What are two numbers that have a product of - 40 and have a sum of 18?

Answers

Answer 1

Step-by-step explanation:

xy = -40 and x + y = 18

=> x(18 - x) = -40

=> 18x - x² = -40

=> x² - 18x - 40 = 0

=> (x - 20)(x + 2) = 0

=> x = 20 or x = -2.

The two numbers 20 and -2.

Answer 2

Answer:

let the numbers be x and y

[tex]xy = - 40 - - - (i) \\ x + y = 18 - - - (ii) \\ from \: (ii) \\ x = 18 - y \\ substitute \: for \: x \: in \: (i) \\ (18 - y)y = - 40 \\ 18y - {y}^{2} = - 40 \\ {y}^{2} - 18y - 40 = 0 \\ use \: the \: quadratic \: equation \: to \: get \: y \\ and \: y \: will \: give \: u \: x[/tex]

x = 20

hence y = 18-20

y = -2

or

x = -2

hence y = 18-(-2)

y = 20

The numbers are -2 and 20


Related Questions

29.8 ft
what’s the area

Answers

Answer:

The area is 888.04 square ft

Find the slope of the line graphed below.

Answers

Answer:

Slope: -3/5

Step-by-step explanation:

Answer:

-3/5 would be the slope

Explanation

PLEASE HELP I NEED IT I WILL MARK BRAINLIEST

Answers

Answer:

y = (1/12)x^2

Step-by-step explanation:

The vertex of this parabola is halfway between (0, 3) and the directrix, y = -3; that is, it's at (0, 0).

The applicable equation for this vertical parabola is 4py = x^2, where p is the distance between the vertex and the focus.  Here that distance is p = 3.

Thus, 4py = x^2 becomes 4(3)y = x^2, or 12y = x^2, or y = (1/12)x^2.

Have  a good day!

-Millie

Which is the constant of proportionality for the relationship shown in the graph?

Answers

Answer:

COP: 2X

Step-by-step explanation:

K= Y/X

K= 4/2

K= 8/4

K= 12/6

K=16/8

Solve for
x
2
(
x

7
)
=
x

2

Answers

first you distribute the 2 to the x and -7 so that would equal 2x and -14. then you subtract x by both sides. then you would have x-14=-2 you want to get rid of the -14 on the left side so you would need to add it to both sides and you would get x=12

The local newspaper has letters to the editor from 10 people. If this number represents 5% of all the newspaper's readers, how many readers does the newspaper have?

The newspaper has ___ readers.

Answers

Don’t know if I’m right but 50%

Answer:

200 readers

Step-by-step explanation:

question is:  5% of what number is 10

is  =  percent

of           100

is = 10

of = unknown (call is 'n')

5% = 5/100

10  =  5  

x        100

now, cross-multiply:  5x = 1000

divide each side by 5

x = 200

What is the solution to the system of equations? Two-thirds x minus one-third y = negative 2 Negative 2 x + y = negative 6 There is no solution. There are infinitely many solutions. There is only one solution, (2, –2). There is only one solution, (–2, –10).

Answers

Answer:

there no solution

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

4.139=4+ ?/100+?/1000

Answers

4.139=4+1/10+3/100+9/1000

Please solve it I will give you 30 points

Answers

Answer:

1. (2x^2+x-1)

Step-by-step explanation:

expanding (2x^2-1)^2. multiplying (x-2) (1-2x)

= 4x^2-4x+1. = x-2x^2-2+4x

= -2x^2+5x-2

(4x^2-4x+1-2x^2+5x-2)

=2x^2+x-1

Answer:

1.) (2x - 1)(x + 1)

2.) a = 6 ; b = -1

4.a.) x = all rational numbers excluding (-2÷3)

4.b.) x = -1

4.c.) Yes. x = 1÷2

Step-by-step explanation:

E(x) = (2x - 1)² + (x - 2)(1 - 2x) F(x) = ax²-bx-2

F(1) = 5 ; F(-2) = 20

a-b=7 ; 4a+2b=22

3.Answer) Q(x) = 6x² + x - 2

= 6x² + 4x - 3x - 2

= (3x + 2)×(2x - 1)

Hence verified!

P(x) = E(x) ÷ Q(x)

= (x + 1)÷(3x + 2)

Here, x belongs to,

[tex]( - \infty \: to \: - 2 \div 3) union( - 2 \div 3 \: to \: \infty )[/tex]

Means, except x = -2÷3 , all real numbers are valid excluding complex numbers.

