Find the sum of the roots of the quadratic x^2 + 7x - 13 = 0

Answers

Answer 1

Answer:

-7

Step-by-step explanation:

You use the quadratic formula of [tex]ax^{2} +bx+c = 0[/tex] to get:

a = 1

b = 7

c = -13

then you plug that into x= (-b ± √b²-4ac)/(2a) :

x= ( -7 ± √7²- 4(1)(-13) )/(2(1))

[tex]x=-\frac{7}{2} + \frac{\sqrt{101}}{2} \\\\x=-\frac{7}{2} - \frac{\sqrt{101}}{2}[/tex]

The sum of these two x values turns out to be:

[tex]x=-\frac{7}{2} + \frac{\sqrt{101}}{2}+( -\frac{7}{2} - \frac{\sqrt{101}}{2} )= -\frac{14}{2} = 7[/tex]


Related Questions

in mrs. smiths class every time you turn in assignments you earn 1 homework pass. write 3 equivalent ratios of turned in assignments to homework passes


help please I need it

Answers

Answer:

Assignment to Homework:   3:9    4:12     5:15

Answer:

3:9    4:12     5:15

i think

Step-by-step explanation:

On his way to the library , Jeff runs two blocks and then walks three more blocks.Sketch a graph to show the distance Jeff travels compared to time.

Answers

Answer:

Since I can't take a picture, I am going to explain how to draw it.

Step-by-step explanation:

When sketching the graph you must note if jeff is going up the y-axis and along the x-axis. In this case, run means he goes up every minute. So when jeff runs he is going up and 2 minutes have gone by. And when he walks he is going up 3 more but slower so it would double the time. Time would be on the x-axis and blocks would be labeled on the y-axis.

Hope this helps. : )

What is the slope of the line?

Answers

Answer:

Y= -4/-4x -1

Step-by-step explanation:

I think this is correct, I haven't done this in awhile though. I hope this helps

It is 4858833959694995.838485842829496959494596

What is the solution for -10 -19

A.)x > -19
B.)x -1

Answers

Answer:A

Step-by-step explanation:positive is bigger then negative.

A
HOPE THIS HELPS SORRY IF IM WRONG

which of the following is the ratio of boys to girls in tamir's math class?
12/27
12/15
15/12
27/12

Answers

The answer for your question is 12/15

Answer:

12/15

Step-by-step explanation:

you put the number of boys over the number of girls

sometimes you can simplfy but it looks like the answer choice doens't want you too

Rapid Rental Car charges a $40 rental fee, $25 for gas, and $0.65 per mile driven. For the same car, Capital
Cars charges $55 for rental and gas and $0.75 per mile.
Part 1 out of 2
For how many miles is the rental cost at both companies the same?
The rental costs at both companies are the same at
miles.

Answers

Equation

40 + 15 + 0.25x = 45 + 0.35y

Solution

55 + 0.25x = 45 + 0.35y The only way you can do this is to assume that x and y are equal

subtract 45 from both sides

55 - 45 + 0.25x = 0.35x

10 + 0.25x = 0.35x Subtract 0.25x from both sides.

10 = 0.35x - 0.25x

10 = 0.1x Divide by 0.1

10/0.1 = x

x = 100 So if each car goes 100 miles, it should turn out to be the same no matter which company gets the rental.

Let's see if that is true.

Cost for the first company = 40 + 15 + 0.25x = 55 + 25 = 80 dollars.

Cost for the second company = 45 + 0.35x = 45 + 35 = 80 dollars.

Conclusion

Both rentals charge the same total amount when each car is driven 100 miles.

The charge is 80 dollars.

Hope this helped! :)

plssssssssssssss help

Answers

What are the 7 & 9 for? Obviously, you had info from somewhere else for the 9 & 7 if they are THE ONLY NUMBERS here

For 20 points, Round each mixed number to the nearest whole number. Then, estimate the quotient. 24 16/17 devided by 4 8/9

Answers

Answer:

you would round up because 24 16/17 is closer to 25 and 4 8/9 is closer to 5.

which would be 25/5 which estimates to 5.

Step-by-step explanation:

Complete the explanation of whether the graph represents a proportional or a nonproportional linear relationship

Answers

proportional linear

Answer:

your answer would be

proportional linear

Step-by-step explanation:

Evaluate the expression 2(5x -3y) if x = -1/2 and y = 1

Answers

the answer is -11!
once plugged in, the new equation would be 2(-2.5 -3)
this would equal 2(-5.5)
the final answer would be -11

What is the slope of the line?

