passes through (0, -5) and has vertex (-1, 4)

Answers

Answer 1

The equation of the parabola that passes through (0, -5) and has a vertex at (-1, 4) will be y = -9(x + 1)² + 4.

What is the equation of the parabola?

Let the point (h, k) be the vertex of the parabola and a be the leading coefficient.

Then the equation of the parabola will be given as,

y = a(x - h)² + k

The vertex of the parabola is at (-1, 4). Then the equation is given as,

y = a(x + 1)² + 4

The equation passes through (0, -5), then we have

y = a(x + 1)² + 4

-5 = a(0 + 1)² + 4

-5 = a + 4

a = -9

Then the equation of the parabola that passes through (0, -5) and has a vertex at (-1, 4) will be y = -9(x + 1)² + 4

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Related Questions

Work out the tax increase on this question!!! Please help

Answers

Sales Tax added to the cost of the computer is 178.34 pounds

What is sales tax?

Sales tax is a tax imposed by the government on the price of a commodity for the sale of that commodity. Imposing sales tax on a product increases the price of the product. Nowadays, sales tax has been replaced by Goods and Service Tax (GST).

Here, sales tax is added to increase the price of the computer.

Cost of a computer = 964 pounds

Rate of tax added = 18.5 %

Tax added = [tex]\frac{18.5}{100} \times 964[/tex]

                  = 178.34 pounds

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the registration fee for a car is 0.9% of the sale price of 5400$ how much is the fee

Answers

The registration fee is $60.

Given,

Sale Price = $5400

The value of the registration:

Registration fee = 0.9% of $5,400

                          = (0.9/100) * 5,400

                          = 60

Therefore, the registration fee is $60.

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The number of students who are active in the computer club has jumped from 7 to 19. To the nearest percent, what is the percent increase?

Answers

The answer is 171% because it increased more than 7 it is 100% or more, since it increased 12 times it is 171 percent.

Given (x – 7)2 = 36, select the values of x. x = 13 x = 1 x = –29 x = 42

Answers

Answer: x = 25

Step-by-step explanation:

(x-7) = 36/2

x-7 = 18

x = 18 +7

x = 25

Answer: x = 1 and x = 13.

Step-by-step explanation: To solve the equation (x - 7)^2 = 36, we can first rewrite the equation as x^2 - 14x + 49 = 36.

Next, we can rewrite the equation as x^2 - 14x + 13 = 0.

To solve for x, we can then use the quadratic formula:

x = (-b +/- sqrt(b^2 - 4ac)) / (2a)

where a = 1, b = -14, and c = 13.

Substituting these values into the formula, we get:

x = (14 +/- sqrt(14^2 - 4(1)(13))) / 2

x = (14 +/- sqrt(196 - 52)) / 2

x = (14 +/- sqrt(144)) / 2

x = (14 +/- 12) / 2

The values of x are therefore 1 and 13.

Therefore, the correct answer is x = 1 and x = 13.

7. A watch loses 8 seconds every hour. It was set to read the correct time at 1100 h on Sunday. Determine the time, in a 12-hour system, the watch will show on the following Thursday when the correct time is 0500 h. ​

Answers

On Thursday when the correct time is 5:00h, watch shows 4:24h.

What is ratio?

Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

The watch is set at 11:00 h on Sunday.

Also, the watch loses 8 seconds in every hour.

To determine the time in watch on Thursday,

In one day total hours = 24 hours.

from Sunday 11:00 to Thursday 11:00

Total hours = 24 x 4 = 96 hours

And 11:00 to 5:00, total = 6 hours

Total hours = 96 + 6 = 102 hours

Since, watch loses 8 seconds in 1 hour

So in 102 hours watch losses = 102 x 8 = 816 seconds

816 seconds = 816/60 minutes = 13.6 minutes

The watch loses 13.6 minutes in 102 hours.

So the exact time will be, 4 : 24.