P(x) = (x + 1)÷(3x +2) = 0

= > x = -1

For each offspring genotype in the Punnett square you just completed, determine the phenotype. In other words, what is the predicted fur color and eye color of the offspring? Using your Punnett square from the last step, fill in the predicted fraction for each phenotype in the data table below. (other ppl got it wrong, so here is the answer)

answer:
(predicted fractions)
16/16
0/16
0/16
0/16

(predicted percentage)
100%
0%
0%
0%

Answers

Answer:

(predicted fractions)

16/16

0/16

0/16

0/16

(predicted percentage)

100%

0%

0%

0%

1. Which expressions are equivalent
to 16?
Select each correct expression.

Answers

Answer:

1^16

8^2

16^1

Step-by-step explanation:

These are the answers because they equal up to 16 like the question asks.

1x16= 16  (1^16)

8x8= 16 (8^2)

16x1= 16 (16^1)

Could someone pls help me if you know it thank you!:)

Answers

Answer:

30

Step-by-step explanation:

The full pie chart will equal 100%

So we can add all the percentages together and then subtract that percentage from 100 and whatever's left is the parentage that they attend school.

12+3+5+10+5+35

70

100-70

30

They spend 30% attending school

Don't be afraid to reach out for further assistance. Hope this helps!

i have no idea what the answer, please help me

Answers

Answer:

43°

Step-by-step explanation:

-the interior angle of a triangle always adds up to 180°

- angles that form a straight line always adds up to 180°

- the angle at 75° has the angle of 105° to add up to 180°

- the triangle needs a full degree of 180, but only affs up to 137° (105° + 32°) so you have to subtract the 137° from the total amount you need(180°) which gives you the answer of 43°

Answer:

Step-by-step explanation:

it cant be 73° then it would look about the same size as 75°

and it cant be 15° cause it would look smaller than 32°.

so in my Opinion it looks like it would be 43°.

sorry if its wrong

I WILL BRAINLIEST !!!

Mike is mixing paint for his walls. He mixes
1/6 gallon blue paint and
4/9 gallon green paint in a large container.

What fraction represents the total amount of paint Mike mixes?

Answers

Answer:  11/18

=======================================================

Explanation:

We need to add the fractions, but first we need to get each fraction to have the LCD (lowest common denominator) of 18

18 is the LCM of the denominators 6 and 9

The fraction 1/6 turns into 3/18 when multiplying top and bottom by 3

The fraction 4/9 turns into 8/18 after multiplying top and bottom by 2

Therefore,

(1/6) + (4/9) = (3/18) + (8/18) = (3+8)/18 = 11/18

So Mike has a total of 11/18 of a gallon of paint when combining the two given amounts 1/6 a gallon of blue paint and 4/9 of a gallon of green paint.

How many solutions does the system have?
y=3x-1
y=-2x+4

Answers

Answer:

This system has one answer.

Step-by-step explanation:

This system only has one answer which are: x=1  y=2

Hope this helped! :)

Answer:

(y,x) =(14,5)

Step-by-step explanation:

im in 10th grade

What is the slope of the line that passes through the following g points
(6,3) and (4,-2)

Answers

Answer:

2.5

Step-by-step explanation:

The slope of the line is; [tex]\frac{rise}{run}[/tex] and can be found using the formula;

[tex]\frac{y_{2} - y_{1}}{x_{2}-x_{1}}[/tex]

Given the points;

( 6, 3 ) and ( 4, -2)

Substitute the points in and solve;

[tex]\frac{(-2) - (3)}{(4) - (6)}[/tex]

[tex]\frac{-5}{-2}\\\\\frac{5}{2}\\\\= 2.5[/tex]

You just found out you have to have a cavity filled! UGH! The dentist
office informs you that a filling usually costs $150, but that sometimes it
can vary but that it will only vary AT MOST $20. What is the range of cost
you can expect to pay for your filling?

Answers

Answer:

It could be anywhere from $130-$170

Help me do this math problem
C= 59(F−32)

Answers

Answer:

c=59f-1888

f=[tex]\frac{c}{59}+32[/tex]

Step-by-step explanation:

Hope this helps!

Anyone know the answer?

