Mathematics Middle School

Fine two integers that have a sum of -17 and a product of 52. What are the integers?

Answers

Answer 1

Answer:

{4, 13}

Step-by-step explanation:

Represent the integers by I and J.  Then I + J = -17 and I*J = 52.

Let's solve this system using substitution.  Solve the first equation for I as follows:  

I + J = -17 becomes I = -J - 17

Substitute -J -17 for   I   in the second equation:

(-J - 17)*J = 52

Performing the indicated multiplication, we get:

-J^2 - 17J - 52 = 0

Let's solve this using the quadratic formula.  The quadratic coefficients here are {-1, -17, -52}, and so the discriminant, b^2 - 4ac, is

(-17)^2 - 4(-1)(-52), or 289 - 208, or 81.  This result is positive, so we know that the quadratic equation has two real, unequal roots.  They are:

      17 ± √81         17 ± 9

J =  --------------- = ---------------

         2(-1)                  -2

Evaluating this last result, we get J = (17 + 9)/2, or J = 13, and

J = (17 - 9)/2 = 8/2, or J = 4

Related Questions

Can somebody please help me out with this. We have to do it in point slope form

[tex]y - y_{1} = m( x - x_{1})[/tex]
​

Answers

To find m you to y2-y1/x2-x1 then plug the rest in

plzzz help meh I don't like this

Answers

Answer:

Up top it say 6cm

Step-by-step explanation:

But I can’t really see

16•6 is equal to 96cm

help me assp ASAP ASAP ASAP ASAP ASAP asap

Answers

Answer:

2 R 1

mmmmmmmm

i hope this helps :)

The numbers you need are on the picture--

Answers

Answer:

its 0.047

but for an extimation-

0.048

Step-by-step explanation:

I got 0.047 as my answer

please please help !!!

Answers

The answer is 5 I am almost positive

                                                 

it’s is definitely number 5

help pls it due today and i.d.k. what to do the one that said mean thats is the understanding o i but i dont understand it

Answers

to find the mean you add up all of the numbers that you see, then divide that total by the numbers you divided. in this case you would add 3+5+7+10+10+4+7+5+8+10+6. you should get 75. you added 11 numbers together so you would divide 75 by 11 to get 6.8
3+5+7+10+10+4+7+5+8+10+6=75

75/11=6.81

you add all the numbers together then you divide the answer by how many numbers you have


i hope this helps

If you can help with this problem I'll give u brainliest. You can only use each number once and there's no need to give an in-depth explanation, just where each number goes.

Answers

Answer:

a concave lens is exactly the opppostie with outer surfaces  curving inward, so it makes parallel light rays curve outward or diverge. That's why concave lenses are sometimes called diverging lenses. ... The distance from the center of the lens to the focal point is, again, the focal length of the lens.

Step-by-step explanation:

Pls help i need it now pls i will give 20points pls answer it correctly pls

Solve the system y = -x + 7 and y = -0.5(x - 3)^2 + 8

Answers

Step-by-step explanation:

-x+7=-0.5(x-3)^2+8

-x+7=-0.5x^10 -4.5^10

am I getting ...!?

Answer:

(-1,6) and (-7,0)

Step-by-step explanation:

-x+7=-0.5(x-3)^2+8

times both sides by -2

2x-14=(x-3)^2-16

expand

2x-14=x^2-6x+9-16

add 14-2x to both sides

0=x^2-8x+7

factor

0=(x-7)(x-1)

set to zero

0=x-7

7=x

0=x-1

1=x

so find y

y=-x+7

y=-1+7

y=6

or

y=-7+7

y=0

A store clerk is stocking the shelves. He places on the shelf a box of cereal that weighs 850 grams, a box of granola bars that weighs 385 grams, and a box of crackers that weighs 435 grams. What is the total weight in kilograms?

16.70 kilograms
1.670 kilograms
167 kilograms
1,670 kilograms

Answers

Answer:

1.670kg is the answer

Step-by-step explanation:

A baby girl weighed 18 lb 10 oz at 11 months and 20 lb 2 oz at 12 months. How much weight did the baby gain during this month?

Options:

A. 1 lb 2 oz
B. 1 lb 8 oz
C. 2 lb 2 oz
D. 2 lb 8 oz

Answers

Answer:

c and d

Step-by-step explanation:

Maths Equations if you solve it right I will give you the brainiest! Don't solve it only for points bc I will report you! if you can't solve it just leave it for someone who can.

Answers

1. 6 is greater than or equal to n
2. 1 is greater than x
3. X is less than or equal to 4
4. 1 is greater than n
5. K is greater than 3
6. -3 is greater than or equal to p
7. -1 is less than a
8. 8 is less an or equal to x
I hope this helps!

63.1% of 80 is what?

Answers

50.48 did this help yes no ?
are you sure you didn’t type the wrong numbers? I got 50.48 too

Help please I’ll give brainliest

Answers

Answer:

a

Step-by-step explanation:

A! Your probability is 3/6 which simplifies down to 1/2

What is the distance between (-2, -3) and (-4, 3)?

