable u to substitute for that part.
Calculate du: Take the derivative of u with respect to the original variable. This will help us express du in terms of the original variable.
Rewrite the integral: Substitute the chosen variable and du in the original integral, replacing the part to be substituted with u and the corresponding differential element du.
Integrate with respect to u: Treat the integral as a new integral with respect to u. Evaluate the integral using the rules of integration.
Replace u with the original variable: Rewrite the result of the integration in terms of the original variable.
Simplify and solve: If necessary, simplify the expression further or perform additional algebraic manipulations to obtain the final result.
Let's illustrate these steps with an example:
Consider the integral ∫(2x + 3)² dx.
Identify a suitable substitution: Let u = 2x + 3.
Calculate du: Take the derivative of u with respect to x: du/dx = 2. Rearrange the equation to solve for du: du = 2 dx.
Rewrite the integral: In terms of u and du, the integral becomes ∫u² (du/2).
Integrate with respect to u: Treat the integral as a new integral with respect to u: (1/2) ∫u² du = (1/2) * (u³/3) + C, where C is the constant of integration.
Replace u with the original variable: Substitute back u = 2x + 3 in the result: (1/2) * ((2x + 3)³/3) + C.
Simplify and solve: Further simplify the expression if necessary to obtain the final result.
In summary, to perform u-substitution with indefinite integrals, identify a suitable substitution, calculate the corresponding differential element, rewrite the integral in terms of the new variable, integrate with respect to the new variable, replace the new variable with the original variable, and simplify the expression to find the solution.
Learn more about variable here
https://brainly.com/question/28248724
#SPJ11
Jermaine draws a triangle with the following dimensions:
• Height: 15 centimeters
• Base: 16 centimeters
What is the area of the triangle?
? cm2
Grady is comparing three investment accounts offering different rates.
Account A: APR of 4. 95% compounding monthly
Account B: APR of 4. 85% compounding quarterly
Account C: APR of 4. 75% compounding daily Which account will give Grady at least a 5% annual yield? (4 points)
Group of answer choices
Account A
Account B
Account C
Account B and Account C
The account that will give Grady at least a 5% annual yield is Account C
Why account C will give Grady at least a 5% annual yield?We can use the formula for compound interest to compare the three investment accounts and find the one that will give Grady at least a 5% annual yield:
FV = PV × (1 + r/n)^(n*t)
where FV is the future value, PV is the present value, r is the annual interest rate as a decimal, n is the number of times the interest is compounded per year, and t is the number of years.
For Account A:
APR = 4.95%, compounded monthly
r = 0.0495
n = 12
t = 1
FV = PV × (1 + r/n)^(nt)
FV = PV × (1 + 0.0495/12)^(121)
FV = PV × 1.050452
To get at least a 5% annual yield, we need FV/PV ≥ 1.05
1.050452/PV ≥ 1.05
PV ≤ 1.000497
Therefore, Account A will not give Grady at least a 5% annual yield.
For Account B:
APR = 4.85%, compounded quarterly
r = 0.0485
n = 4
t = 1
FV = PV × (1 + r/n)^(nt)
FV = PV × (1 + 0.0485/4)^(41)
FV = PV × 1.049375
To get at least a 5% annual yield, we need FV/PV ≥ 1.05
1.049375/PV ≥ 1.05
PV ≤ 1.000351
Therefore, Account B will not give Grady at least a 5% annual yield.
For Account C:
APR = 4.75%, compounded daily
r = 0.0475
n = 365
t = 1
FV = PV × (1 + r/n)^(nt)
FV = PV × (1 + 0.0475/365)^(3651)
FV = PV × 1.049038
To get at least a 5% annual yield, we need FV/PV ≥ 1.05
1.049038/PV ≥ 1.05
PV ≤ 1.000525
Therefore, Account C will give Grady at least a 5% annual yield.
Therefore, the account that will give Grady at least a 5% annual yield is Account C.
Learn more about compound interest
brainly.com/question/14295570
#SPJ11
I need some help with this problems please Number 10
Explanation:
We can see that this is an isosceles triangle, because there are two sides that are 4 units long and the third side is 3 units long.
For isosceles triangles we have the following congruences:
Therefore angle x is congruent to the one that's 66º.
Then we have that the measures of the interior angles of any triangle add up 180º:
\(\begin{gathered} yº+xº+66º=180º \\ y+66º+66º=180º \\ y+132º=180º \\ y=180º-132 \\ y=48º \end{gathered}\)Answers:
• x = 66º
,• y = 48º
#1 - Write a conditional statement for this Venn diagram (pic attached)
A. Red is a color
B. If it is red, then is is a color.
C.It is red, if and only if it is a color.
D.If it is a color, it is red.
Answer:
it might be A im a little confused but try A
Find the mixed number halfway between 6.4 and 6½. Give
your answer in its simplest form.
Answer:
6.45
Step-by-step explanation:
I am not staring at zero. I am starting at 6.4, so I take 6.4 and add that to half way between 6.5 and 6.4.
6.4 + 1/2(6.5-6.4) Combine in the parentheses
6.4 + 1/2(.5) Take half of .5
6.4 + .05 add
6.45
• Liz fue a comprar un Kilo de Papas tres cuartos
de Kilo de tomate y medio Kils de aguacate Yob
Cuarto de kilo de cebolla ¿Cuantos Kilos Pesaba
toda la verdura que compro?