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P(x) = 6x³-5x² - 4x + 4;-3

Answers

The value of P(-3) =-191 if the given polynomial function is

P(x) = 6x³-5x² - 4x + 4

What is meant by polynomial?

A polynomial is an expression made up of exponents, constants, and variables that are combined using addition, subtraction, multiplication, and division in mathematics, according to the definition of a polynomial. Polynomials are frequently employed in both mathematics and science. For example, they are employed to define polynomial functions, which are present in a range of fields ranging from elementary physics and chemistry to economics and social science. From straightforward word problems to intricate scientific conundrums, polynomial equations are utilized to represent a broad variety of topics. In high mathematics, polynomials are used to build algebraic varieties and polynomial rings, which are essential concepts in algebra and algebraic geometry.

Given,

P(x)= 6x³-5x²-4x+4

P(-3)=6(-3)³-5(-3)²-4(-3)+4

=6(-27)-5(9)+12+4

=-162-45+16

=-191

So, the value of P(-3)= -191

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what is x + 5x -6 < 12?

Answers

Answer:

x<3

Step-by-step explanation:

;)

find the value of unknown; chapter matrices

please help me out on these questions below! thnak u
with full explanations and working please

Answers

Answer:

Step-by-step explanation:

COLVE IT PLSS HELP WILL GIVE BRAINLIEST IF THE ANSWER IS RIGHT!

Answers

Answer:

degree 5monomial

Step-by-step explanation:

You want to know if 5x²y²z +10x²y²z is monomial, binomial, or trinomial, and what its degree is.

Degree

The degree of a term is the sum of the degrees of the variables in the term:

  degree = 2 + 2 + 1 = 5

Terms

Two terms are shown. However, the terms are like terms, so can be combined into one term:

  15x²y²z

This tells us the expression is a monomial.

__

Additional comment

The terms of a binomial must be unlike. That is, they don't count as separate terms if they can be combined.

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Solve the problem using an equation and check the solution.

1. Bank teller Darrin Wentworth counted a deposit with 72 five-, ten- and one-hundred-dollar bills. After counting, Darrin found that the value of the bills was $3,500. He noticed that there was an equal number of five- and ten-dollar bills. How many of each bill was in the deposit?​

Answers

Answer:

Step-by-step explanation:

20 5 dollar

20 10 dollar

32 hundred dollar

What is the domain and range 5,0, 12,4, 3,-3

Answers

Answer:

domain=5,12,3

range=0,4,-3

what is the estimated expected (mean) time for activity e? multiple choice 91 days 100 days 99 days 101 days 115 days

Answers

The estimate expected mean time for the given activity E from the give table data is equal to 101days.

As given in the question,

Let optimistic time be represented by [tex]T_{o}[/tex]

Most like time be represented by [tex]T_{m}[/tex]

And Pessimistic time be represented by [tex]T_{p}[/tex]

Optimistic time for activity E is equal to  [tex]T_{o}[/tex] = 91

Most likely time for activity E is [tex]T_{m}[/tex] = 100

Ans Pessimistic time for activity E is [tex]T_{p}[/tex] = 115

Estimated expected mean time

= [tex]( T_{o} + 4T_{m} + T_{p} ) / 6[/tex]

= [ 91 + 4(100) + 115 ] / 6

= 606/6

= 101

Therefore, option d. 101days represents the estimated expected mean time for the given activity E.

The complete question is:

From the given table:

                                                         { Time estimates (days)}

Activity   Predecessor             Optimistic       Most likely       Pessimistic

A              A, B, C                         30                   50                          62

B                  D                              90                    99                        108

C                  E                              85                   105                         115

D                  End                         19                      25                         31

E                    F                             91                     100                        115

F                   End                          62                    65                          68

What is the estimated expected (mean) time for activity E?

Multiple choice

a. 91 days        b. 100 days          c.  99 days       d. 101 days        e.115 days

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Help and wright a step by step explanations

Answers

Answer:

The total surface area is 3860 ft^2

The total volume is 22,500 ft^3

Step-by-step explanation:

See attached worksheet.