Answers

Answer:

Its 1/1 or -1/-1

Step-by-step explanation:

Answer:

The slop of the line is 1

Step-by-step explanation:

To find slop of the line you look at rise over run, or the distance from one point to another up then across. In this graph, from the point (0,-3) to (1,-2) you go up one point and across one point. 1/1 = 1 so the slope is 1.

put 2/3 5/7 16/21 in order from least to greatest

Answers

Answer:

5/7, 2/3, and 16/21

Step-by-step explanation:

If you put them all under the same denominator you will get 2/3=14/21, 5/7= 10/21, and 16/21. And if you put them in order it is 10/21, 14/21, and 16/21. Hope this helps, let me know if correct!!

2/3, 5/7, 16/21

Step-by-step explanation:

turn them into decimals

Question below!!!!!!!!!!!!!

Answers

Answer:

A because they 35 needs to stay with 100 and x needs to stay with 275 and 100 and 275 have to be on the same part of the ratio

Step-by-step explanation:

The answer is A your welcome

Aubrey says that the product of 104 and 10–2 is 10–8. Is she correct? If not, explain why.
A. Yes, she is correct.
B. No, the exponent should be positive 8.
C. No, she multiplied the exponents instead of adding them.
D. No, she multiplied the exponents instead of subtracting them.

Answers

Answer:

C

Step-by-step explanation:

No, she multiplied the exponents instead of adding them.

I’m pretty sure the answer is c

HELP ME! 1/2h=17+2 solve for h.

Answers

Answer:

H=38

Step-by-step explanation:

H=38

Explanation:

1/2h=17+2
*17+2*

1/2h=19
*multiply both sides*

2*1/2h=19*2
*simplify*

H=38

Mark donated 15% of the money he earned last summer to the hurricane relief fund. If he donated at total of $475.00 how much did he earn last summer? (if needed, round your answer to the nearest cent)

Answers

That’s the right answer well done

Which number has only two factors?




A 21
B 27
C 25
D 23


please help-

Answers

Answer:

23

Step-by-step explanation:

A number is made up of 2 tens and 5 tenths.

A second number is made up of 6 ones and 8 hundredths.

A third number is made up of 2 tens and 6 hundredths.

A fourth number is made up of 5 ones and 8 tenths.

What is the difference between the greatest number and the least number?

Answers

Answer:

A:25

B:860

C:620

D;85

E:

the difference is 835!
860-25=835

Nicky and his parents recently Immigrated to the United States from Syria. Nicky attends school and is having a hard
time learning about his new country. His parents are interested in what happens in their community as well. Which
feature of national Identity is likely to make it hard for them to feel a part of the United States?
Language
innovation
competition
form of government

Answers

Answer:

Language

Step-by-step explanation:

Nicky is having a hard time with school - competition and form of government may be eliminated.

The only reason this is here so the other guy can get brainliest

Help Help Help Help...What does it take for an orbiting spacecraft to escape its orbit?

Answers

Answer:

Manual Override??

Step-by-step explanation: I'm prop wrong

Answer:

To leave its orbit, the spacecraft must go very fast to break free of gravity.

Step-by-step explanation:

I really don't even remember learning this... PLEASE HELP. :) politely
I kind of already filled out some answer, please tell me if their wrong.

Answers

Answer:

Car C is going to have a constant of 55

Step-by-step explanation:

y=55x

y means that every hour you will have 55 miles

Car C haves 55 hope that helps!!

Lin was putting up lights for the holidays around the house. She put up 48 lights in her house and 36 of the lights were green. What percentage of the lights were green?

Answers

The answer is 23% because she always put them up over 48 - 36
23% because the percentage of the numbers. (sorry english is bad)

.
Explain the power of products property and give an example.

Answers

Answer:

We use the power of a product rule when there are more than one variable being multiplied together and raised to a power of something. The power of a product rule tells us that we can simplify a power of a power by multiplying the exponents and keeping the same base.

This is an example of the product of (powers property tells us that when you multiply powers with the same base you just have to add the exponents.)

