For the​ function, the vertex of the​ function's graph is given. Find the unknown coefficients.
y=[tex]x^{2}[/tex]+bx+c; (3,-5)

Answers

Answer 1

The unknown coefficients will be b = -2/3   and  c = -12

Vertex of a graph is a point where two lines meet in a parabola.

It is represented as ( h , k ) = ( -2a / b , f( -2a / b) )

Vertex is given to us in the question as (3 , -5)

Also coefficient of [tex]x^{2}[/tex] is given to us as 1

Now by putting values of 'a' and vertex in the vertex formula we get

3 = -2a / b

b = -2/3

Now put value of b in y = [tex]x^{2}[/tex] + bx + c

b = -2/3

As we know that vertex (3 , -5) are points on parabola for the given function we will replace it with x and y respectively

x = 3

y = -5

-5 = [tex]3^{2}[/tex] + ( -2/3 ) * 3 + c

-5 = 9 - 2 + c

c = -12

Therefore b = -2/3 and c = -12.

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Related Questions

The position, d, in metres of an object in motion as it travels is given by:

d=(t+1)(t + 0.5)

t is the time in seconds.

this is an equation of motion.

by looking at it, we can learn about how the object started moving.

first, expand the brackets.

(answer here which i don't know and i'm confused about)

the initial velocity is the coefficient of the t term.

what is the initial velocity?

(answer here which i don't know and i'm confused about)

Answers

Answer:

i need help in german its really inportain

David bought 5 of the ame ize pumpkin at the pumpkin patch for $33. 75. How much money would it be for David to buy 2 more of the ame pumpkin?

Answers

David requires $13.5 to buy 2 more pumpkins.

Firstly calculating the cost of one pumpkin and then calculating the desired answer.

Cost of one pumpkin = total cost ÷ number of pumpkins

Keep the values in formula to find the cost of one pumpkin

Cost of one pumpkin = 33.75 ÷ 5

Performing division on Right Hand Side of the equation

Cost of one pumpkin = $6.75

Now, the amount required to buy 2 more pumpkins = 2 × 6.75

Performing multiplication on Right Hand Side of the equation

The amount required = $13.5

Thus, the amount required by David is $13.5.

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Please help I don’t understand this

Answers

Answer: answer is -1

what is 5.37 divied by 3 equals explain your answer

Answers

The answer is 1.79.

What is division?

Division is breaking a number up into an equal number of parts.

Given that, 5.37 divided by 3

5.37÷3 = 1.79

Hence, 5.37 divided by 3 equals to 1.79.

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HELP ME: Rewrite _____ using a common factor. (Screenshot with question and answers below)

Answers

Rewritten equation using a common factor is (1) [tex]\frac{1}{4}xy(x^{2} +3y)[/tex].

Given equation,

[tex]\frac{1}{4}x^{3}y+\frac{3}{4}xy^{2}[/tex]

Taking  [tex]\frac{1}{4}xy[/tex]  common,

[tex]\frac{1}{4}xy(x^{2} +3y)[/tex]

Hence, the equation.

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if records indicate that 2 houses out of 1000 are expected to be damaged by fire in any year, what is the probability that a woman who owns 14 houses will have fire damage in 1 of them in a year? (round your answer to five decimal places.)

Answers

Given that there will be 14 fires in a year, there will be an expected number of fires. There are more than 1000 points available in this question. We must determine the probability that a woman owned.

In a year, a fire will harm one in 12 homes. That is, given if n is equal to 12 and that the value of x is equal to 1, the probability of x being equal to 1 is also equal to 1. Hence, due to fire damage. We discovered that the probability value p equals 0.014, and we are aware that, in general, binomial probability, or the probability that x equals x, is equal to c x, p to the power of x times q to the power of n minus x. Substituting all of these values into the formula, where q = 1 - p, gives us the value of 12 c 1, or 0.014. The total power of 1 for q is 1 minus p, or 1 minus 0.014. 11 points is the power of 12 as a whole less 1. The result of simplification is 0.143865, so Therefore, we have determined that the likelihood of one out of every twelve homes experiencing fire damage is 0.143865 percent.

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If you earn $560 for working 20 hours during the week. How much did you earn
per hour?
$560
$30
$20
$10

Answers

560 divided by 20 = 28

A video treating company offers two monthly plans. Plan A: 3$ per video viewed, plus a flat rate of 8$ per month.