The house needs to be broken up into separate rectangles and triangles, as shown on the worksheet.  Individual calculations of the area and volume are then added for a total number for both volume and surface area.

Quick question, how would you answer if someone tells you : "keep dreaming :)"

Answers

If someone tells me "keep dreaming :)", I would likely respond by thanking them for their encouragement and expressing my determination to continue pursuing my dreams. I might also share some of my aspirations and plans for achieving them, and encourage the other person to do the same. Depending on the context and tone of the conversation, I might also make a joke or offer a playful response, such as "I will, and I'll make sure to dream big!"

What is the equation of the vertical asymptote for the graph of the rational function g(x)=6x−1

Answers

Solution n(x), where n(x) is the denominator of the function (notice that this only works if t(x) is not zero for the same value of x).When the denominator is equal to zero, you can solve for x to determine the vertical asymptotes.

How can you locate the graphing formula for a vertical asymptote?By finding the solution to the equation n(x) = 0, where n(x) is the denominator of the function (note that this only works if the numerator t(x) is not zero for the same x value), vertical asymptotes can be obtained. For the function, locate its asymptotes. With the equation x = 1, the graph has a vertical asymptote.When the denominator is equal to zero, you can solve for x to determine the vertical asymptotes. This has previously been factored, therefore reduce each component to zero and get the solution. Since the asymptotes are lines, they are represented mathematically by line equations. X = 3 and X = 1 are the vertical asymptotes.      

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You use a garden hose to fill a wading pool. if the water level rises 17 centimeters every 5 minutes and you record the data point of (15, y), what is the value of y? use slope to justify your answer.

Answers

The line has a 17/5 slope and y has a value of 51 which will be (15, 51).

What is the slope?

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.

The general equation for every straight line is y = MX + c, where m is the gradient (or degree of steepness) of the line and c is the y-intercept (the point in which the line crosses the y -axis).

So, the water level rises by 17 cm in 5 minutes.

Then in 15  minutes, the water will rise by:

15 * 17/5

3*17

51

Then (x, y) will be (15, 51).

Obtaining the slope as follows:

Formula: m = y1 - y2/x1 - x2

m = y2 - y1/x2 - x1

m = 17  - y/5 - x

m = 17/5

Therefore, the line has a 17/5 slope and y has a value of 51 which will be (15, 51).

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what is the answer i need answers now I'm going to fail

Answers

Answer:

3

Step-by-step explanation:

this problem we need to subtract

There is 6 1/2 grape juice and 3 1/3 orange juice

6 1/2 3 1/3

We get common denominators and one is 6

6 3/6 3 2/6

And now we subtract

3 1/6

And rounded down is 3

Hopes this helps please mark brainliest

An item is regularly priced at $81. Shen bought it on sale for 45% off the regular price
Use the ALEKS calculator to find how much Shen paid.

Answers

For this problem there are $44.55 Shen paid.

What is sale price?

The cost following a discount applied to the original cost. This item is being sold for $8.00. We must first calculate the discount amount if the discount is a percentage: • Original price x discount rate equals the discount amount.

Given:

An item is regularly priced at $81.

Shen bought it on sale for 45% off the regular price.

The formula for calculating the sales price of an item is:

s = p - (p x d)

Where:

s is the sales price: what we are calculating in this problem.

p is the regular price of the item: $81 for this problem.

d is the discount rate: 45% for this problem. "Percent" or "%" means "out of 100" or "per 100", Therefore 45% can be written as  45/100.

Substituting and calculating  s gives:

[tex]s = 81 - (81 *\frac{45}{100}) \\s = 81 - (36.45)\\s = 44.55[/tex]

s = $44.55

Hence, for this problem there are $44.55 Shen paid.

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Simplify: 22-(8-2) + [6 (205) - 11]​

Answers

Answer: 1,235 is your final answer!

