Identify the values of a, b, and c in the following quadratic equation. 3[tex]x^{2}[/tex] - 2x + 5 = 0

a =?
b =?
c =?

Answers

Answer 1

Answer:

a = 3

b = -2

c = 5

Step-by-step explanation:

The general form of a quadratic equation is ax² + bx + c = 0.

3x² - 2x + 5 = 0

The value of a is 3.

The value of b is -2.

The value of c is 5.


Related Questions

Please help! Question two

Answers

Answer:

4y+6

Step-by-step explanation:

Perimeter is adding up the outside

so.. there are y+y = 2y

y+3 + y+3 = 2y+6

2y+6 + 2y = 4y+6

Hope this helps :)

Betsy can clean a b of the house in an hour. How long will it take her to clean the whole house?

Answers

Answer:

[tex]\frac{b}{a}[/tex] is the total time taken to clean the house.

Step-by-step explanation:

Given that:

Betsy cleans [tex]\frac{a}{b}[/tex] of the house.

Time taken = 1 hour

To find:

Time taken to clean the whole house = ?

Solution:

We can use unitary method here to solve this problem.

We are given that [tex]\frac{a}{b}[/tex] of the house is cleaned in 1 hour.

We have to find that a total of 1 house will be cleaned in how much time.

(1 house because Betsy's house can be considered as a single unit).

To find this we will divide 1 hour with [tex]\frac{a}{b}[/tex].

Now, Let us solve this mathematically:

[tex]\frac{a}{b}[/tex] of the house is cleaned in = 1 hour

1 of the house will be cleaned in =  1 hour divided by [tex]\frac{a}{b}[/tex]

[tex]\dfrac{1}{\dfrac{a}{b}}\ hours\\\Rightarrow \dfrac{1 \times b}{a}\ hours\\\Rightarrow \dfrac{b}{a}\ hours[/tex]

So, the answer is:

[tex]\frac{b}{a}[/tex] is the total time taken to clean the house.

SOLVE
Which of the following ordered pairs are equal? Write with reason
(a) (2, 3) and (4,2)

Answers

Answer: (2, 3) and (4,2) are not equal.

Step-by-step explanation:

An ordered pair is something like (x, y)

and two pairs (x1, y1) and (x2, y2) are only equal if x1 = x2 and y1 = y2

in this case, we have (2, 3) and (4, 2)

you can see that in the pairs the value of x is different, and the value of y is also different. Then we have that the pairs can not be equal.

Erika calculated that she would spend $115 on school supplies this year. She actually spent $82.50 on school supplies. What is Erika's percent of error?

Answers

Answer:

Percentage error is 39.39%

Step-by-step explanation:

It is given that,

The calculated value that Erika spend on school supplies this year is $115.

Actual value that she spent is $82.50.

We need to find Erika's percent of error. Percentage error is given by the formula as follows :

[tex]\%=\dfrac{\text{calculated value}-\text{actual value}}{\text{actual value}}\times 100\\\\\%=\dfrac{115-82.5}{82.5}\times 100\\\\\%=39.39\%[/tex]

So, Erika's percent of error is 39.39%.

Find the measure of < AED for m < BEC = 36

Answers

Answer: Vertical Angles are congruent

When testing gas pumps for​ accuracy, fuel-quality enforcement specialists tested pumps and found that 1334 of them were not pumping accurately​ (within 3.3 oz when 5 gal is​ pumped), and 5663 pumps were accurate. Use a 0.01 significance level to test the claim of an industry representative that less than​ 20% of the pumps are inaccurate. Use the​ P-value method and use the normal distribution as an approximation to the binomial distribution.

Answers

Answer:

We accept H0, Therefore we conclude that there is no evidence to support the claim that less than 20% of the pumps are inaccurate.