Answers

Answer:

2\sqrt(10)

Step-by-step explanation:

2, 10 squared

Hope this helped! Have a nice day! Plz mark as brainliest!!!

-XxDeathshotxX

(-2,6) I believe ......

When a number is decreased by 4%, the result is 66. What is the original number to the nearest tenth?

Answers

Answer:

68.8

Step-by-step explanation:  

100% = x number  

96% = 66  

so 100%  

= 68.75  

to the nearest tenth is 68.8

68.8 is the correct answer.

Mrs. Ruiz bought 6 gallons of gas for $18.18, 9 gallons of gas for $27.27, and 16 gallons for $48.48. Is the rate of change constant?

Answers

Answer:

one gallon is 3.03 dollars. I don't know is that helps.

Step-by-step explanation:

18.18/6=3.03

27.27/9=3.03

48.48/16=3.03

Answer:

62.93

Step-by-step explanation:

add the money and subtract it from the gallons

I think I got the first one
-3 + 1.2 = -1.8,
so if you could, please answer the other 3.

Answers

b. x = 6 . y = -2
c. y = -3 . xy = 24
d. x = 7 . y = -8

hope this helped
im pretty sure that's right! good luck

Leslie can buy 88-pound bag of dog food for $ 7.40$7.40 or a 44-pound bag of the same dog food for $ 5.38$5.38.
​Which is the better buy?

Answers

Answer:

$ 5.38 because it is less expensive and easier to bye

Step-by-step explanation:

compare the money value and total and then compare to find out which is the best one

Hey! Please help, I’ll give brainliest.

Answers

I think the correct answer is D. Or B.
C because the genes are what contain your parents features and/or traits

Thomas Jefferson School is building a new basketball court as seen below in orange. The blueprint is missing a dimension. 50 feet 17 inches 94 feet 37.6 inches Note: Drawing may not be to scale What should the width of the blueprint be?​

Answers

Answer:

Width of the blueprint should be 20.89 ft.

Step-by-step explanation:

It would so cool but 18 inches to me

( URGENT PLEASE HELP)!! Jack and his sister Jill have planned their training for running a 5K race. Since Jack is taller than Jill, Jill must take 5 strides for every 3 strides that Jack takes. Construct a table to represent this situation, showing five different ratios of strides.

Answers

Answer:

You make a line graph with Jack going up 5 every stride and Jill going up 3 every stride so the answer is 5/3

Step-by-step explanation:

Answer:

1:6

Step-by-step explanation:

i i devided 5 by 3.

How do you solve this please help

Answers

I’m pretty sure it’s 18
That square don’t in the corner is 90.
To find x you have to divide 2x
2x/2 = 90/2
X = 18

Briana bought a lot of snacks from Dollar General last night for $193.84, not including tax. If the tax rate was 9%, how much did she pay in taxes? Pls explain the answer and I will give brainliest

Answers

Answer:

$17.4456 in taxes

Step-by-step explanation:

193.84 / 100 == 1.9384 (this gives us 1%)

1.9384 X 9 = 17.4456 (this gives us the answer, 9%)

Can somebody please help me out with this. We have to do it point slope form.
[tex]y - y_{1} = m( x - x_{1})[/tex]
​

Answers

Explanation:

The formula y - y1 = m(x - x1) is usually described as the 'point-slope form' for the equation of a line. It is useful because if you know one point on a certain line and the slope of that certain line, then you can define the line with this type of formula and, thus, find all the other points on that certain line.

The owner of an audio store received a shipment of portable stereos at a cost of $88.90 each. If he sells the stereos for $152.99 each, what is the percent of markup? Round to the nearest whole percent.

Answers

He would get a profit of 64.09
64.09 or 64% because if you subtract 152.99 from 88.90 you get 64.09 and you round it to 64% because the 0 is under 5 so you lower it

I need help images below

Answers

Answer:

1) Option B.

The measure of angle b is 130 degree, and angles a and b are supplementary angles.

2) Option A.

Angle 1.

3) Option A.
^Thats what i also got

Brainliest to right answer wong answer or troll will get you reported

Answers

Answer:

I think its 84

Step-by-step explanation:

Answer:

The answer is 90

Step-by-step explanation:

15 ÷ 05 = 30

30 x 3.0 = 90 :)

God bless brainiest to right answer

Answers

Answer:

The answer is 3

Step-by-step explanation:

The answer your looking for is 3

Please please please HeLp!

Which of the following statements explains why using a credit card is similar to taking out a loan?



Both loans and credit cards are designed to help you save money on items you need.



Loans and credit cards are only used to purchase expensive items like cars or furniture.



You must own a house to get a loan or credit card.



Usually you pay back more money than you borrowed from a lender or credit company.

Answers

Answer:

usually you pay back more money then you borrowed

Step-by-step explanation:

I just know lol jk

loans and credit use interest when you pay back so in the end you pay back a bit more then you had originally paid

Please help ASAP ASAP ASAP asap

Answers

Answer:

2 would be on the top

10 would be on the bottom

1 would be way on the bottom

then the remainder will be 1

2 on the top

10 on the bottom

1 under the 10

the remainder is 1 :)
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