Step-by-step explanation:

First we do what's inside the Parentheses always remember PEMDAS

P-Parentheses

E-Exponent

M-Multiplication

A-Addition

S-Subtraction

So first we do what's inside the brackets!

22-(8-2)+ (1230-11)

22-6+1219

16+1219

1235.

Follow the PEMDAS steps to simplify the answer!

Well 22-6+(1230-11) would then equal to 22-6+1219 which equals. 1,335

A man walked a certain distance at a constant rate. If he had gone 1/2 mile per hour faster, he would have walked the distance in four-fifths the time; if he had gone 1/2 mile per hour slower, he would have been 2 1/2 hours longer on the road. How far did he walk?

Answers

Answer:

15

Step-by-step explanation:

15

He walked 15

Using elimination to solve the system of equations.

3x-5y=11
5(x+y)=5

Answers

Answer:

3x - 5y = 11

5(x + y) = 5

Expand the second equation:

5x + 5y = 5

Add both equations:

3x - 5y = 11

5x + 5y = 5

8x = 16

Solve for x:

8x = 16

x = 2

Input x in any equation and solve for y:

3(2) - 5y = 11

6 - 5y = 11

-5y = 5

y = -1

JUSTIFY REASONING Consider the conjecture if two points are equidistant from a third point, then the three points are collinear is the
conjecture true or false? Justify your argument. If false, give a counterexample.
Select Choice if the two points create a straight angle that includes the third point, then the conjecture is Select ChoiceIf the two
points do not create a straight angle with the third point, then the conjecture is Select Choice

Answers

It is a supposition that it is true if two points are equally far apart from a third point and the three points are collinear.

Collinear points are what?

If three or more points lie on a single straight line, they are said to be collinear. An axis is a term used to describe a line on which points are located, particularly if that line is connected to a triangle or other geometric shape. Since two points determine a line, two points are trivially collinear.

Collinear points are those that are situated along a  identical straight line.

The supposition is correct since all three points are located on the same line.

if the two points create a straight angle that includes the third point, then the conjecture is true.

If the two points do not create a straight angle with the third point, then the conjecture is false.

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Irma wa in charge of keeping attendance for a local ummer camp each year. Summer camp attendance
Year Kid
2018 93
2019 92
2020 78
2021 75
2022 78
According to the table, what wa the rate of change between 2018 and 2021?

Answers

The rate of change in the attendance of students between 2018 and 2021 is 1.24.

What is the rate of change?

The term "rate of change" (ROC) describes the rate at which something changes over time.

Thus, it is not the number of individual changes themselves but rather the acceleration or deceleration of changes (i.e., the rate).

The rate of change is a tool used in finance to comprehend price returns and spot trend momentum.

Divide the change in y-values by the change in x-values to determine the average rate of change.

Identifying changes in measurable values like average speed or average velocity calls for the knowledge of the average rate of change.

So, according to the given table:

The rates of change between 2018 and 2021 are:

2018/2021

93/75

1.24

Therefore, the rate of change in the attendance of students between 2018 and 2021 is 1.24.

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how do you handle data in analytics to gain greater insights into our audience's behaviour? a partition b sample c segment d extract

Answers

By using the segment method, you handle data in analytics to gain greater insights into our audience's behavior.

Analytics:

Analytic refers the field of computer science that uses math, statistics, and machine learning to find meaningful patterns in data.

Given,

Here we need to find how do you handle data in analytics to gain greater insights into our audience's behavior.

In order to find the solution for this one, we must know the definition for the terms of the following,

Audience's behavior - attitudes that affect the behavior of an audience towards a brand or category.

Data - information that has been translated into a form that is efficient for movement or processing.

Insights - the capacity to gain an accurate and deep understanding of someone or something.

Here we have divide the full question into segment to solve this.

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whenever a probability sample is drawn from a population, it is not enough to simply report the sample's descriptive statistics, for these measures contain a certain degree of error due to the sampling process. true false

Answers

Whenever a probability sample is drawn from a population, it is not enough to simply report the sample's descriptive statistics, for these measures contain a certain degree of error due to the sampling process.

