Which equation has a vertex at (3, –2) and directrix of y = 0?
y + 2 = StartFraction 1 Over 8 EndFraction (x minus 3) squared
y + 2 = 8 (x minus 3) squared
y + 2 = negative StartFraction 1 Over 8 EndFraction (x minus 3) squared
y + 2 = negative 8 (x minus 3) squared

Answers

Answer 1

The equation that has a vertex at (3, -2) and a directrix of y = 0 is:

y + 2 = -1/8(x - 3)^2

The vertex form of a quadratic equation is given by y = a(x - h)^2 + k, where (h, k) represents the vertex of the parabola.

In this case, the given vertex is (3, -2), so we have h = 3 and k = -2. Plugging these values into the vertex form, we get:

y = a(x - 3)^2 - 2

Since the directrix is y = 0, we know that the parabola opens downward. Therefore, the coefficient 'a' must be negative.

Hence, the equation that satisfies these conditions is:

y + 2 = -1/8(x - 3)^2

To learn more about squared

brainly.com/question/14198272

#SPJ11


Related Questions

Use synthetic division to evaluate (2x2 − 7x + 5) ÷ (x − 1).


1. 2x - 9

2. 2x - 5

3. 2x^2 - 5x

4. 2x^2 - 10

Answers

2. 2x-5 is the correct answer

The table shows the costs
for 2, 3, 4, and 5 vegetable
seed packets. What is the
unit rate?

Answers

1 seed packet = $1.50



Answers:

2 seed packets=$3.00
3 seed packets= $4.50
4 seed packets= $6.00
5 seed packets= $7.50

Working together, Daniel and Donnie can clean the llama pen in 45 minutes. On his own, Daniel can clean the pen in an hour. How long does it take Donnie to clean the llama pen on his own?

Answers

Answer:

It takes him 15 minutes.

Step-by-step explanation:

Donnie clean the llama pen in 180 minutes on his own.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Daniel and Donnie can clean the llama pen in 45 minutes.

And, On his own, Daniel can clean the pen in an hour.

Now,

Let time to clean the llama pen in on his own = x minutes.

Since, Daniel and Donnie can clean the llama pen in 45 minutes.

So, In 1 minute, Daniel and Donnie clean the pen = 1/45

And, In 1 minute Daniel to work = 1/60

Thus, We can formulate;

1/x + 1/60 = 1/45

Solve for x as;

(60 + x) / 60x = 1/45

60 + x = 60x / 45

60 + x = 4x/3

180 + 3x = 4x

180 = 4x - 3x

180 = x

Thus, Donnie clean the llama pen in 180 minutes on his own.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ5

At midnight, the temperature in Escondido was 68 degrees. The temperature was dropping at a steady rate of 2 degrees per hour. After how many hours was the temperature colder than -4 degrees?

Answers

Answer:

72 hours

Step-by-step explanation:

Answer: 34 hours

Step-by-step explanation: 68 divided by 34 is 2 and thats the rate the temperature is dropping.

"In a randomized controlled trial, insecticide-treated bednets were tested as a way to reduce malaria. Among 320 infants using bednets, 10 developed malaria. Among 279 infants not using bednets, 24 developed malaria. Use a 0.01 significance level to test the claim that the incidence of malaria is lower for infants using bednets. Do the bednets appear to be effective? Conduct the hypothesis test by using the results from the given display." solve for the test statistic, p, and what is the conclusion result?

Answers

To test the claim that the incidence of malaria is lower for infants using bednets, a hypothesis test is conducted using the given data. The test statistic is calculated and compared to the critical value at a significance level of 0.01.

The null hypothesis (H0) assumes that the incidence of malaria is the same for infants using bednets and those not using bednets. The alternative hypothesis (Ha) suggests that the incidence of malaria is lower for infants using bednets.