Step-by-step explanation:

We have,

x = 1334

n = 1334 + 5663 = 6997

we have to:

p = x / n = 1334/6997 = 0.1907

The hypothesis is:

H0: P = 0.20

H1: P <0.20

P = 0.2 and Q = 1 - P = 0.8

the test statistic is:

Z = (p - P) / [(P * Q / n) ^ (1/2)]

replacing:

Z = (0.1907 - 0.20) / [(0.2 * 0.8 / 6997) ^ (1/2)]

Z = -1.96

now, the p-value is

P = 0.0250, from normal table, attached

Here p-value> 0.01, so we accept H0, Therefore we conclude that there is no evidence to support the claim that less than 20% of the pumps are inaccurate.

Can anyone help I could really use it

Answers

Answer:

-12m-6n

Step-by-step explanation:

Let's break this down systematically

Start:

8m + 2n - 4(5m - 2n)

Use the distributive property

8m + 2n - 4(5m - 2n)

8m + 2n - 20m - 8n

Match like terms m and n

8m - 20m = -12m

2n - 8n = -6n

-12m-6n

some help a homie out in math

Answers

Answer:

1. A pentagonal Pyramid

2. Super Easy, tell me to draw one if you need but i am not gonna give in that much effort right now

The Edward James Toy Company uses a Kanban system to make plastic wheels that are a component of several toys. The waiting time for a container of the wheels during production is 0.25 day; average processing time is 0.15 day per container. Each container holds 200 wheels. The company uses 2000 wheels a day in the production of its products. Using a policy variable of 5%, calculate the number of Kanban containers needed for the wheels.

Answers

Answer:

4.2 kanban containers required

Step-by-step explanation:

Given the following information :

Waiting time = 0.25 days

Average peocessing time = 0.15 days / container

Daily usage (Demand rate) = 2000 per day

Container capacity = 200 wheels

Policy variable ( Alpha) = 5% = 0.05

Therefore, number of kanban containers needed for the wheels can be calculated using:

(Number of containers(x) * container size) = (Demand rate (waiting time + processing time)*(1 + alpha))

x * 200 = 2000(0.25 + 0.15)*(1 + 0.05)

200x = 2000(0.40)*(1.05)

200x = 840

x = 840 / 200

x = 4.2

4.2 kanban containers required

Which of the following options correctly describes the graph below?

Answers

It’s a piecewise function

The option that correctly describes the graph below is A. Piecewise function.

What is a piecewise function?

A piecewise function is a function that reacts in different ways based on the input received at every point in time. This function has different intervals and funtions that apply to the respective domains.

Sometimes, these graphsa re recognized by the three main parts that they have. So, the function that is represented by the graph is the piecewise function.

Learn more about piecewise functions here:

https://brainly.com/question/27262465

#SPJ2

35% off a phone = £78 how much was the phone before the discount prices?

Answers

Answer:

£120

Step-by-step explanation:

Given that

The price after reduction = £78

So, 65% = £78.

We have to calculate 100 %

To do so, find 5% and multiply that by 20

65% = £78

5% = 78/13 = £6

So, 100% = 6 x 20 = £120

Hope this helps.

Good Luck

Please mark brainiest

what is the range of the function in this table?

Answers

Answer: A) 1, 2, 4

Step-by-step explanation:

The range of a function is every y value.

Answer:

A. {1, 2, 4}

Step-by-step explanation:

Well let’s take a step back,

What is range?

Range is the amount of y-value son a graph or table.

So the range is (1, 4, 2)

Please help meeeee
The measure of a central angle is 18°. If the length of its intercepted arc is xπ units, what is the circumference of the circle?
A.( x/20)π units
B. (x/18)π units
C. (x/10)π units
D. 18xπ square units
E. 20xπ square units

Answers

Answer:

20xπ units

Step-by-step explanation:

Use the formula for the length of an arc.

θ/360 × 2πr

The length of the arc and the central angle is already given.

18/360 × 2πr = xπ

Solve for r.

r = (xπ)/(18/360)/(2π)

r = 10x

The radius of the circle is 10x.

