Use the identity LaTeX: \left(x+y\right)\left(x^2-xy+y^2\right)=x^3+y^3 to find the sum of two numbers if the product of the numbers is 28, the sum of the squares is 65, and the sum of the cubes of the numbers is 407.

Enter your answer as a number, like this: 42

Answer:

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Answer:

2x+3y=9

2x+2-3y+1=8

2x-3y=8

2x-3y+3y=8+3y

2x=8+3y

2x=8+3y

2      2

x=8+3y

    2

2(x) +3y=9

2* (8+3y)/2 +3y=9

(16+6y)/2)+3y=9

2*(16+6y)/2)+3y=9

16+6y+6y=18

6y+6y=18-16

12y=2

12y = 2

12      12

y=2

  12

y=0.16666666666667

2x+3 (0.16666666666667)=9

2x+0.5=9

2x=9-0.5

2x=8.5

2x = 8.5

2       2

x=8.5

    2

x=4.25

Answer:

The picture is just a black screen. Please tell me the question in the comments and I will try to help!

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

9 = 1,3,9

5 = 1,5

4 = 1,2,4

9514 1404 393

Answer:

  52°, 40°, 88°

Step-by-step explanation:

Let x represent "one angle". This is 30% larger than "the other", so we have ...

  x = "the other" × (1 +30%)

  x/1.30 = "the other"

If x is 36° smaller than the third, then the third is x+36.

__

The sum of the angles is 180°.

  x + x/1.3 + (x +36) = 180

  x(2 +1/1.3) = 144

  x = 144/(2 +1/1.3) = 52

  x/1.3 = 52/1.3 = 40

  x +36 = 88

The angles of the triangle are 52°, 40°, and 88°.

Answer:

(X+4)(x-4)

Step-by-step explanation:

x^-16

=(X+4)(x-4)

Answer:

62.5 %

Step-by-step explanation:

The percentage, p of the ice cream that is chocolate is p = total number of chocolate ice cream cups/total number of ice cream cups × 100%

Given that there are 25 chocolate ice cream cups and 15 vanilla ice cream cups, total number of ice cream cups  = 25 + 15 = 40

So, p = total number of chocolate ice cream cups/total number of ice cream cups × 100%

p = 25/40 × 100%

p = 25/4 × 10 %

p = 6.25 × 10 %

p = 62.5 %

Answer:

5.86

Step-by-step explanation:

1 gram = 100 centigrams

Answer:

C

Step-by-step explanation:

We want to simplify the rational expression:

[tex]\displaystyle \frac{n^4-11n^2+30}{n^4-7n^2+10}[/tex]

First, we can factor both the numerator and the denominator. This yields:

[tex]\displaystyle =\frac{(n^2-6)(n^2-5)}{(n^2-2)(n^2-5)}[/tex]

Cancel like terms:

[tex]\displaystyle =\frac{(n^2-6)}{(n^2-2)}[/tex]

However, since we canceled a term from our expression, we must place restrictions in order to stay true to the original expression.

Rational expressions are undefined whenever the denominator equals 0. The denominator is (before canceling):

[tex](n^2-2)(n^2-5)=0[/tex]

Solve for n. By the zero product property:

[tex]n^2-2=0\text{ and } n^2-5=0[/tex]

Therefore:

[tex]n^2=2\text{ and } n^2=5[/tex]

By taking the square root of both sides (since we are taking an even root, it is required to have plus/minus):

[tex]n=\pm\sqrt{2}\text{ and } n=\pm\sqrt5[/tex]

Therefore, our fully simplified expression is:

[tex]\displaystyle \frac{n^2-6}{n^2-2}\, ,n\neq \pm\sqrt5, \pm\sqrt2[/tex]

Hence, our answer is C!

Answer: 16:24

Step-by-step explanation:

add the ratio so 2+3=5

Divide from 40 so 40/5=8

multiply by individual ratios

2*8:3*8= 16:24

Answer:

FV= $10,714.81

Step-by-step explanation:

Giving the following information:

Initial investment= $7,567

Number of periods= 7*4 = 28 quarters

Interest rate= 0.05/4= 0.0125

To calculate the future value, we need to use the following formula:

FV= PV*(1+i)^n

FV= 7,567*(1.0125^28)

FV= $10,714.81

Answer: health, safety, morals and general welfare.