To conduct the hypothesis test, the test statistic can be calculated using the formula:

test statistic (p) = (p1 - p2) / sqrt[(p(1 - p) / n1) + (p(1 - p) / n2)]

Where:

p1 = proportion of infants using bednets who developed malaria

p2 = proportion of infants not using bednets who developed malaria

n1 = number of infants using bednets

n2 = number of infants not using bednets

Using the given data, the test statistic is computed as:

p = (10/320) - (24/279) / sqrt[((10+24)/(320+279)) * (1 - ((10+24)/(320+279))) * ((1/320) + (1/279))]

By comparing the calculated test statistic with the critical value at a significance level of 0.01, a conclusion can be made regarding the effectiveness of bednets in reducing malaria incidence.

If the test statistic falls within the critical region (beyond the critical value), the null hypothesis is rejected in favor of the alternative hypothesis, indicating that the bednets appear to be effective in reducing malaria incidence. Conversely, if the test statistic does not fall within the critical region, there is not enough evidence to reject the null hypothesis, suggesting that the bednets may not be effective in reducing malaria incidence.

Learn more about test statistic (p) here:

https://brainly.com/question/30810251

#SPJ11

Martin recorded the low temperatures at his house for one week. The temperatures are shown below.
-7, -3, 4, 1, 2, 8, 7
Approximately what was the average low temperature for the week?
Α. 7
B. "1
C. 1
D "8

Answers

Answer would be 1
Add all the temperatures together. Divide the sum by the amount of temperatures are are and boom there is your answer

help please i will give brainliest to first answer

Answers

Answer:

m<ADC= 117

Step-by-step explanation:

2.
A customer went to a garden shop and bought some potting soil for $11.50 and 9 shrubs. The total bill was $94.75. Write and solve an equation to find the price of each shrub.


A. 9p + $11.50 = $94.75; p = $11.75

B. 9p + 11.5p = $94.75; p = $4.62

C. 9(p + $11.50) = $94.75; p = $5.00

D. 9p + $11.50 = $94.75; p = $9.25

Answers

Answer:

D. 9p + $11.50 = $94.75; p = $9.25

Step-by-step explanation:

To answer this problem, let p be the price of each scrub. The total bill (t) is the sum of the price of the potting soil (s) and of the 9 scrubs (n). This is depicted in the equation,

                                $11.50 + 9p = $94.75

The value of p from the equation is 9.25. Thus, each scrub costs $9.25. The answer is letter D.

...................................................................................................................................................

Let

p---------> the price of each scrub

s----------> the price of the potting soil

T--------> total bill

we know that

in this problem

substitute the values in the formula above

solve for p

therefore

the answer is the option D

calculista

Genius

19K answers

437.3M people helped

The integral [, sin(x - 2) dx is transformed into S1, g(t)dt by applying an appropriate change of variable, then g() is: g(t) = sin g(t) = cos (5) O This option O This option g(t) = -cos (3) g(t) = sin O This option

Answers

By introducing the appropriate change of variable x = t + 2, we transformed the given integral [, sin(x - 2) dx] into S1, g(t)dt = [, sin(t) dt], where g(t) = sin(t). (option a)

To transform the given integral [, sin(x - 2) dx] into the form S1, g(t)dt, we need to apply a suitable change of variable. In this case, we'll introduce a new variable, t, and express x in terms of t. Let's denote this change of variable as x = h(t), where h(t) represents the transformation of t to x.

To determine the appropriate change of variable, we can start by looking at the expression inside the sine function: x - 2. We need to find a suitable expression for x that can help us simplify the integral. Let's set x - 2 equal to t:

x - 2 = t.

Now, we solve this equation for x to express it in terms of t:

x = t + 2.

Next, we differentiate both sides of the equation x = t + 2 with respect to t to find dx/dt:

dx/dt = d(t + 2)/dt.

Differentiating t + 2 with respect to t gives us:

dx/dt = 1.

Now, we have dx/dt = 1, which means dx = dt. We can substitute this value into the original integral:

[, sin(x - 2) dx] = [, sin(t) dt].