Answers

Answer:

4.5

Step-by-step explanation:

4.5 is your answer ....&..&.&.8

sean has to face a big problem but he becomes stronger as a result which saying best summarizes the change in Sean?
A.A switch in tie saves nine
B.be careful what you wish for
C.pride comes before a fall
D.every cloud has a silver lining
Please help me I WILL give brainless <33

Answers

Answer: D. every cloud has a silver lining

The cloud represents a dark, scary, or sad moment. This is in contrast to the sun which metaphorically represents energy and happiness. The cloud sometimes covers up the sun to cover up those happy moments so to speak.

Despite the cloud being present, there's a silver lining to the cloud which represents some positive aspect a person didn't expect to happen. In this case, the problem allows Sean to get stronger. So this is an opportunity for his growth.

A dump truck bar 1/3 of a ton of rocks on the 1st beat trip when half of a ton on the 2nd trip and forfeits of a tone on the 3rd trip what was the total way of the rock.

Answers

Answer: 1/30

Step-by-step explanation:

Here's the correct question:

A dump truck brought 1⁄3 of a ton of rock on the first trip, 1⁄2 of a ton on the second trip, but on the third trip, had to take back 4⁄5 of a ton. What was the total weight of the rock left at the construction site?

To calculate the the total weight of the rock left at the construction site goes thus:

= 1/3 + 1/2 - 4/5

The lowest common multiple of 3,2 and 5 is 30. Therefore, we'll make the fractions have a common denominator.

= 1/3 + 1/2 - 4/5

= 10/30 + 15/30 - 24/30.

= 1/30

helpppppppppppppppppp​

Answers

y+9=-4(x+2)
y+9=-4x-8


Final answer: 4x+y=-17

Simplify each of the expressions below. Which of the expressions have a value between 0 and 10? Select all that apply.

Answers

Answer:

A and B

Step-by-step explanation:

A euqlas 4, B equals 5, c is -3 and d is -11

NEED HELP ASAP!!!
Carlos and his family are driving to California for vacation. The trip is 1,146 miles and they drive at an average speed of 56 mph. Which equation would give the number of miles remaining until they reach their destination, M, in terms of h, the number of hours they have driven? А. M= 1,146 + 56h
B. M= 56 - 1,146h
C. M= 56 + 1,146h
D. M= 1,146 - 56h​

Answers

Answer:

D. M = 1,146 - 56h

Step-by-step explanation:

I beleive that this answer is the most reasonable because we arent adding miles to the trip we are taking away. Also subtracting from 56 would result in a negative answer and that really doen't make sense because they still have more miles to travel before they reach their destination.

Pls help and show workings

Answers

The equation for line r is
y=-1/3x+5
Perpendicular slope would be 3 and passes through (3,-6)
-6=3(3)+b
-6=9+b
-9. -9
-15=b
y=3x-15
Plug in the x value of the point to see if it’s true
y=3(3)-15
y=9-15
y=-6
So the equation is y=3x-15 so the answers is c
3x-y=15
-3x. -3x
-y=-3x+15
Divide everything by -1
y=3x-15

When building a car, you can choose from 3 colors, 3 interiors, 3 sound systems, 3 kinds of tires, and 3 seat coverings. How many combinations are possible if you are making two distinct cars?

Answers

There are 455 combinations possible

anyone know this? cuz i'm confused

Answers

Answer:

y =37

x=12

z=131

Step-by-step explanation:

The angles of the left triangle are 59, 84 , y

They sum to 180

59+ 84+ y = 180

143 +y = 180

y = 180-143

y =37

The angles of the right triangle are 104,64,x

They sum to 180

104+64+x

168+x=180

x = 180-168

x=12

The angles of the middle triangle are x,y,z

They sum to 180

x+y+z

12+37+z = 180

49+z =180

z = 180-z

z=131

You know that the total measure of the angles in a triangle is 180 degrees.

You can use this to find angles x and y.

The angles of one of the triangles are x, 104, and 64. This means x would be 12.

104+64+x = 180

x = 180-104-64

x = 12

Use this same method to find y. The angles of the triangle y is in are 84, 59, and y. This means y is 37.

84+59+y = 180

y = 180-84-59

y = 37

Now you have x and y. The angles x, y, and z share one triangle. You can use this to find z.

x+y+z = 180

You know that x is 12 and y is 37.