Step-by-step explanation: Governments have justified their actions in determining how land is used with the four interests of health, safety, morals, and general welfare.  

(PLEASE MARK BRAINLIEST)

what microsofttamurchen said

Step-by-step explanation:

GIVE THEM BRAINLIEST !!

Answer: the answer is 66

Step-by-step explanation: 180-90-24=66

Well the sum of all the angles of a triangle is 180˚ so 24+90=114˚

180˚-114˚=66˚.

Answer:

multi media is the computer system that has graphics, animation, text, video , etc

Answer:

0.2

Step-by-step explanation:

1 divided by 5

2/5=0.4

3/5=0.6

4/5=0.8

5/5=1

Answer:

b

Step-by-step explanation:

Given :

John can play 12 songs on his guitar but learns 1 new song every week. Aiden can play 4 songs but learns 2 every week.

To Find :

How many weeks will it be before Aiden knows as many songs as john?

Solution :

Let, after x weeks Aiden know a songs and John know j songs.

The linear equation for both the situation is :

a = x + 12       .....( For Aiden )

j = 2x + 4       ......( For John )

We need to find in which week Aiden knows as many songs as John.

For this , a = j

x + 12 = 2x + 4

x = 8

Therefore, in 8th week both of them know the same number of songs.

The value of t for which the given expression 2x²+tx+10 will be a product of two binomial is 9.

A binomial expression is an expression that has two terms.

In order to get the value of t for which the given expression 2x²+tx+10 will be a product of two binomial. We need to find a number(A) that is when broken into two other numbers(B and C), the sum of these numbers(B and C) is the number itself(A). Also, the product of the two numbers is equal to the product of the rest two terms of the expression(2 and 10).

Therefore, the number that fulfills this condition is 9. Let's check by substituting the value of t as 9.

[tex]2x^2+tx+10\\\\= 2x^2+9x+10 \\\\= 2x^2+5x+4x+10\\\\ = x(2x + 5)+2(2x+5)\\\\= (x+2)(2x+5)[/tex]

Hence, the value of t for which the given expression 2x²+tx+10 will be a product of two binomial is 9.

Learn more about Binomial:

https://brainly.com/question/3560614

Answer:

The coordinate of the midpoint is -2 1/2.

Step-by-step explanation:

Think of "midpoint" as "average" in this problem.  The average of the endpoints -10 and 5 is (-10 + 5)/2, or -5/2, or -2 1/2

Answer:

47(whatever the unit is square)

Step-by-step explanation:

Answer:$54

Step-by-step explanation:

60(0.9) = $54

answer:

$54

step-by-step explanation:

60 X 90% - - > 60 X 0.90

60 X 0.90 = 54

= $54

Answer:

7 rides

Step-by-step explanation:

38 - 10 (entrance fee) = $28 to spend on rides

if it's $4 per ride, we can divide the remaining money ($28) by the cost of each ride ($4)

28 / 4 = 7

Therefore, she can ride 7 rides

7 walks and a ticket

I'm from Mexico

Answer:

∅ = 22.33°

Step-by-step explanation:

tan 28° = h/15

0.5317 = h/15

h = 7.98

sin ∅ = h/21

sin ∅ = 7.98/21

sin ∅ = 0.38

∅ = 22.33°

Answer:

4x^3+6x^2-15x+6

Step-by-step explanation:

Answer:

[tex]4x^2 + 6x^2 - 15x + 5[/tex]

Step-by-step explanation:

Hello!

We can add like terms.

The terms that we see here are [tex]x^3, x^2, x,[/tex] and integer values.

We can combine like terms by adding the coefficients.

Order: Highest degree to lowest degree. The final expression is [tex]4x^2 + 6x^2 - 15x + 5[/tex]

Answer:

-2x - 8 < 2

-2x < 10

x > -5

Answer:

Step-by-step explanation:

250 students are in the 6th grade have a good night it is night hear if you live in America east side 10:34 PM

9514 1404 393

Answer:

  50°

Step-by-step explanation:

Angle DEG is also angle DEC. It subtends arc DC as does inscribed angle DFC. Inscribed angles that subtend the same arc have the same measure.

  ∠DFC = ∠DEG = 50°

Answer: 50

Step-by-step explanation: Khan Academy

Answer:

Option D is your answer ☺️☺️☺️