The circumference of a circle is 2πr.

2π(10x)

20xπ

The circumference of the circle is 20xπ units.

Evaluate 3(4-2) what would be the answer to this

Answers

Answer:

6

Step-by-step explanation:

3(4 - 2)

Expand brackets.

3(4) + 3(-2)

12 + - 6

= 6

━━━━━━━☆☆━━━━━━━

▹ Answer

6

▹ Step-by-Step Explanation

Follow PEMDAS:

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

3(4 - 2)

3(2)

= 6

Hope this helps!

CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

ANSWER FAST
please help me answer these following question A sample of the amount of rent paid for one-bedroom apartments of similar size near the University of Oregon are: $295, $475, $345, $595, $538, $460. A second sample of the amount of rent paid for one-bedroom apartments of similar size near the University of Washington are $495, $422, $370, $333, $370, $390. Using the Text Editor, answer the following questions: What is the median price of rent for the University of Oregon? What is the median price of rent for the University of Washington? What is the mean price of rent near the University of Oregon? What is the mean price of rent near the University of Washington? Describe the standard deviation for both Universities and explain how you determined this.

Answers

Answer:

The mean, median, and standard deviation of the University of Oregon are $451.33, $467.5, and $113.61 respectively.

The mean, median, and standard deviation of the University of Washington are $396.67, $380, and $56.27 respectively.

Step-by-step explanation:

We are given that a sample of the amount of rent paid for one-bedroom apartments of similar size near the University of Oregon is: $295, $475, $345, $595, $538, $460.

A second sample of the amount of rent paid for one-bedroom apartments of similar size near the University of Washington is: $495, $422, $370, $333, $370, $390.

Firstly, we will calculate the mean, median, and standard deviation for the data of the University of Oregon.

Arranging the data in ascending order we get;

X = $295, $345, $460, $475, $538, $595.

The mean of the above data is given by the following formula;

                  Mean, [tex]\bar X[/tex]  =  [tex]\frac{\sum X}{n}[/tex]

                                   =  [tex]\frac{\$295+ \$345+ \$460+\$475+ \$538+\$595}{6}[/tex]

                                   =  [tex]\frac{\$2708}{6}[/tex]  = $451.33

So, the mean price of rent near the University of Oregon is $451.33.

For calculating the median, we first have to observe that the number of observations (n) in the data is even or odd.

If n is odd, then the formula for calculating median is given by;

                    Median  =  [tex](\frac{n+1}{2} )^{th} \text{ obs.}[/tex]

If n is even, then the formula for calculating median is given by;

                    Median  =  [tex]\frac{(\frac{n}{2} )^{th} \text{ obs. } + (\frac{n}{2}+1 )^{th} \text{ obs.}}{2}[/tex]

Here, the number of observations is even, i.e. n = 6.

So,  Median  =  [tex]\frac{(\frac{n}{2} )^{th} \text{ obs. } + (\frac{n}{2}+1 )^{th} \text{ obs.}}{2}[/tex]

                     =  [tex]\frac{(\frac{6}{2} )^{th} \text{ obs. } + (\frac{6}{2}+1 )^{th} \text{ obs.}}{2}[/tex]

                     =  [tex]\frac{(3 )^{rd} \text{ obs. } + (4 )^{th} \text{ obs.}}{2}[/tex]

                     =  [tex]\frac{\$460 +\$475}{2}[/tex]  = $467.5

Hence, the median price of rent for the University of Oregon is $467.5.

Now, the standard deviation is calculated by using the following formula;

         Standard deviation, S.D.  =  [tex]\sqrt{\frac{\sum (X -\bar X)^{2} }{n-1} }[/tex]

                     =  [tex]\sqrt{\frac{ (\$295 - \$451.33)^{2} +(\$345 - \$451.33)^{2} +......+(\$595 - \$451.33)^{2} }{6-1} }[/tex]

                     =  $113.61

So, the standard deviation for the University of Oregon is $113.61.