As you can see, the original integral [, sin(x - 2) dx] has been transformed into the form [, sin(t) dt] using the appropriate change of variable x = t + 2. Therefore, the integral S1, g(t)dt is now:

S1 = [, sin(t) dt],

and g(t) = sin(t).

Hence the correct option is (a).

To know more about integral here

https://brainly.com/question/18125359

#SPJ4

hurry!!!! I need help ​

Answers

50 honestly have no clue sorry
X=50°
Because A and B side angles equal.
So x+17°=67°
So when you find the x from the problem
x=67°-17°=50°

In your answers below, for the variable λ type the word lambda; for the derivative d/dx X(x) type X' ; for the double derivative d^2/dx^2 X(x) type X''; etc. Separate variables in the following partial differential equation for u(x,t): t^2uxx+x^2uxt−x^2ut=0

Answers

The final answer of the question which is the specific form of the solution u(x, t) = X(x)T(t)

What is the quadratic equation?

The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.

To separate variables in the partial differential equation t²uxx + x²ux²t - x²zzut = 0, we assume that the solution can be written as a product of two functions, u(x, t) = X(x)T(t).

Let's begin by substituting this into the given equation:

t²(X''(x)T(t)) + x²(X(x)T'(t)) - x^2(X(x)T(t)) = 0

Now, we divide the equation by t²X(x)T(t) to separate the variables:

(X''(x) / X(x)) + (x^2 / t^2)(T'(t) / T(t)) - (x^2 / t^2) = 0

Next, we rearrange the terms:

(X''(x) / X(x)) + ((x² / t²)(T'(t) / T(t))) - (x² / t²) = 0

To satisfy this equation for all x and t, the left-hand side and the right-hand side must be equal to a constant value. Let's call this constant -λ^2:

(X''(x) / X(x)) + ((x² / t²)(T'(t) / T(t))) - (x² / t²) = -λ²

Now, we have two separate ordinary differential equations:

1. X''(x) / X(x) - x² / t² = -λ²

2. T'(t) / T(t) = λ²

Solving each equation separately will give us the general solutions for X(x) and T(t).

The general solution for u(x, t) can then be obtained by taking the product of X(x) and T(t):

u(x, t) = X(x)T(t)

The specific form of the solutions will depend on the boundary conditions or initial conditions given for the problem.

Hence, the final answer of the question which is the specific form of the solution u(x, t) = X(x)T(t)

To learn more about the quadratic equation visit:

brainly.com/question/28038123

#SPJ4

Which is the solution to the equation solved for p? (q + p)q = (s + r)s

Answers

Answer:

Option B

Step-by-step explanation:

[tex](q + p)q = (s + r)s[/tex]

Lets open the brackets of L.H.S.

[tex]=> q^2 + pq = (s+ r)s[/tex]

Lets substract q² from both the sides.

[tex]=> q^2 + pq - q^2 = (s + r)s - q^2[/tex]

[tex]=> pq = (s + r)s - q^2[/tex]

Lets divide both the sides by q.

[tex]=> \frac{pq}{q} = \frac{(s + r)s - q^2}{q}[/tex]

[tex]=> p = \frac{(s + r)s }{q} - \frac{q^2}{q} = \frac{(s + r)s}{q} - q[/tex]

Express the confidence interval (0.069.0.159) in the form of p-E

Answers

the confidence interval (0.069, 0.159) can be expressed as 0.114 ± 0.045

In a confidence interval, the lower bound represents the point estimate minus the margin of error, and the upper bound represents the point estimate plus the margin of error. In this case, the lower bound of the confidence interval is 0.069 and the upper bound is 0.159. To express it in the form of p ± E, we need to find the point estimate and the margin of error.

