What is the sum of the roots of the equation

What Is The Sum Of The Roots Of The Equation

Answers

Answer 1

Answer:

-2.5

Step-by-step explanation:

For a quadratic equation \(ax^2 + bx+c=0\), the sum of the roots is \(-b/a\).

Here, \(b=5\) and \(a=2\), so the sum is \(-2.5\).


Related Questions

Which statement is true about the end behavior of the
graphed function?
O As the x-values go to positive infinity, the function's
values go to negative infinity.
O As the x-values go to zero, the function's values go
to positive infinity.
O As the x-values go to negative infinity, the function's
values are equal to zero
O As the x-values go to positive infinity, the function's
values go to positive infinity.

Answers

The end behavior of the graphed Polynomial is; C: As the x-values go to negative infinity, the function's values go to positive infinity​

What is the End behavior of the Polynomial?

The end behavior of a polynomial function is the behavior of the graph of f(x) as x approaches positive infinity or negative infinity. The degree and the leading coefficient of a polynomial function determine the end behavior of the graph.

Now, looking at the polynomial graph critically, it is very clear that as the x-values go to negative infinity, the function's values go to positive infinity​.

Thus, we can conclude that the statement that is true about the end behavior of the graphed function is; C: As the x-values go to negative infinity, the function's values go to positive infinity​

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Which statement is true about the end behavior of thegraphed function?O As the x-values go to positive

HELP!!! i already found x, can someone please help me find y asap?

HELP!!! i already found x, can someone please help me find y asap?

Answers

Answer:

Y = 166

Step-by-step explanation:

The missing angle measure in the small trapezoid is 93 degrees. So to solve for “y” you have to make the expression equal to 93.

y - 73 = 93

y = 166

Hope this helps! Pls give brainliest!

We deposit $12000 into an account carning 3 % interest compounded continuously, How many years will it take
for the account to grow to $16800? Round to 2 decimal places,

Answers

Answer:

The answer is 13.33 year

Step-by-step explanation:

P = $12000

Rate = 3%

Amount = $16800

so,

I = A-P

= $16800 - $12000

= $4800

So,

T = (I × 100)/P×R

= (4800×100)/P×R

= 480000/($12000×3)

= 480000/36000

= 480/36

= 13.33 year

IVE BEEN ASKING FOR AN HOUR PLEASE HELP: a rectangle's length is 6 feet shorter than twice its width. If we use w to represent the rectangle's width, use a polynomial to represent the rectangle's area in expanded form.​

Answers

Answer:

2w^2 - 6w

Step-by-step explanation:

Length is equivalent to 2w - 6

width is equivalent to w

area involves w x (2w - 6)

expanded form: w(2w - 6) --) 2w^2 - 6w  

simplify this, please

Answers

Answer:

what is it because I don't see it

Answer:

simplify what?

Step-by-step explanation:

so like simplify this or please or both. if so then... the is this (i guess) and please is pls, (i guess)

jason drove for three hours at an average speed of 55 miles per hour how far did he go?

Answers

Answer: 165 miles

Step-by-step explanation: In order to figure out the answer, you must do 55 x 3 because he drove for 3 hours at 55 mph so you could break it up and go 50 x 3 to equal 150 and 5 x 3 to equal 15 and add those to get 165.

Answer:

The answer is 165miles

Step-by-step explanation:

\(distance = speed \times time\)

d=55×3

d=165 miles

Geometry question. Please help fast.

Geometry question. Please help fast.

Answers

The correct answers are 1st and 4th i.e translate 2 units down and reflect the triangle.

We can easily deduce that the triangle A'B'C' is 2 units higher than the triangle ABC so if we want to map the both the triangles we have to make the triangle A'B'C' lower in the graph.

So, both the 1st and 4th points translate and reflect down the triangle A'B'C'  which will be mapped according to the triangle ABC.

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Could I get some help with this question with reasoning ? Means a lot of you do, I only have till 6 to complete assignments and das a lot

Could I get some help with this question with reasoning ? Means a lot of you do, I only have till 6 to

Answers

Answer:

Function

Step-by-step explanation:

This is a function as each input value has exactly one output according to definition of functions.

Give the first two solutions of the n-Queens problem for n = 6 Write it in the form (1,2), (2,2), (3,2)

Answers

Answer:

(1,2), (2,4), (3,6), (4,1), ( 5,3), (6,5)

Step-by-step explanation:

Given the first two solutions of the n-Queens problem for n = 6

The solution requires that no two queens share the same row, column, or diagonal and each variable lies in the domain [1,6] (6 rows).while finding a solution we must ensure that no two queens are not placed on the same row and in the same diagonal

hence the first two solutions can be expressed as :

(1,2), (2,4), (3,6),(4,1),( 5,3), (6,5)

Evaluate 4x+2 when x=6 .please answer I'm being timed

Answers

Answer:

26

Step-by-step explanation:

first, substitute the value for x into the expression. since x = 6, you will be plugging in 6 for x.