Liz went to the store to get a kilo of papas, three kilo tomatoes, and a half kilo of aguacate. Yob Cuarto de Kilo de Cebolla, How Many Kilograms Were All the Vegetables You Bought Weighed
2,40
Dejar:
T = Tomate
n = cebolla
(2 kilograms of t) plus 1 kilogram of n = 8.40
(1 kilogram plus 2 kilograms) equals 7.80.
2t + n = 8,40 - -
t + 2n = 7,80 - -
De (2);
t = 7,80 - 2n
Toggata = 7.80 - 2n en
2 (7,80 - 2n) + n = 8,40
15,6 - 4n + n = 8,40
15,6 - 3n = 8,40
-3n = 8,40 - 15,6
-3n = - 7,2
n = 2,4
t = 7,80 - 2
t = 7,80 - 4,80
t = 3
As a result, the price of 1 kg of celery is $2.40.
To learn more about Liz Visit : https://brainly.com/question/19161934
#SPJ9
Which of the following numbers is not in the solution to the inequality
below?
-7 < 4x +1 < 5
O2
O-2
ОО
O-1
0 1
2. 5x + y = 3
2x - y = 4
Answer:
x=1 y=-2
Step-by-step explanation:
hope this helps
help pleaseeeeee!!!!!!!!!! How many unit cubes would it take to completely fill the prism with no gaps between unit cubes?
Answer:
72
Step-by-step explanation:
As you can see the top - view is a rectangle of 2 by 9 dimensions. Respectively the right - side view is a rectangle of 2 by 4 dimensions. The common dimension among both rectangles would be 2, making this rectangular prism have dimensions 2 by 4 by 9.
Therefore the rectangular prism will have a volume of 2 \(*\) 4 \(*\) 9
2 \(*\) 4 \(*\) 9 = 8( 9 ) = 72 cubic units
Solution : 72 unit cubes
pls help gsoehehsjbsgshsjbsfeoanevshksnevehwknsbdgsknwbsgdindvegshsn
Answer:
a) 5.9
b) 4.2
Step-by-step explanation:
Plot the data points on the number line (see attached).
Part (a)
\(\begin{aligned}\textsf{Distance between Ben and Kloee} & = \sf \left| Ben - Kloee \right|\\& = \sf \left|-2.65-3\frac{1}{4}\right|\\& = \sf \left|-2.65-3.25\right|\\& = \sf \left|-5.9\right|\\& = \sf 5.9\end{aligned}\)
Part (b)
\(\begin{aligned}\textsf{Distance between Middle school and Football field} & = \sf \left| Middle\:school-Football\:field\right|\\& = \sf \left| 1.5-5.7\right|\\& = \sf \left| -4.2 \right|\\& = \sf 4.2\end{aligned}\)
A marketing program integrates the ______ to provide a good, service, or idea to prospective buyers.
A marketing program integrates the Marketing mix to provide a good, service, or idea to prospective buyers.
The idea of the marketing mix is crucial to marketing theory. But explaining the idea and actually using it are two different things. Executives may use the marketing mix to make sure all aspects of their program are taken into account in a straightforward yet methodical approach.
By briefly summarizing the target market group and the components of the mix, one may sum up the core of practically any marketing plan. A marketing program is the umbrella term for the range of actions made by a business to boost sales. Every company must take this important step to make sure that their marketing initiatives are successful and meet their targeted marketing goals.
Learn more about Service here:
https://brainly.com/question/24553900
#SPJ4
how to find square root
Finding the square root of non-perfect square numbers typically results in an irrational number, which has a non-repeating and non-terminating decimal representation.
Finding the square root of a number involves determining the value that, when multiplied by itself, gives the original number. Here are a few methods to find the square root:
Prime Factorization: This method involves breaking down the number into its prime factors. Pair the factors in groups of two, and take one factor from each pair. Multiply these selected factors to find the square root. For example, to find the square root of 36, the prime factors are 2 * 2 * 3 * 3. Taking one factor from each pair (2 * 3), we get 6, which is the square root of 36.
Estimation: Approximate the square root using estimation techniques. Find the perfect square closest to the number you want to find the square root of and estimate the value in between. Refine the estimate using successive approximations if needed. For example, to find the square root of 23, we know that the square root of 25 is 5. Therefore, the square root of 23 will be slightly less than 5.
Using a Calculator: Most calculators have a square root function. Simply input the number and use the square root function to obtain the result.
It's important to note that finding the square root of non-perfect square numbers typically results in an irrational number, which has a non-repeating and non-terminating decimal representation.
For more questions on square root
https://brainly.com/question/31609540
#SPJ8
(1 ÷ 2 3 ⁄ 4 ) + (1 ÷ 3 1 ⁄ 2 ) = _____.
Answer:
50/77
Step-by-step explanation:
(1÷2 3/4)+(1÷3 1/2)
2 3/4 is same as 11/44
1/2 is same as 7/2
so to divide fraction you have to flip the second number and multiply
so 1 times 4/11=4/11
and 1 times 2/7=2/7
4/11 +2/7=28/77+22/77=50/77
True or False: For a given mass of rising air, the dry adiabatic rate will always be higher than the wet adiabatic rate.
Answer:
true
Step-by-step explanation:
because there's less humidity
Help what is the slope of the line?
9514 1404 393
Answer:
8/5 = 1.6
Step-by-step explanation:
It looks like the line crosses grid points (-4, -4) and (1, 4). This means the slope is ...
m = (y2 -y1)/(x2 -x1)
m = (4 -(-4))/(1 -(-4)) = 8/5 = 1.6
The slope of the line seems to be about 8/5, or 1.6.