Plan B: 5$ per video viewed and no additional flat rate. Write an inequality to determine when the cost of viewing n videos using Plan A is less then the cost of viewing n videos using plan B.

Inequality:

Plan A is less expensive when:

Answers

The inequality to determine when the cost of viewing n videos using

plan A is less than the cost of viewing n videos using plan B.

8 + 3n < 5n

Plan A is less expensive when n is greater than 2.

What is inequality?

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

Two monthly plans:

Plan A:

Cost per video = $3

Flat rate per month = $8

Plan B:

Cost per view = $5

Flat rate = zero

The inequality to determine when the cost of viewing n videos using

plan A is less than the cost of viewing n videos using plan B.

8 + 3n < 5n

Solving for n.

8 < 5n - 3n

8 < 2n

8/4 < n

n > 2

This means when n is greater than 2 we get,

The cost of viewing n videos using plan A is less than the cost of viewing n videos using plan B.

Thus,

The inequality to determine when the cost of viewing n videos using

plan A is less than the cost of viewing n videos using plan B.

8 + 3n < 5n

Plan A is less expensive when n is greater than 2.

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Find the gradient of the line segment between the points (-8,6) and (-10,14).

Answers

Answer:

-4

Step-by-step explanation:

gradient = (y_2 - y_1)/(x_2 - x_1)

gradient = (14 - 6)/(-10 - (-8)) = 8/(-2) = -4

Graph the equation using the point and the slope.

y-5=1/3(x-1)

Answers

Easier to have it in the form

y=mx+c

y =x/3 + 14/3

Unfortunately not whole numbers so it won't go perfect through the edges of the boxes

Then you just make some x and y values yourself

Good starting point is 0 for both

ie when x is 0 then y =14/3

when y = 0 then x = -14

Which is off the graph in this case.

But using that idea if you pick an x or y value yourself you should be able to calculate its corresponding value.

You technically only need 2 sets of coordinates as it is a straight line but if you calculate more you can guarantee your line is correct

Are the lines perpendicular? y=x+3 and x+y=6

A. Yes, their slopes are negative reciprocals

B. No, their slopes are not negative reciprocals

Answers

A. Yes, their slopes are negative reciprocals

a survey of athletes at a high school is conducted, and the following facts are discovered: 51% of the athletes are football players, 43% are basketball players, and 1% of the athletes play both football and basketball. an athlete is chosen at random from the high school: what is the probability that the athlete is either a football player or a basketball player?

Answers

The probability that the athlete is either a football player or a basketball player is 93%.

What is probability?

The likelihood that something will occur is the foundation of it. The justification for probability serves as the basic foundation for theoretical probability. A coin is tossed, for instance, and the theoretical likelihood of receiving a head is 1 in 2.

Football players= 51%

Basketball players= 43%

Both football and basketball= 1%

Probability = Football players + Basketball players

- Both football and basketball

Probability= 51% + 43% -  1%

Probability= 93%

Inconclusion The probability that the athlete is either a football player or a basketball player is 93%.

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Jennine estimates that each step she takes is 18" long and that she takes 1550 steps
per block. How many blocks must she walk if she wants to walk 5 miles?

Answers

Answer: Jennine must walk 11.36 blocks.

Step-by-step explanation:

Since each step is 18" long and she takes 1550 steps per block, a block must equal to 1550*18", or 27,900".

27,900" is roughly 0.44 miles.

Therefore 5mi. /0.44mi.  = ~11.36 blocks

9 7 59 families are asked whether they have a cat (C) or a dog (D). 26 only have a cat. 14 only have a dog. 11 have both a cat and a dog. (a) Show this information on the Venn diagram. ● ● E C D (b) (i) How many of the families do not have a cat or a dog? (b)(i) D (ii) Write your answer in the correct place on the Venn diagram. (c) One of the families is chosen at random. Write down the probability that they have a dog.​

Answers

8 families do not have cat or dog. And the probability of a family having a dog is 0.42

Here Given that,

We have total 59 families.

26 only have cat.

14 only have a dog.

And 11 have both cat and a dog

Now, we will show this information on Venn diagram

for Venn diagram see the attachment.