Thus the answer is ‘ true’.

A population is any entire group that has at least one trait in common that is relevant to a given issue or experiment in statistics.

A probability sample is one that is drawn using a method of random selection that is compatible with the known odds for each member of the population to be selected, and that takes these probabilities into account when generating estimates from the sample.

If the chosen sample does not accurately reflect the total population of data, there has been a sampling error, which is a statistical error resulting from sampling.

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Graph the equation
-Show your work

Answers

The graph of the equation, y = -50x + 300, is given in the attachment below.

How to Graph the Equation of a Line?

The equation of a line, where m is the slope or unit rate, and b is the y-intercept or starting value, is expressed as y = mx + b in the slope-intercept form.

Given the situation above, first determine the value of the starting value / y-intercept (b) and that of the slope / unit rate (m).

The starting value / y-intercept is b = 300.

The slope / unit rate is m =  - 50 [this is negative because the distance from home reduces as she drives at the speed of 50 mph]

To write the equation, substitute m = -50 and b = 300 into y = mx + b:

y = -50x + 300.

Thus, the graph of this equation, y = -50x + 300 is shown in the mage attached below.

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A dolphin swims 465,280 feet in 3 hours. Use the formula d = rt, where d represents distance, r represents rate, and t represents time, to answer the following questions. Show your work.

Answers

Using distance, rate and time the answer is 155093.3.

What is distance?

Distance is the total movement of an object without any regrad to direction. It is the length of the space between two points .

Given question are-

D=rt where d represent distance.

R represent= Rate

T represents= Time

Based on the given conditions formulate :

A dolphin swims= 465,280

Time = 3hour

=465280/3

Evaluate the expression/equation we can get -

155093.3

Thus the answer is

155093.3

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6) A TV and external speakers cost $1,020. The cost of the TV is double that of the speakers.
How much do the TV and the speakers cost? Show your work.

Answers

the tv would cost $680 and the speakers would cost $340

we start with 1020, and it is split into three groups of 340. if the tv is double the speakers then 340 doubled is 680. 340+680=1020.

Find the slope of the line that passes through (-21, -47) and (-15,-44).

Answers

The slope of the line is  1/2 or 0.5

What is slope of a line ?

The slope of a line characterizes the direction of a line.

To find the slope of a line when the coordinates of the two points are given  you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points .

Thus if

A ( x1, y1)  and B( x2, y2)

The slope of the line is  y2 - y1 / x2-x1

Calculations

Given ;

A ( -21, -47)

B(-15, -44)

slope = 3/6

           =1/2 or 0.5

The slope of the line is 1/2 or 0.5

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3w^2-12w=-12
use quadratic formula to solve

Answers

Answer:

To solve the quadratic equation 3w^2 - 12w = -12, we can use the quadratic formula:

x = (-b +/- sqrt(b^2 - 4ac)) / (2a)

In this case, a = 3, b = -12, and c = -12. Plugging these values into the formula, we get:

w = (-(-12) +/- sqrt((-12)^2 - 43(-12))) / (2*3)

Simplifying, we get:

w = (12 +/- sqrt(144 + 144)) / 6

w = (12 +/- sqrt(288)) / 6

w = (12 +/- sqrt(288)) / 6

w = (12 +/- 16.97) / 6

w = (12 +/- 16.97) / 6

w = 28.97/6 or -4.97/6

w = 4.828 or -0.828

Therefore, the solutions to the equation 3w^2 - 12w = -12 are w = 4.828 and w = -0.828.

Answer:

w = 2

Step-by-step explanation:

[tex]3w^{2} -12w=-12\\3w^{2} -12w+12 = 0\\[/tex]

[tex]\frac{-b + \sqrt{b^{2} - 4ac} }{2a}[/tex]

[tex]\frac{-(-12) + \sqrt{(-12)^{2} - 4(3)(12) } }{2(3)} = 2[/tex]

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