Now, we will calculate the mean, median, and standard deviation for the data of the University of Washington.

Arranging the data in ascending order we get;

X = $333, $370, $370, $390, $422, $495.

The mean of the above data is given by the following formula;

                  Mean, [tex]\bar X[/tex]  =  [tex]\frac{\sum X}{n}[/tex]

                                   =  [tex]\frac{\$333+ \$370+ \$370+\$390+ \$422+\$495}{6}[/tex]

                                   =  [tex]\frac{\$2380}{6}[/tex]  = $396.67

So, the mean price of rent near the University of Washington is $396.67.

For calculating the median, we first have to observe that the number of observations (n) in the data is even or odd.

If n is odd, then the formula for calculating median is given by;

                    Median  =  [tex](\frac{n+1}{2} )^{th} \text{ obs.}[/tex]

If n is even, then the formula for calculating median is given by;

                    Median  =  [tex]\frac{(\frac{n}{2} )^{th} \text{ obs. } + (\frac{n}{2}+1 )^{th} \text{ obs.}}{2}[/tex]

Here, the number of observations is even, i.e. n = 6.

So,  Median  =  [tex]\frac{(\frac{n}{2} )^{th} \text{ obs. } + (\frac{n}{2}+1 )^{th} \text{ obs.}}{2}[/tex]

                     =  [tex]\frac{(\frac{6}{2} )^{th} \text{ obs. } + (\frac{6}{2}+1 )^{th} \text{ obs.}}{2}[/tex]

                     =  [tex]\frac{(3 )^{rd} \text{ obs. } + (4 )^{th} \text{ obs.}}{2}[/tex]

                     =  [tex]\frac{\$370 +\$390}{2}[/tex]  = $380

Hence, the median price of rent for the University of Washington is $380.

Now, the standard deviation is calculated by using the following formula;

         Standard deviation, S.D.  =  [tex]\sqrt{\frac{\sum (X -\bar X)^{2} }{n-1} }[/tex]

                     =  [tex]\sqrt{\frac{ (\$333 - \$396.67)^{2} +(\$370 - \$396.67)^{2} +......+(\$495 - \$396.67)^{2} }{6-1} }[/tex]

                     =  $56.27

So, the standard deviation for the University of Washington is $56.27.

leo, Kush and Mai share some money in the ratio 3 : 5 : 8. Kush receives £750 more than Leo. Calculate the total amount of money that they shared?

Answers

Answer:

£6000

Step-by-step explanation:

3:5:8

3+5+8=16

5-3 =2

Therefore 2=750

Therefore 1=375

16*375=£6000

What is an equation of the line that passes through the point
(−5,−6) and is parallel to the line
x+5y=25?

Answers

Answer:

y=-5x-4

Step-by-step explanation:

y=mx+b

-5=-5m+b

-5=-1+b

b=-4

y=-5x-4

:D

What would be the most logical first step for solving this quadratic equation?
x2 + 2x- 14 = 6
A. Take the square root of both sides
B. Add 14 to both sides
C. Divide both sides by x
Ο Ο
D. Subtract 6 from both sides

Answers

Answer:

D

Step-by-step explanation:

So that you can have an equation equal to zero to solve for x

Identify the property that justifies the following statement: I will make you a brainllest.

Answers

Answer:

reflexive property of simliarity

Step-by-step explanation:

Fez rolls 2 fair dice and adds the results from each. Work out the probability of getting a total more than 6

Answers

Answer:

7/12 ≈ 0.583

Step-by-step explanation:

See picture below. There are 21 totals higher than 6 out of 36 possible outcomes. The probability is therefore 21/36 = 7/12.

Answer: 21/36 or 7/12. = 58.33%

Step-by-step explanation: 36 possible outcomes

Of those, combinations resulting in numbers greater than 6 are:

# | combinations

7 | 6

8 | 5

9 | 4

10 | 3

11 | 2

12 | 1

The sum of those combinations is 21.