Now, we can say that 26+14+11=51 families have pets at home.

So,  we will find out that how many families do not have cat or dog

So,  

we have 59 total families and from 59 families 51 have cat or a dog or both at home.

So,

Families do not have cat or dog = 59-51

Families do not have cat or dog = 8

therefore,

8 families do not have a cat or a dog.

Now, we will choose one family and find out the probability of that family having a dog.

So, we have 59 total families and out of 59 families 14+11= 25 families have a dog at home.

So,

The probability of a family having a dog =(families that have a dog)/(total families)

The probability of a family having a dog =25/59

The probability of a family having a dog =0.42

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Rachel paid 46 in tax for the money he earned a a camp counelor. How much money did rachel earn

Answers

Rachel earned an amount of $ 920

Given in the question,

5% × n = $46

5/100 × n = $46

0.05 × n =$46

0.05/0.05 × n = 46/0.05

Hence the amount is n = $920

Income that is earned comes under total earnings after taxes are deducted which one has already paid. Some of the income which is earned can include union strike benefits, specific retirement pensions, and long-term disability benefits. An expense that is removed or subtracted from the income of the person who is paying the taxes in order to lower the income which is earned by the person so that it is subjected to lower tax subtraction is known as deduction.

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Find the LCM of 8a²y²z and 56ayz³

Answers

Answer: 6

Step-by-step explanation:

Q.62 Help mee please

Answers

Answer:

4-1=3

5(4-1)    15

2(4)-2(1)   6

1-4    -3

Step-by-step explanation:

here you go...

please mark brainliest

Answer:

Step-by-step explanation:

a) :x-y=3(a) 5(x-y) = 5×3 =15

:. 5(x-y)=15

b)  2x-2y = 2(x-y)

      2(3) =2*3=6

      :. 2x-2y=6

c) y-x = -(x-y)

     -(x-y) = -(3).

   :. y-x=-3

if i get a 100 you get brainliest and a thanks, please help

Answers

For the first one the answer is $11.20. Found by dividing 56/5. And checking with 10•11.20=112.
The second one is $19.8. Found by dividing 99/5 and checking with 10•19.8=198.
The third one is $11.50. Found by dividing 34.5/3 and checking with 6•11.5=69.
The fourth one is $12.25. Found by dividing 49/4 and checking with 8•12.25=98.

you are grilling burgers for a party that will have 120 guests. you believe that a guest might need 0, 1, or 2 burgers with probabilities 0.2, 0.7, and 0.1, respectively. you assume that the number of burgers each guest needs is independent from other guests. how many burgers should you make so that you are 95% sure there will be enough?

Answers

118 lies in this interval , so that i should make 118 burgers with 95% sure .

What is statistics ?

Statistics, originally "description of states, countries") is the field dealing with the collection, organization, analysis, interpretation and presentation of data. When applying statistics to  scientific, industrial, or social problems, it is common to start with a statistical population or  model under study. A population can be various groups of people or things such as: For example, "everyone living in that country" or "all atoms that make up a crystal". Statistics deals with all aspects of data, including the planning of data collection with a view to designing surveys and experiments.

Calculation

the calculation part has been attached below as it was difficult to write that here

∴ 118 lies in this interval , so that i should make 118 burgers with 95% sure

108 also lies in the interval but it is just expected value , if we think about the whole interval answer should be 118 .

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Are the ratios 1:2 and 19:20 equivalent?

Answers

No, these ratios are not equivalent.

Answer:

No they are not

Step-by-step explanation:

HELP ASAP : -7/8= -1/6 - 3/10x enter your question as a mixed number in the simplest form ​

Answers

Answer:

125/36 = 3 17/36

Step-by-step explanation:

Write an equation in standard form of the line that passes through (4, -1) and has the slope m = 3.
An equation in standard form is __ = -13

Answers

standard form for a linear equation means

• all coefficients must be integers, no fractions

• only the constant on the right-hand-side

• all variables on the left-hand-side, sorted

• "x" must not have a negative coefficient

[tex](\stackrel{x_1}{4}~,~\stackrel{y_1}{-1})\hspace{10em} \stackrel{slope}{m} ~=~ 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-1)}=\stackrel{m}{ 3}(x-\stackrel{x_1}{4}) \implies y +1= 3 (x -4) \\\\\\ y+1=3x-12\implies y=3x-13\implies \underline{-3x+y=-13}\implies 3x-y=13[/tex]

now, notice, the equation should  have a positivized "x" term, however the material is suggesting "incorrectly" the one that's underlined.