4x + 2 ⇒ 4(6) + 2

simplify the expression, starting with 4 · 6.

4(6) + 2 ⇒ 24 + 2

then add 24 + 2.

24 + 226

aaaand your answer is 26! hope this helps. have a lovely day! <3

Solve the system of equations below by elimination.
(Show your work)
4x+y=9
3x+2y=8

Answers

Answer:

(2,1)

Step-by-step explanation:

1 step:  -2(4x+y=9)

             3x+2y=8

2 step: -8x-2y=-18

             3x+2y=8

3 step: -5x=-10

divide by -5 both sides

x=2

Now we solve for y

choose an equation from above and subtitute the x for 2.

3(2)+2y=8

6+2y=8

subtract 6 from both sides

2y=2

Y=1

Select the sets that are not functions.
O E = ((6. 2). (7. 3). (6, -1). (5. 4)]
O A = {(1, 2), (2, 3), (3, 4). (4. 5)}
O C = [(-1, 3), (0.3), (1, 3), (2, 3)}
OB = {(1, 2), (2, 1), (3, 0), (4, -1)]
OD = {(1, 1), (1, 2), (1, 3), (1. 4)}

Answers

D and E are the ones that aren’t functions because they use the x-values more then once

I need help with this . I don't get it .

I need help with this . I don't get it .

Answers

For Lady Boil

The total lenght is 7

For Vamp Pyre

Total lenght is 10

For Wylie Willie

Total lenght is 8

For Skelly Tom

Total lenght is 7

For underly ded

Total lenght is 9

For Jack Lantern

Total lenght is 10

I need help with this . I don't get it .
I need help with this . I don't get it .
I need help with this . I don't get it .
I need help with this . I don't get it .
I need help with this . I don't get it .

Translate this sentence into an equation.
The sum of 21 and Delia's height is 70 .

Answers

Answer:

21 + x = 70

Step-by-step explanation:

Since we do not know delia's height, you would mark it as x! sum means add, so 21 + x = 70!

This question was a little simple, so I'm sorry for the lack of an explanation, but I'm here if you need more help!!

Nancy believes that the average running time of movies is equal to 140 minutes. A sample of 4 movies was taken and the following running times were obtained. Assume the distribution of the population is normally distributed. 150 150 180 170
a. State the null and alternative hypotheses.
b. Using a critical value, test the hypothesis at the 10% level of significance.
c. Using a p-value, test the hypothesis at the 10% level of significance.
d. Using a confidence interval, test the hypothesis at the 10% level of significance.
e. Could a Type II error have been committed in this hypothesis test?

Answers

Answer:

a; H0: u= 140 Ha: u ≠ 140 two tailed test.

b. Therefore reject H0 as t= 3 ≠ t≤ t ( ∝/2) (n-1) =2.353 or

3 > t ( ∝/2) (n-1) =2.353    

c. If we check from the table the p- value is 0.6 which lies between 0.1 and 0.05  therefore reject H0.

d. Again reject H0 as 140 < 150.163

e. A type II error has not been committed as H0 is rejected.

Step-by-step explanation:

We formulate the null and alternative hypotheses as

a; H0: u= 140 Ha: u ≠ 140 two tailed test.

For a two tailed test the significance level ∝= 0.1 the critical region is given by

t ≤ t ( ∝/2) (n-1) and t > t ( ∝/2) (n-1)

So the critical region will be

t≤ t ( ∝/2) (n-1) =2.353

where

t= x` - u / s/ √n

Sr. No X X²

1 150 22500

2 150 22500

3 180 32400

4 170 28900

∑ 650 106,300

X`= ∑x/n = 650/4= 162.5

s²= 1/n-1 (x-x`)²= 1/n-1 [ ∑x² -(∑x)²/n ]

= 1/3[106,300 -650²/4] = 225

s= 15

Putting the values in the above equation

t= 162.5- 140/ 15/ √4

t= 3

So calculated value of t= 3

b. Therefore reject H0 as t= 3 ≠ t≤ t ( ∝/2) (n-1) =2.353 or

3 > t ( ∝/2) (n-1) =2.353    

c. If we check from the table the p- value is 0.6 which lies between 0.1 and 0.05  therefore reject H0.

d. a 90% confidence interval based on the calculated values will be

x`± 1.645 (s)/ √n

Putting the values

162.5 ±1.645 ( 15/2)

162.5 ±12.3375

174.84 , 150.163

d. Again reject H0 as 140 < 150.163

e. A type II error has not been committed as H0 is rejected.