12+37+z = 180

z = 180-12-37

z = 131

So...

x = 12

y = 37

z = 131

What is the general form of the equation 2x+3y=9

Answers

Answer:
y=-2x/3+3

Explanation:
2x+3y=9
-2x -2x

3y=-2x+9
3y/3= -2x/3+9/3
y=-2x/3+3

Hope this helps!!

A room in the shape of a rectangular prism measures 15 feet by a feet by 12 feet. Write a simplified expression for the volume (in cubic feet) of th
room

Answers

Answer:

5x3

Step-by-step explanation:

Andre shot three arrows and they landed at (-5,4),(-8,7),and(1,6). What is his Total score? Explain your reasoning

Answers

I've attached the graph showing the colored regions of the archery target.

The scores for the colored regions are;

Yellow: 10 points

Red: 8 points

Blue: 6 points

Green: 4 points

White: 2 points

Answer:

16

Step-by-step explanation:

From the graph, At coordinate of (-5,4), the colored region is blue which means a score of 6 points.

From the graph, At coordinates of (-8,7), the colored region is red which means a score of 8 points

From the graph, At coordinates of (1,6), the colored region is white which means a score of 2 points

Thus, total score = 6 + 8 + 2 = 16

Step-by-step explanation:

Here are the scores for landing an arrow in the colored regions of the archery target.  

Yellow: 10 points

Red: 8 points

Blue: 6 points

Green: 4 points

White: 2 points

Andre shot three arrows and they landed at (-5,4),(-8,7),and(1,6). What is his Total score? Explain your reasoning

A. 14

B.16

C. 5

D 12

Answer: the answer is A. 14 i took the test and i got it wrong because i put B. 16 because of the answers of this question but the correct answer is A. 14

please correct me if i am wrong

Other Questions
Given the reaction: 4NH3 + 502 4NO + 6H2OWhat is the total number of moles of NO produced when1.0 mole of O2 is completely consumed? About what percentage of the Greek islands are inhabited?A. five percentB. seventy-two percentC. one hundred percentD. twelve percent According to the Department of Health and HumanServices, 30% of 18- to 25-year-olds have some formof mental illness.What is the probability AT LEAST one of six randomlyselected 18- to 25-year-olds have some form of mentalillness? Round to the nearest thousandth. What organization was not created during the war years? Which of the following pairs a land cover with its most appropriate use What is the slope-intercept equation of this line? A. y=-2x+6 B. y=2x+6 C.y=-1/2x+6 D.y=6x-2 When US army prosecutor William Denson later began what were called the Dachau trials, he named 40 camp officials as defendants. The officials did not deny their involvement with Dachau camp, but many denied that prisoners were treated harshly or killed while under their care. Denson was not worried about proving them wrong. Which fact would Denson MOST likely use to his advantage when looking for evidence of how prisoners at Dachau were treated? One of Motown's first concept albums, What's Going On, was released by:A stevie wonderB sam cookeC smokey robinsonD marvin gaye 4. Lead has a density of 11.5g/cm3. A rectangular block of lead measures 7cm 5cm2cm. a) Find the volume of the block of lead. b) Find the mass of the block of lead PLS HELP BRAINLIEST ND EXTRA POINTS !From the trade fairs in France, Germany, and Holland, river and land trade routes carried goods such as wool, wheat, and precious metals into the region. The widespread trade that stretched from Egypt to the Baltic created large financial surpluses that allowed big investments in mining and agriculture. What region is being described in this passage? A. northern Italy B. sub-Saharan Africa C. northern England D. southern Spain Am i right 73 points and no spammingEnter the missing numbers in the boxes to complete the table of equivalent ratios Need help with these please please please please help me PLEASE HELP! URGENT!! WORTH 50 POINTS!which property is shown by -6 + 0 = -6? 1: Identity property of addition2: Distributive Property3: Associative property of addition. please answer the slope of this graph Quel solide peut-on former avec ce dveloppement? Please help me!-temperature-ocean-climate any alliance whose purpose is not the intention to wage war is senseless and useless. - Adolf Hitler read the quote from Adolf Hitler. even though hitler was merely a soldier during WWI, this quote is very telling about the alliances created before the war. explain what hitler means by this quote. I dont know what to do plz help will mark brainliest if correct HELP ITS DUE SOOOONNNN