The point estimate, p, is the average or central value of the interval. In this case, it would be the midpoint between the lower and upper bounds:

p = (0.069 + 0.159) / 2 = 0.114

The margin of error, E, can be calculated by taking half the difference between the upper and lower bounds:

E = (0.159 - 0.069) / 2 = 0.045

Therefore, the confidence interval (0.069, 0.159) can be expressed as 0.114 ± 0.045.

Learn more about confidence interval here:

https://brainly.com/question/32546207

#SPJ11

50% of x is 19. *reamber is means divide*​

Answers

Answer:

9.5

Step-by-step explanation:

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided The top five test scores in Mr. Rhodes's class were 98, 92, 96, 97, and 97. What is the mean absolute deviation?​

Answers

Step-by-step explanation:

mad = 98 + 92 + 96 + 97 + 97 / 5

= 480/5

= 96

mad = (98 -96) + (92 - 96) + (96 -96) + (97- 96) + (97 -96) / 5

= 2 + (-4) + 0 + 1 + 1 / 5

=0/5

mad = 0

brainliest is appreciated

Answer:

1.6

Step-by-step explanation:

To find the mean absolute deviation of the data, start by finding the mean of the data set. Find the sum of the data values, and divide the sum by the number of data values. Find the absolute value of the difference between each data value and the mean: |data value – mean|.

98+92+96+97+97=480

480/5 values=96 is the mean or average of the set of numbers

so we just find the absolute value of the data value minus the mean.

For the first one it would be |98-96|=2

then continue on and get a set of values

{2,4,0,1,1}

now find the average of that to get the mean absolute deviation

2+4+0+1+1=8

8/5 values

1.6

Hope that helps :)

can anyone help me with this question?

Answers

Answer:

45 and 13…......

Step-by-step explanation:

devide

The table below shows the relationship between the number of teaspoons of baking powder in a mix and the height of fudge brownies in centimeters. Which equation represents the height of fudge brownies with x teaspoons of baking powder?

Making Fudge Brownies
Baking Powder (tsp) 5 6 7 8
Height of Brownies (cm) 2.15 2.43 2.71 2.99
A.
y = 0.28x + 0.75
B.
y = 0.75x +0.56
C.
y = 0.75x + 0.28
D.
y = 0.56x + 0.75

Answers

Answer:

A.

y = 0.28x + 0.75

Step-by-step explanation:

Check all that applies using teaspoons of baking powder, x = 5

A.

y = 0.28x + 0.75

When x = 5

y = 0.28x + 0.75

= 0.28(5) + 0.75

= 1.4 + 0.75

y = 2.15

B.

y = 0.75x +0.56

When x = 5

y = 0.75x +0.56

= 0.75(5) + 0.56

= 3.75 + 0.56

= 4.31

C.

y = 0.75x + 0.28

When x = 5

y = 0.75x + 0.28

= 0.75(5) + 0.28

= 3.75 + 0.28

= 4.03

D.

y = 0.56x + 0.75

When x = 5

y = 0.56x + 0.75

= 0.56(5) + 0.75

= 2.8 + 0.75

= 3.55

The equation represents the height of fudge brownies with x teaspoons of baking powder is

y = 0.28x + 0.75

Write the equation of the circle.
Circle C that passes through (-5, 1) with center C(1,-4).

Answers

Answer:

answer is on this page

Step-by-step explanation:

https://www.mathpapa.com/algebra-calculator.html

Find the surface area of the square pyramid shown below.

(15 points)

Answers

Answer:

340

Step-by-step explanation

Base=10x10=100

Sides= {(12x10)/2}x4=240

Add sides plus base, 240+100=340

mrs chambers is 62 years old and plans to retire. over her life she earned an average of $2,500 per month after adjusting for inflation the formula for calculating the full monthly social security benefits is 90% of the first $680 earned the 32% of the earnings over $680 what will her monthly benefit be if her full retirement benefit is reduced by 30% for retiring at 62 years old

Answers

Answer: 60

Step-by-step explanation:

rectangle has its vertices at M(1,1), N(6,1), O(6,5), P(1,5). The rectangle is translated to the left 4 units and down 3 units. What are the new coordinates? (Answer Format: M(#,#) N(#,#) O(#,#) P(#,#))

Answers

Answer:

7aabbbjdkdbdjdkxbsks n sbs

Jsksbakabkabdvdiavsjwkdbsbq

The measures of the angles of a triangle are in the extended ratio 7:14:15.
Find the measures of the angles of the triangle.
Please i need help

Answers

Can you post a picture?

