What two number mutiply to -240 but add up to 8

Answers

Answer 1
Answer: Let us assume the two unknown numbers to be "x" and "y".
Then
xy = -240
x = - (240/y)
And
x + y = 8
Now let us put the value of x in the second equation. We get
x + y = 8
-( 240/y) + y = 8
y^2 - 240 = 8y
y^2 - 8y - 240 = 0
y^2 - 20y + 12y - 240 = 0
y(y - 20) + 12(y - 20) = 0
(y - 20) (y + 12) = 0
So we can see that the unknown number y can have two values and hence the unknown number will also have two values.
When
y - 20 = 0
y = 20
Then
xy = - 240
20x = - 240
x = -12
So we can see that when y is equal to 20 then x is equal to -12 and when y is equal to -12 then x is equal to 20. So the two numbers are 20 and -12.

Answer 2
Answer:

Answer:

20 and 10

Step-by-step explanation:


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Evaluate the following function is f(x)=3x-2 and g(x)=5x+1 what is -2•f(4)+3•g(1)

Answers

Answer:

work is shown and pictured

PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE HELP!! WILL GET BRAINIEST IF YOU SHOW WORK 1. Simplify the radical


2. Simplify the radical


3. Simplify the radical


4. Simplify the radical

Answers

The simplification of the radical is c/3

What are radicals in math?

Radicals in math refer to expressions containing square roots or higher-order roots.

Represented by the radical symbol (√), they involve finding the root of a number. For example, √9 equals 3, as 3 * 3 equals 9.

Simplifying the surd;

√3c²)/√27

= √3 × √c²)/√9 × √3

= √3c/3√3

= c/3

Therefore the simplification of √3c²)/√27 is c/3.

learn more about radicals from

brainly.com/question/738531

#SPJ3

the root of 27 is 3root3.

Name the number that is one more than a given number.

Answers


Let's assign the variable 'n' to your given number. 

If the given number is 'n', then the number one more than 'n' can be shown in the expression n+1

Answer= n+1

Hayden is a manager at a landscaping company. He has two workers to landscape an entire park, Cody and Kaitlyn. Cody can complete the project in 8 hours. Kaitlyn can complete the project in 6 hours. Hayden wants to know how long it will take them to complete the project together. Write an equation and solve for the time it takes Cody and Kaitlyn to complete the project together. Explain each step.

Answers

Cody can do the job in  8  hours.
He does  1/8  of the job each hour.

Caitlyn can do the job in  6  hours.
She does  1/6  of the job each hour.

Working together, they do (1/8 + 1/6) of the job each hour.
Can you add those fractions ?
Change both to a denominator of  24.
1/8 = 3/24
1/6 = 4/24
                   (1/8 + 1/6) = (3/24 + 4/24) = 7/24

Working together, they do  7/24  of the job each hour.

Invert  (7/24  job/hour)  and you have  (24/7  hour/job) .

24/7  =  (3 and 3/7) hour/job.

Together, it takes them  3-3/7 hours.
(That's 3hours 25minutes 42.9 seconds.)

The question says "write an equation".

The equation could be     H (number of hours) = 1 / (1/8 + 1/6)

 

Part B: Factor x2 + 10x + 25. Show your work. (3 points)

Answers

x^(2) +10x+25 \n = x^(2) +5x+5x+25 \n =( x^(2) +5x)+(5x+25) \n =x(x+5)+5(x+5) \n =(x+5)(x+5) \n = (x+5)^(2)

What is the solution of the system? Use substitution.4x – y = 5
3x – 7 = 2
A) (3, 7)
B) (7, -7)
C) (-3, 7)
D) (3/4, 2/5

Answers

Hi

4x-y=5

3x-7=2

We need to solve 3x-7=2 for x

Let's start by adding 7 to both sides

3x-7+7=2+7

3x=9

Now just divide both sides by 3 so we can find the value for x

3x/3=9/3

x=3

Now substitute 3 for x in 4x-y=5

4x-y=5

(4)(3)-y=5

-y+12=5

Now add -12

-y=12-12=5-12

-y=-7

Divide both sides by -1 so we can eliminate the negative sign

-y/-1=-7/-1

y=3

The answer is A

(3,7)

I hope that's help:0