What is the solution to –2|2.2x – 3.3| = –6.6?
x = –3
x = 3
x = –3 or x = 0
x = 0 or x = 3

Answers

Answer:

D

Step-by-step explanation:

Nine lemons cost $4.
Use the table to determine how many lemons can be bought for $20
Lemons 9 18 27 36 ?
Cost $4 $8 $12 $16 $20

Answers

45 lemons can be bought for $20

Answer:

45 lemons can be bought with $20

Step-by-step explanation:

             +9   +9  +9    +9    +9

Lemons   9   18   27   36    x

Cost       $4  $8  $12  $16  $20

              +4   +4   +4   +4    +4

Jimmy i eating andwiche at a contant rate the number of andwiche y that he can eat in a hour x i repreented by the linear equation y = 8x how many andwiche doe jimmy eat in 1 hour? 2 hour? 3 hour?

Answers

Jimmy ate 8 , 16 , 24 sandwiches in 1 , 2 and 3 hours respectively .

To find : the no . of sandwiches Jimmy eat in 1 hour , 2 hour and 3 hours .

Given : y = the no . of sandwiches Jimmy can eat

      x = no . of hours he take in eating

Relation : y = 8 x

( i ) No . of sandwiches eaten  by Jimmy in 1 hour

x = 1

y = ( 8 * 1 )

y = 8

( ii )   No . of sandwiches eaten  by Jimmy in 2 hours

x = 2

y = ( 8 * 2 )

y = 16

( iii ) No . of sandwiches eaten  by Jimmy in 3 hours

x = 3

y = ( 8 * 3 )

y = 24

Hence , Jimmy ate 8 , 16 , 24 sandwiches in 1 , 2 and 3 hours respectively .

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For science class, Joan watches a bird as it moves up
and down in a tree over time. You could make a
graph to represent the relationship between the
bird's height off the ground and time. If you made a
graph, what variable would you put on each axis?
Explain your answers.
Independent (x-axis) variable:
Dependent (y-axis) variable:
1

Answers

Answer:

Step-by-step explanation:

Evaluate the expression when c= 1/4 and d= 2/4. 3 (1/4 + c) + 2d

Answers

The answer of above expression is

5/2

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,

c=1 / 4 and d=2/4

put the value of c and d in above expression 3(1/4 + c) +2d

3(1/4 + 1/4 ) +2(2/4)

3(2/4) + 1

3(1/2) + 1

(3+2)/2

5/25

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Lacy uses 1 1/2 cups of flour and 1/2 cup of applesauce for one batch of muffins. She makes 2 1/2 batches of muffins. How many
cups of flour does Lacy use in all?

Answers

your answer would be 3 1/4
If Lacy is making 2 1/2 batches them you do the math like this :
1 1/2 + 1 1/2 + 3/4 = 3 1/4
this is because you will need the full 1 1/2 cups for the first 2 batches then you’ll have to divide the 1 1/2 by 2 to half the recipe.
Hope this helps <3

factor -2.8 out of -16.8m - 11.2

Answers

Answer:

I would likely consider the answer is 15.68(3m+2)

But I need more info about the question if so.

Geometry B
Spheres
The volume of a sphere is given by the following formula:
V =
4
3
V = = πr³
3
Page #6
Example Cros
What is the volume of the sphere in the diagram?
Find the volume of the sphere by entering the given radius into
the volume formula for a sphere.
4
V=X π X 3³
V = __________π cubic units
PEH
13

Answers

The volume of sphere in the diagram by entering the given radius into the volume formula is 36π cubic units.

Given that the volume of sphere is (4/3)×π×r³ and the radius is 3 units.

We want to the find the volume of sphere.

As we are given that the radius is 3 units and the volume of the sphere is (4/3)πr³.

So, firstly, we will substitute the value r=3 in the above formula, we get

V=(4/3)×π×(3)³

Now, we will simplify the above expression, we get

V=4π×9

V=36π cubic units

Hence, the volume of the sphere by entering the given radius into the volume formula for a sphere is 36π cubic units.

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