What two numbers have a product of -2 and a sum of 7

Answers

Answer 1

Greetings from Brasil...

According to the statement of the question, we can assemble the following system of equation:

X · Y = - 2      i

X + Y = 7       ii

isolating X from i and replacing in ii:

X · Y = - 2

X = - 2/Y

X + Y = 7

(- 2/Y) + Y = 7     multiplying everything by Y

(- 2Y/Y) + Y·Y = 7·Y

- 2 + Y² = 7X     rearranging everything

Y² - 7X - 2 = 0      2nd degree equation

Δ = b² - 4·a·c

Δ = (- 7)² - 4·1·(- 2)

Δ = 49 + 8

Δ = 57

X = (- b ± √Δ)/2a

X' = (- (- 7) ± √57)/2·1

X' = (7 + √57)/2

X' = (7 - √57)/2

So, the numbers are:

(7 + √57)/2

and

(7 - √57)/2

Related Questions

Ixl+2 | x | for all real numbers x,
O True
O False

Answers

The answer to this statement is true

-2(x+3)+5x=-39
please answerrrr

Answers

Answer:

x = -11

Step-by-step explanation:

-2(x+3)+5x = -39

distribute the -2 to what's inside the paranthesis

-2x -6 +5x = -39

combine like terms

3x - 6 = -39

add 6 to each side

3x = -33

divide each side by 3

x = -11

X=-11 is the answer

ABC shipping charges $7 plus $1 a pound to ship an overnight package. XYZ shipping charges $10 plus $0.75 a pound to ship an overnight package. For what weight is the charge the same for the two companies?

Answers

x = lbs

y = total cost

ABC shipping: $7 + $1x = y

XYZ shipping: $10 + $0.75x = y

We set each equation equal to the other.

$7 + $1x = $10 + $0.75x. Subtract $7 from both sides and subtract $0.75x from both sides

$0.25x = $3. Divide each side by $0.25.

x = 12 lbs

When a package is 12lbs the cost is the same.

a flight overbooked by 4 passengers as a integer

Answers

Answer:

k

Step-by-step explanation:

The integer representing a flight overbooked by 4 passengers is given as -

k = x + 4

What is Equation Modelling?

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is a flight overbooked by 4 passengers.

Assume that the total capacity of the flight is given by integer x.

Also assume that after over booked by 4 passengers, its capacity is given by integer k. So we can write the equation as -

k = x + 4

Therefore, the integer representing a flight overbooked by 4 passengers is given as -

k = x + 4

To solve more questions on equation modelling, visit the link below-

brainly.com/question/6593383

#SPJ2

PLSS HELP MaRking BRAINLIST

Answers

Answer:

A 1350/x :))))))))))))

The answer for this is A

what is tcreefp seaqur unscrambled

Answers

perfect square is the answers

Answer:

perfect square

Step-by-step explanation:

hope this helps plz give brainliest.

i need to know what order these go in!!! can someone help me answer this please and thankyouu

Answers

Answer:

PEMDAS: Parentheses, exponents, multiplication, division, addition, subtraction

ANSWER:

-parentheses and other grouping symbols from the inside out

-exponents

-multiplication and division from left to right

-addition and subtraction from left to right

1) parentheses and other grouping symbols 2) exponents 3) division and multiplication 4) addition and subtraction

*BEDMAS* (brackets, exponents, division, multiplication, addition, subtraction) for order of operations :)

Simplify.
y+ (15+ y)
15+ y
O 17 y
15 y
15 + 2 y

Answers

Answer:

15 + 2y

Step-by-step explanation:

explanation answer

= 15+2 y

Can an equation with the variable inside grouping symbols be written as a two step equation

Answers

Answer:

  yes

Step-by-step explanation:

In general, a linear equation with a variable anywhere can be written as a 2-step equation. (It may take several steps to get there.)