So 21/36 = 0.5833

or 7/12 = 58.33%

Please answer this quickly - just want the answers, explanation not needed!

Answers

Answer:

Step-by-step explanation:

3782

If p & q are position vectors of P & Q respectively & R divides PQ externally by the ratio 3:2, which one is the position vector of R? a. 2p-3q b. 3p-2q Please provide an explanation as well

Answers

Answer:

b. 3p-2q

Step-by-step explanation:

Let the position vector of P=p

Let the position vector of Q=q

Point R divides segment PQ in ratio 3:2 externally.

[tex]\text{Position Vector of R }=\dfrac{\text{(Position Vector of P)m }-\text{(Position Vector of Q) n}}{m-n}[/tex]

m:n = 3:2

Therefore:

[tex]\text{Position Vector of R }=\dfrac{3p -2q}{3-2}\\=3p-2q[/tex]

An evergreen nursery usually sells a certain shrub after 5 years of growth and shaping. The growth rate during those 5 years is approximated by dh/dt = 1.5t + 4, where t is the time in years and h is the height in centimeters. The seedlings are 12 centimeters tall when planted (t = 0). (a) Find the height after t years.

Answers

Answer:

[tex]h(t) = 0.75t^2 + 4t + 12[/tex]

Step-by-step explanation:

The equation given calculates the derivative of the height in relation to the time, that is, the rate of change of the height. To find the equation for the height, we need to integrate this equation:

[tex]dh/dt = 1.5t + 4[/tex]

Multiplying both sides by 'dt', we have:

[tex]dh = (1.5t + 4)dt[/tex]

Using the integral in both sides:

[tex]\int dh = \int (1.5t + 4) dt[/tex]

[tex]h = 0.75t^2 + 4t + h(0)[/tex]

[tex]h = 0.75t^2 + 4t + 12[/tex]

So the height after t years is represented by this equation:

[tex]h(t) = 0.75t^2 + 4t + 12[/tex]

A box contains 5 blue, 4 red, and 3 yellow marbles. Two marbles are randomly drawn and not replaced. What is the probability of drawing a blue then a red marble?

Answers

Answer: Probability = 20/132

Step-by-step explanation: There is no replacement in the box, so, once the marble is taken out, there will be one less inside the bag:

Total = 5 + 4 + 3 = 12

Probability of Blue:

P(b) = 5/12

Probability of Red: Since the blue is already out, total will be one less:

P(r) = 4/11

Probability of taken one and then the other:

P(blue,red) = [tex]\frac{5}{12} . \frac{4}{11}[/tex]

P(blue,red) = [tex]\frac{20}{132}[/tex] ≈ 0.15

The probability of drawing a blue and then a red is 20/132.

Answer:

5/33

Step-by-step explanation:

How is this wrong? Please explain to me.

Answers

Answer:

Wrong values are plotted in the question statement graph.

Please find correct graph.

Step-by-step explanation:

Given that:

[tex]y =x+3[/tex] and [tex]-1<x<5[/tex]

i.e. we can put a value of x in the equation which is greater than -1 and lesser than 5.

OR

we can say, the points where x = -1 and x = 5 will not be included in the graph (they will be shown as hollow circle).

Now, let us put the values one by one:

x = -1, y = -1 + 3 =2

x = 0, y = 0 + 3 = 3

x = 1, y = 1 + 3 = 4

x = 2, y = 2 + 3 = 5

x = 3, y = 3 + 3 = 6

x = 4, y = 4 + 3 = 7

x = 5, y = 5 + 3 = 8

Therefore, the table of values become:

[tex]\begin{center}\begin{tabular}{ c c } x & y\\ -1 & 2\\ 0 & 3 \\ 1 & 4 \\ 2 & 5 \\ 3 & 6 \\ 4 & 7 \\5 & 8\\\end{tabular}\end{center}[/tex]

Points (-1, 2) and (5, 8) will not be included in the graph.