It would make it so much easier.

1. A cooler is in the shape of a rectangular
prism. What is the volume of the cooler?
Round to the nearest tenth if necessary.
I

Answers

Answer:

what is the answerrrrrrrrrrrrrrrrr

Step-by-step explanation:

The volume of the cooler is 2772 in³

What is a volume?

Volume is the amount of space taken up by an object

What is the volume of a rectangle?

The formula for calculating the volume of a rectangular prism is volume = length × width × height.

According to the question

Length= 22in.

breadth= 12 in.

width= 10 1/2  in. or 21/2 in.

So, the volume= 22× 12× (21/2)

                        =2772 in³

Thus the volume of a rectangular prism is 2772 in³

To check more about rectangular prism click here

https://brainly.com/question/21308855

#SPJ2

A recipe calls for 1/3 of a cup of butter. If Matthew is making 1/4 of the recipe, how much butter should he use?

Answers

Answer:

1/12 a cup

Step-by-step explanation:

1/3*1/4=1/12

Answer:

1/12

Step-by-step explanation:

1/3*1/4=1/12

Estimate the answers of these:
1. 489+1210
2. 3694-2016
3. 5082×312
4. 761÷34​

Answers

nana xbox ksnsnsnmakam 6

240g in the ratio 5:3:2​

Answers

Answer:

120:72:48

Step-by-step explanation:

Remark

Whatever the answer is (call it x to begin with), the equation starts as

5x + 3x + 2x = 240

What this means is that when you solve for x the results when multiplied by the ratio, should add to 240

Equation

5x + 3x + 2x = 240

Solution

Combine all the terms on the left.

10x = 240                    Divide by 10

x = 240/10

x = 24

Check

5*24 = 1203*24 =  722*24 =  48Total = 240

Jada makes sparkling juice by mixing 3 cups sparkling water with 5 cups apple juice. a. How much sparkling water does Jada need if she uses 30 cups of apple juice? b. How much apple juice does Jada need if she uses 9 cups sparkling water?

Answers

Answer:

(A) 22

(B) 12

Step-by-step explanation:

Jada makes sparkling juice by mixing 3 cups of sparkling water and 5 cups of Apple juice

(A) Jada uses 30 cups of Apple juice,the amount of sparkling water needed is

3+5

= 8

30-8

= 22

(B) 9+3

= 12

a little help pls this old i don't remember any of it

Answers

Answer:

Bowling ball

Step-by-step explanation:

A bowling ball has much more mass than all three of the other choices and the amount of kinetic energy is determined based on a object's mass and velocity, but in this case, all 4 balls are traveling at the same velocity. Therefore, we know that the bowling ball has much more mass so therefore it has the most kinetic energy.  

can y'all help me pls ​

Answers

Answer:

The change in delta x would be 0 in the second option because the change is exactly the same.

answer above^^ what the person said

a dice was rolled 60 times what is the probability of rolling a 3

Answers

Answer: 2/15

Step-by-step explanation:

Experimental probability is the actual results of the experiment (not what should have happened, which is theoretical probability.