Example 1:

  2(3x +3) = 18 . . . original equation with variable in parentheses

  6x +6 = 18 . . . . . 2-step equivalent

Example 2:

  4(x -9) +6 = 3(2x +17) . . . original equation

  4x -36 +6 = 6x +51

  -30 = 2x +51 . . . . . . 2-step equivalent

Answer:

Yes

Step-by-step explanation:

a water tank is draining at a constant rate if after five minutes the tank is drained by 4.5 gallons what is the rate in gallons per minute at the tank is draining

Answers

Answer:

The rate is 0.9 gallon per minute

Step-by-step explanation:

Here, we have 4.5 gallons drained in 5 minutes but we are interested in calculating the rate per minute

Let the amount drained per minute be x

4.5 gallons = 5 minutes

x gallon = 1 minute

Let’s cross multiply;

x * 5 = 4.5 * 1

5x = 4.5

x = 4.5/5

x = 0.9 gallons


1) Jan is buying new flooring for her kitchen. The kitchen is a rectangle that is 3
meters long and 2 meters wide. How much flooring does Jan need to buy?

Answers

Answer:

6 meters of Flooring.

Step-by-step explanation:

I could be wrong but I’m pretty sure this question is Length x Width to find the Area of the “Room” or “Triangle.”. <3

Which equation has the solution n = 11?

Answers

3.3n- 6.7
I hope this is the answer to your solution

Answer:

3n + 12 = 45

Step-by-step explanation:

*Process of elimination*

___________________

3n + 12 = 45

(given)

_________

3n + 12 = 45

- 12 - 12

(subtraction property of equality)

__________________________

3n = 33

÷ 3 ÷ 3

(division property of equality)

_______________________

n = 11

_____

7n - 8 = 62

(given)

________

7n - 8 = 62

+ 8 + 8

(addition property of equality)

__________________________

7n = 70

÷ 7 ÷ 7

(division property of equality)

_______________________

n = 10 ≠ 11

________

8n + 6 = 102

(given)

________

8n + 6 = 102

- 6 - 6

(subtraction property of equality)

__________________________

8n = 96

÷8 ÷8

(division property of equality)

_______________________

n = 12 ≠ 11

________

5n - 20 = 25

(given)

________

5n - 20 = 25

+ 20 + 20

(addition property of equality)

__________________________

5n = 45

÷5 ÷5

(division property of equality)

_______________________

n = 9 ≠ 11

10 pts The equation y=mx + b goes through the points (6,-2) and (-6, -8). What is the value of m? (-6,-8) What is the value of b?​

Answers

Answer: m=1/2; b=-5

Step-by-step explanation:

We can use the given points to find slope, then use the y=mx+b equation to find the y-intercept. The formula for slope is [tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex].

[tex]m=\frac{-8-(-2)}{-6-6}=\frac{-6}{-12} =\frac{1}{2}[/tex]

Now that we know m=1/2, we can use that in y=mx+b to find the y-intercept. We can use any given point to plug into x and y.

y=1/2x+b                [plug in x and y]

-2=1/2(6)+b            [multiply]

-2=3+b                   [subtract both sides by 3]

b=-5

Now, we know that b=-5.

Consider this expression
[tex] \sqrt{a}^{3} - 7 + |b| [/tex]
When a = 2 and b = -4, the value of the expression is ____​

Answers

Answer:

I hope it will help you..

On putting the values in the algebraic expression, the value is [tex]\sqrt[3]{2}-3\\[/tex].

What is algebraic expression?

An algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations.

[tex]\sqrt{a} ^{3}-7+|b|\\ \\\sqrt[3]{2}-7+|-4|\\ \\\sqrt[3]{2}-3\\ \\[/tex]

Learn more about algebraic expression here

https://brainly.com/question/953809

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2/3(3x+2)zx. but z needs a value where there is no solution​

Answers

Answer:

did you ever get the answer by any chance im looking for the same thing sorry i didnt comment barainly didint let me so i put it on the answers

Step-by-step explanation:

A total of 61 people attended Tamaras party. Tamaras brother invited some of the guests. All people invited attended party. If Tamara invited 19 more people than her brother did, how many people did Tamara invite and how many people did her brother invite?​

Answers

This would mean Tamara invited 40 people and her brother invited 21.