90 is what percent of 150

Answers

Answer:

60%

Step-by-step explanation:

Divide: 3/4 divided by 2/5

2 and 1/5

3 and 3/4

2 and 3/5

1 and 7/8

Answers

number 4. .75/.4=1.875

Answer:

1 and 7/8

Step-by-step explanation:

[tex]\frac{3}{4}[/tex] ÷ [tex]\frac{2}{5}[/tex]

When dividing you have to flip the second number. When the fraction/number flips the problem will turn into multiplication.

[tex]\frac{3}{4}[/tex] × [tex]\frac{5}{2}[/tex]

Now just multiply them. 3×5 and 4×2

[tex]\frac{15}{8}[/tex]

Simplify the fraction

[tex]1\frac{7}{8}[/tex]

I hope this helps!

Rewrite the rational exponent as a radical expression (3 raised to 2/3) 1/6

Answers

11 over 18, i hope it’s right

Hi everyone this is the last question can you please help me for brainliest

Answers

I think that the answer is 8

Estimate the percentage: 6,683 of 20,489
a. 0.3% c. 3%
b. 43.3% d. 33.3% Explain

Answers

Answer: B

Step-by-step explanation: B

PLEASE PLEASE HELP ME

Answers

Answer:

d

Step-by-step explanation:

D is the answer I think

An employee placed Ask Your Teacher books onto each of 5 shelves. How many books did she place on the shelves in all?
A. 16
B. 80
C. 120
D. 245

Answers

Answer: we need to know how many books she placed on each shelf in order to answer this sorry

Step-by-step explanation:

Other Questions
Anabolic steroids can cause damage to which of the following?a.heartc.kidneysb.liverd.all of the abovescience Which statement is true about compounds?A: They do not form living things.B: They do not form non-living things.C: They are when electrons of different atoms combine.D: They are when atoms of different elements combine. There is no hard boundary between a coral reef and the open ocean. How does defining a boundary help scientists to better study a coral reef?A.Defining a coral reef boundary allows scientists to explain all ocean parts and interactions by studying the reef as a system.B.Defining a coral reef boundary allows scientists to focus on a smaller set of parts and interactions.C.Defining a coral reef boundary allows scientists to see how the parts of the reef interact with the parts of the rest of the ocean.D.Defining a coral reef boundary allows scientists to decide that the reef is not part of the ocean. Algebra 1 Final Exam 2020A repair bill for your car is $850. The parts cost $325, and the labor cost is $55 per hour. What is the context of the slope? HELP PLEASEEEEEEEEEEEEEEEEEEEEEE ITS A GRADE Describe why a negative times a negative equals a positive in your own words Determine the quotient of 1 and 2 over 3 divided by 4 over 5. 1 and 1 over 3 1 and 8 over 15 2 and 1 over 12 2 and 5 over 6 plz help!!! Asap Please help me with this! I will appreciate the help :) Question 10Which of these statements about entrepreneurs in a market system is FALSE?They take on very little risk in starting a business due to government control.BThey create jobs within an economy. .They have the profit motive as their incentive to start businesses.DThey decide how to use productive resources to create products. Who became the strongest voice in favor of African American civil rights?Leo FrankHoke SmithLugenia HopeWesley Dobbs How many elements are in NaC2H302? why are plublishing results imporant to science I need help plzzzzzzzzz whats the difference between point A (3,4) and B (-1,4) on a coordinate plane? write in detail about Gandhi non violence movement.long answer Each batch of cookie mix needs 0.4 cups of sugar, and each batch can make 16 cookies. If Ashley is making 4 batches of cookies, how much sugar does she need? Which two molecules are broken down in your cells during cellular respiration? Whoever is correct gets thanks and brainliest Which type of pricing strategy has gained popularity due to the increased use of the Internet?OA going-rate pricingO B.OC. value pricingOD. perceived-value pricingauction-type pricing Which is the graph of the equation y-1 =-1 =3(x-3)?106.-4.(34)2.-10-85--222488 10x-4-6.-8.10morang Two weeks in a row are rainy, cancelling Lizette's weeding sessions. When she gets back out to the garden, the weeds are huge. Lizette peeksunder the leaves of the weeds and observes some struggling radishes and carrots. They are small and yellowish and look unhealthy.Since it has rained for two weeks, she knows the plants have plenty of water. Which of the following must also be present for the vegetables to growand thrive?A foodB butterthesC DNAD cells be