Please find attached corrected graph.

Your friend swims on the school team. In her first four races, her times are 26.3, 28.4, 25.6 and 29.1. Which time listed for her next race would make the range larger? A. 25.2 B. 26.1 C. 28.0 D. 29.1

Answers

Answer:

A.) 25.2

Step-by-step explanation:

Given the following :

Times in first four races :

26.3, 28.4, 25.6 and 29.1

The range of a list of values is the difference between the maximum and minimum value of the list or data.

In her first four races :

Range = 29.1 - 25.6 = 3.5

Value of range in her first four races = 3.5

In other to make the range larger:

Either she has a value less than the least time in her previous four races or she has a value greater than the maximum value of her previous race in her next race.

With a time of 25.2 in her next race : least value in the data will be 25.2

Range = 29.1 - 25.2 = 3.9

With a time of 26.1 in her next race :

Range = 29.1 - 25.6 = 3.5

With a time of 28.0 in her next race :

Range = 29.1 - 25.6 = 3.5

With a time of 29.1 in her next race :

Range = 29.1 - 25.6 = 3.5

Answer:

25.2

Step-by-step explanation:

Your friend swims on the school team.

In her first four races, her times are 26.3, 28.4, 25.6, and 29.1 seconds.

Which time listed for her next race would make the range larger?

Solve the simultaneous equations 3x+y=8 X-3Y=11

Answers

Answer:

(7/2, -5/2)

Step-by-step explanation:

We can solve this multiple ways: Algebraically (Substitution or Elimination) or Graphically

Step 1: Write 1st equation in terms of y

y = 8 - 3x

Step 2: Substitute y of 2nd equation

x - 3(8 - 3x) = 11

Step 3: Solve for x

x - 24 + 9x = 11

10x - 24 = 11

10x = 35

x = 7/2

Step 4: Plug x to find y

3(7/2) + y = 8

21/2 + y = 8

y = -5/2

Answer:

Step-by-step explanation:

let's organize our information :

3x+y=8x-3y=11

The trick here is to multiply x-3y=11 by -3 then add it to 3x+y=8 to get rid of x and get a normal equation

we get : -3x+9y= (-33)

then after the addition : 3x+y-3x+9y=8-33⇔ 10y=(-25)

   so y=(-25)/10= -5/2

let's replace y by -5/2 in 3x+y=8 3x-5/2 =8⇔ x= 21/6

so y= (-5/2) and x= 21/6

                                         

A weather station in Antarctica reports that the temperature is currently -44 °C and has been rising at a constant rate of 4.5 °C per hour. What will the temperature be in Antarctica in 6 hours

Answers

Answer:

-17

Step-by-step explanation:

4.5*6=27

so -44++27

The population of China was about 1,360,000,000 people in 2014. Which number best approximates the population as a single digit times a power of 10?

Answers

Answer: 1 * 10^9

Step-by-step explanation:

1*10^9 = 1,000,000,000, which is the closest you can get.

Hope it helps <3

Help please! How would i solve this?

Answers

Answer:

B is correct

Step-by-step explanation:

What is need to be done here is to set up an exponential equation for both scenario.

The exponential equation to set up is as follows;

V = P(1 + r)^t

It looks exactly like an equation used to get the amount on a compound interest after a stipulated number of years.

We have the following definitions;

V is the future value.

P is the present value

r is the rate in percentage

t is the time in years

So, for A, we have;

Kindly note that 4% = 4/100 = 0.04

110,000(1+0.04)^t = 110,000(1.04)^t

For B, we have;

6/100 = 0.06

100,000(1+0.06)^t = 100,000(1.06)^t

Now expected value of B is twice that of A.

The equation that defines this would look like;

100,000(1.06)^t = 2(110,000(1.04)^t)

Other Questions
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