Answer: Tamara invited 42 people

Step-by-step explanation:

61-19=42

If 3 is added to three quarters of a certain number ,the result is 30 .find the original number.

Answers

Answer:

X=36

Step-by-step explanation:

Let x be the unknown number

Three quarters of a number =3x/4

Three was added =3x/4 +3

Final

3x/4 + 3= 30

Multiply through with 4

3x+ 12=120

3x=120-12

3x=108

X=108/3

X=36

Suki is making lemonade to bring to the beach. She has two containers. One holds one gallon and the other holds 7 quarts. If she fills both containers, how many cups of lemonade will she have?

Answers

Answer:

40 cups

Step-by-step explanation:

Answer:                                                                                                                          

44 cups

......................................

help plz anything works

Answers

5 weeks -> $20

Divide 5:

1 week -> $4

Replace week with "w" and $ with "s"

[tex]w=4s[/tex]

There are about 16 km in 10 miles about how many kilometers are in 5 miles

Answers

Answer:

8km

Step-by-step explanation:

10 miles = 16 km

1 mile = 16/10km = 1.6km

5 miles = 1.6*5 km

= 8 km

Whoever (ANSWERS ) first will get brainliest!!!

IF you DO not show work or any explaining I'm not giving you Brainliest.

Answers

Answer:

A and D

Step-by-step explanation:

A) 10+2^3*4-1                     D) 10+(2^3*4)-1

10+8*4-1                                  10+(8*4)-1

10+32-1                                   10+32-1

42-1                                         42-1

41                                             41

O A counterclockwise rotation of 90° about the origin
O A counterclockwise rotation of 270° about the origin
A reflection over the y-axis
O A reflection over the x-axis

Answers

Answer:

A counterclockwise rotation of 270° about the origin

Step-by-step explanation:

Can someone help me???

Answers

Answer:6 feet 3 inches

Explaining-by dividing 84 by 16.8 you should find out the actual door is 5 times bigger than the photo,next all you have to d is multiply the theifs photo height by 5

After paying eight dollars for the pie, Mike has eighty - one dollars left, his friend has thirteen dollars. How much money did he have before buying the pie

Answers

Answer:

__ - 8=81

unsure if we're adding his friend but for this i assume no,

81+ 8 = 89

so its either 89 or

89+13=102

Solving Inequalities

Algebra 1​

Answers

Answer:

p [tex]\leq \\[/tex] 8

Step-by-step explanation:

Answer:

p[tex]\leq[/tex]8

Step-by-step explanation:

Step 1- Add 7 to both sides of the inequality.

New inequality:

[tex]\frac{p}{8}[/tex] [tex]\leq[/tex]1

Step 2- Now multiply by 8 on both sides of the inequality to get your answer.

Answer:

p[tex]\leq[/tex]8


Is 7.52 a rational number?

Answers

Answer:

It's a decimal number......

A store employee creates a display of sleds priced at $40 apiece the store paid $32 for each sled what is the mark up percentage

Answers

Answer:

122

Step-by-step explanation:

mutpily 4 the 40 from and 3 from the 32 u get 12and then put 2 at the end

1. Solve by elimination.
9x – 5 y = -12
-9x + 5y = 12
And show work pls

Answers

Answer:

9x – 5 y = -12

any point along this line

Step-by-step explanation:

9x – 5 y = -12

-9x + 5y = 12

Add the two equations

9x – 5 y = -12

-9x + 5y = 12

-------------------------

0x   + 0y   = 0

There are infinite solutions since the y are the same line

1/2(-10x+4)= -4(-3+2x)+8

Answers

Answer:

6 is the answer

Step-by-step explanation:

1. Solve each equation for x. a. X – 10 = 0 ​

Answers

Answer:
10

Explanation:
X-10=0
Combine like terms
X=0+10
X=10

I hope this helps! If it does, a brainliest would be much appreciated :)
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