A 3 was rolled 8 times, so the results are 8/60=4/30=2/15

Other Questions
Four parallel-plate capacitors are constructed using square plates, and each has a dielectric inserted between the plates.Rank the capacitance of each capacitor in order from highest to lowest.Using (C) = (0A)/d the decibel level of sound is 50 db greater on a busy street than in a quiet room where the intensity of sound is 10^-10 watt/m2.the level of sound in the quiet room is ____ dB, and the intensity of sound in the busy street is ____ watt/m^2. Use the formula = 10log(I/Io) , where is the sound level in decibels, l is the intensity of sound, and Io is the smallest sound intensity that can be heard by the human ear (roughly equal to 1x10^-12 watts/m^2) 8. How is the relationship between the operations manager and the sales staff different from the relationship between a project manager and the project team members? briefly describe your healthcare organization, including its culture and readiness for change "Cross-border mergers and acquisitions can be a source of significant value creation and can provide attractive opportunities for multinational corporations (MNCs). MNCs should therefore be actively encouraged to pursue them."Question 1: Discuss the statement above. Magee Corporation provided the following summary balance sheet information: Dec.31,20X1 Dec.31,20X2 Total assets $1,500,000 $2,300,000 Total liabilities 700,000 1,400,000 Compute net income for the year ending December 31,20X2,under each of the following independen scenarios: (a) Magee paid no dividends,and no additional capital was raised via share issuances. (b) Magee paid $100,000 in dividends,and no additional capital was raised via share issuances (c) Magee paid no dividends,but raised $250,000 via issuances of additional shares of stock (d) Magee paid $100000 in dividends,andraised $250,000via issuances of additional shares of stok. For a cach of the following draw the probability distribution a) A spinner with equal sector is to be spus. Determine the probability of each different outcome and then graph the results on a single Cartese plase (Uniform) b) The probability of Simon hitting a home is 0:34 Simon is expected to boto times. (Binomial) executive order 12656, assignment of emergency preparedness responsibilities, delegates dod to do what? briefly define the cache memory. (b) with a schematic diagram, explain how data is transferred (i) between the main memory and cache and (ii) between cache and cpu. Explain why noncooperation is a dominant strategy in theprisoners dilemma.Explain how repeated play can enable cooperation Each guidance system of a rocket works correctly with probability p. Independent but identical backup to the rocket guidance systems are installed so that the probability of correct operation of the guidance system is greater than 0.99. be provided. .Let's denote the number of guidance systems in the rocket with n. If p=0.9, at least one motive How large must n be for the system to work.. Parker Lane Cafe has a quick ratio of 4:1, $160,000 in cash, $380,000 in inventory, and $40,000 in accounts receivable. What are its current liabilities? a. $50,000 b. $580,000 c. $40,000 d. $25,000 Problem 9-23 Using the Student t distribution, find the critical upper-tail values for the following tail areas: (a) alpha-,1 df 6 (b) alpha-.0005 df-30 Carefully sketch (and shade) the (finite) region R in the first quadrant which is bounded above by the (inverted) parabola y +(6 -x ), bounded on the right by the straight line r = 3, and is bounded below by the horizontal straight line y=5. An airline has 81% of its flights depart on schedule. It has 69% of its flights depart and arrive on schedule. Find the probability that a flight that departs on schedule also arrives on schedule. Round the answer to two decimal places. a. 1.25 b. 0.85 c. 0.45 d. 0.43 Find the Laplace Transform of f(t):f(t) 0, -t, 0, = fx = t< t < 2 t> 2 LetS be the annual sales (in millons) for a particlular electronicitem. The value of S is 54.8 for 2007. What does S=54.8 mean inthis Situation which of the following is an example of clinical data? a. lab results b. financial data c. advance directive d. consents for treatment Using the Laplace Transform table, or otherwise, find f(t) = (1 ((s+2) -4) f(t) = 47 (b) Hence, find A and B that satisfy g(t) = C-1 ) cs (s+2)4 = u(t - A)f(t - B) A Number B= Number (c) Calculate g(t) for t = -5.2, -4.6,-4.2. Give your answers to 2 significant figures. 9(-5.2) =___ Number g(-4.6) = ___ Number g(-4.2) =___ Governments may use protectionist policies to ________.?A. Increase political powerB. protect domestic jobsC. lower incomes of producers