Circle O has a circumference of 36π cm. Circle O with radius r is shown. What is the length of the radius, r? 6 cm 18 cm 36 cm 72 cm

Answers

Answer: 18 cm

Step-by-step explanation:

We know the circumference formula is C=2πr. Since our circumference is given in terms of π, we can easily figure out what the radius is.

36π=2πr                   [divide both sides by π to cancel out]

36=2r                        [divide both sides by 2]

r=18 cm

Answer:

18cm

Step-by-step explanation:

because i found it lol

what does "and" mean in maths?

Answers

Answer:

and mean another questions

Answer:

add

Step-by-step explanation:

for example two and two makes

A political candidate has asked you to conduct a poll to determine what percentage of people support her. If the candidate only wants a 4% margin of error at a 99% confidence level, what size of sample is needed? Give your answer in whole people.

Answers

Answer:

Step-by-step explanation:

Hello!

The variable of interest is:

X: Number of people that support the candidate.

You need to calculate the sample size to estimate the population proportion of supporters given a confidence level of 99% and a margin of error of 4%

The margin of error of the confidence level for the population proportion is

d= \(Z_{1-\alpha /2}\) * \(\sqrt{\frac{p'(1-p')}{n} }\)

From this formula you have to clear the value of n:

\(\frac{d}{Z_{1-\alpha /2}}\)= \(\sqrt{\frac{p'(1-p')}{n} }\)

\((\frac{d}{Z_{1-\alpha /2}})^2\)= \(\frac{p'(1-p')}{n}\)

\(n*(\frac{d}{Z_{1-\alpha /2}})^2\)= \(p'(1-p')\)

n= \(p'(1-p') * (\frac{Z_{1-\alpha/2}}{d} )^2\)

\(Z_{1-\alpha/2}= Z_{0.995}= 2.586\)

sample proportion "p'" since there is no sample information, nor any previous information is known, you have to consider it as the "worse case scenario" and use the value of p'= 0.50

d= 0.04

\(n= p'(1-p') * (\frac{Z_{1-\alpha/2}}{d} )^2= 0.5*0.5*(\frac{2.586}{0.04} )^2= 1044.9= 1045\)

She has to take a sample of 1045 people to estimate the population proportion of her supporters with a confidence level of 99% and a margin of error of 4%

I hope this helps!

According to the propertyWhich choice is equivalent to the quotient below!

According to the propertyWhich choice is equivalent to the quotient below!

Answers

Answer:

A

Step-by-step explanation:

Because square root of 30 is 5.4 rounded, and square root of 6 is 2.4 rounded, so 5.4 divided 2.4 is 2.25, and square root of 5 (Answer choice A) is 2.25 rounded as well. They are more accurate when not rounded btw u can check yourself:) HAVE A GREAT DAY/NIGHTT!

A car is traveling at a rate of 30 meters per second. What is the car's rate in kilometers per hour? How many kilometers will the car travel in 5 hours? Do not
round your answers.

Answers

The speed of the car is 108 kilometers per hour and the distance covered in 5 hours is 540 kilometers.

What is the speed of the car in kilometers per hour and distance covered after 5 hours?

Speed is simply referred to as distance traveled per unit time.

It is expressed as;

Speed = Distance ÷ time.

Given that the car is traveling at a rate of 30 meters per second.

First, convert the car's speed from meters per second to kilometers per hour using the conversion factor.

1 kilometer = 1000 meters

1 hour = 3600 seconds

Hence;

Speed = 30m/s = ( 30 × 3600/1000 )kmh

Speed = 108 kmh

Next, the distance covered in 5 hours will be:

Speed = Distance / time

Distance = speed × time

Distance = 108 kmh × 5 h

Distance = 540 km

Therefore, the disatnce covered is 540 kilometers.

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I need help
I need help
I need help
I need help
I need help
I need help
I need help

I need helpI need helpI need helpI need helpI need helpI need helpI need help

Answers

The sequence is decreasing as n increases and sequence converges to the value 0.

The given sequence is defined as aₙ = 1 / (7n + 3).

To determine if the sequence converges or diverges, we need to analyze its behavior as n approaches infinity.

As n increases, the denominator 7n + 3 also increases which means that the values of aₙ will get smaller and smaller, approaching zero as n becomes larger.

The sequence converges to the value 0.

The sequence is decreasing as n increases.

The sequence converges to the value 0.

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What is the inverse of the function?

H^-1(x)=

What is the inverse of the function?H^-1(x)=

Answers

Answer:

H^-1=2/5x-8/5

Step-by-step explanation:

interchange the variables

x=5/2y+4

so 5/2y=x-4

y=2/5x-8/5

H^-1=2/5x-8/5

PLS HELP WHATS THE AREA

PLS HELP WHATS THE AREA

Answers

Answer:

the are is all the the lengths on the shape your using added

Step-by-step explanation:

You have to mutiply its height by its width

Calculate the area of a rectangle with the base of 12 feet and height of 3 feet. PLS hurry

Answers

Answer:

Step-by-step explanation:

Multiply 12 by 3 which is 36. Therefore your area is 36ft sqaured.

are the ratios 2:1 and 20:10 equivalent

Answers

Yes, there is an analogous ratio between 2:1 and 20:10.

What ratio is similar to 2 to 1?

We just cancel by a common factor. So 4:2=2:1 . The simplest representation of the ratio 4 to 2 is the ratio 2 to 1. Also, since each pair of numbers has the same relationship to one another, the ratios are equivalent.

By dividing the terms of each ratio by their greatest common factor, we may simplify both ratios to explain why.

As the greatest common factor for the ratio 2:1 is 1, additional simplification is not necessary.

The greatest common factor for the ratio 20:10 is 10. When we multiply both terms by 10, we get:

20 ÷ 10 : 10 ÷ 10

= 2 : 1

As a result, both ratios have the same reduced form, 2:1, making them equal.

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If mGHJ = 27 and mGHK = 87, what is the measure of mJHK

Answers

Answer:

114 degrees

Step-by-step explanation:

From the letters that describe the rays, these two angles are adjacent to each other, and therefore, if the measure of one is 27 degrees and that of the other one is 87 degrees, then the larger angle defined by the two rays (HJ and HK) with common vertex H would be:

m<JHK = 27 degrees+ 87 degrees = 114 degrees

Melanie combines 8.65 ounces of strawberries with 8.09 ounces of blueberries to make fruit bowls. She pours the fruit equally into 4 bowls, and has 2.78 ounces of fruit left over. How many ounces of fruit are in each bowl?

Answers

Answer:

3.49 ounces

Step-by-step explanation:

Step one:

given data

total ounces combined= 8.65+8.09= 16.74 ounces

We are told that the remainder after pouring the fruits into four bowls is

2.78 ounces, hence what was divided is

= 16.74-2.78=13.96 ounces

Now the amount that was divided is 13.96 ounces

hence a bowl took 13.96/4= 3.49 ounces

Some factors need to be controlled to keep this test fair. name two of them….

Some factors need to be controlled to keep this test fair. name two of them.

Answers

Two factors that need to be controlled to keep this test fair are the temperature and the sample volume.

What are the control variables?

The control variables are those variables that should be kept constant in order to avoid interfering with the free flow of the experiment.

For the provided test, it is important that the temperature of the environment where the test sample is kept is controlled throughout the duration of the experiment so that some results are not affected by this. Also, the sample volume should be controlled for fair outcomes.

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The figure above shows a store's supply-demand graph for coffee makers. If the store sells $600 worth of coffee makers, which of the following is a valid possible price for them?

A. $15

B. $30

C. $40

D. $55

The figure above shows a store's supply-demand graph for coffee makers. If the store sells $600 worth

Answers

The possible price for the items if the store sells $600 is (c) $40

How to determine the possible price for the items?

From the question, we have the following parameters that can be used in our computation:

The supply-demand graph

If the store sells $600, then there is a supply worth of $600

The equation of the supply line is calculated as

y = mx + c

Where

c = y = 0

i.e. c = 100

So, we have

y = mx + 100

Using another point on the graph, we have

30m + 10 = 400

So, we have

m = 13

This means that

y = 13x + 100

For a supply of 600, we have

13x + 100 = 600

So, we have

13x = 500

Divide by 13

x = 38.4

Approximate

x = 40

Hence, the possible price for the items is (c) $40

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Write the equation of the line in fully simplified slope-intercept form.
-12-11-10-9-
12
11
10
9
R
5
4
2
654-3-2-1
-2
3
4
-5
-6
-8
6
-10
-11
-12
34567 8 9 10 11 12

Write the equation of the line in fully simplified slope-intercept form.-12-11-10-9-1211109R542654-3-2-1-234-5-6-86-10-11-1234567

Answers

The equation of the line in fully simplified slope-intercept form is y = x + 7.

We have,

From the graph,

The coordinates of the line are:

(0, 7), (-7, 0), and (-2, 5).

We can use any coordinates the line touches on the graph.

We will use,

(0, 7) and (-7, 0)

The equation can be written in the form y = mx + c

m = (0 - 7) / (-7 - 0)

m = -7/-7

m = 1 ______(1)

And,

(0, 7) = (x, y)

So,

y = mx + c ______(2)

7 = 1 x 0 + c

7 = c

c = 7 ______(3)

Now,

From (1), (2), and (3).

y = x + 7

Thus,

The equation of the line in fully simplified slope-intercept form is y = x + 7.

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