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egoroff_w [7]
3 years ago
15

Use the identity (x+y)(x^2−xy+y^2)=x^3+y^3 to find the sum of two numbers if the product of the numbers is 28, the sum of the sq

uares is 65, and the sum of the cubes of the numbers is 407.
Mathematics
2 answers:
lara31 [8.8K]3 years ago
4 0

Step-by-step explanation:

We have xy = 28, x² + y² = 65 and x³ + y³ = 407.

Since (x + y)(x² - xy + y²) = x³ + y³,

x + y = (x³ + y³)/(x² + y² - xy)

= (407) / [(65) - (28)]

= 407 / 37

= 11.

Hence the sum of the numbers is 11.

sukhopar [10]3 years ago
4 0

Answer:

The sum is 11

Step-by-step explanation:

Hope this helped have an amazing day!

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X^2 + 4x + 4 = 0<br>please help!! I missed class! show steps!​
Stels [109]

Answer:

x= -2

Step-by-step explanation:

Step 1. In order to find the zeros of the function, we must factor it.

Step 2. To factor this, we have to find  two numbers that multiply to 4 and add to 4 which is 2 ( 2*2=4 and 2+2=4)

step 3. 0=(x+2)(x+2)

Step 4 make (x+2) equal to zero and solve which gives us -2, so -2 =x.

7 0
3 years ago
The population of a city has increased by 15% since it was last measured if the current population is 43700 what was the previou
maks197457 [2]

Answer:

37,145

Step-by-step explanation:

43,700×15%= 6,555

43,700-6,555= 37,145

the previous population was 37,145

8 0
2 years ago
Write the sentence as an equation.
bearhunter [10]

The solution to a given word problem by writing it as an equation is k = 253/232

<h3>Expressing word problems in mathematical forms:</h3>

The process of expressing word problems in mathematical forms takes a logical and chronological approach while taking the variables and arithmetic operations given into consideration.

From the given information, to express the word problem in mathematical form, we have:

  • 253 = 232 × k
  • 253 = 232k

Making k the subject of the equation, we have:

k = 253/232

Learn more about expressing word problems here:

brainly.com/question/10556265

#SPJ1

5 0
2 years ago
The seating capacity of a theater is 250. Tickets are $3 for children and $5 for adults. The theater must take in at least $1100
maksim [4K]

Answer:

x + y ≤

3x + 5y ≥ 1100

Step-by-step explanation:

Given:

Seating capacity of theater = 250

Cost of each child ticket = $3

Cost of each adult ticket = $5

Cost per performance = $1100 at least

Find:

System of inequalities

Computation:

Let;

x = Number of children's tickets

y = Number of adult tickets

So

x + y ≤

3x + 5y ≥ 1100

5 0
2 years ago
Which of the following is an equation of the line that passes through the point (2, 2) and is parallel to the graph of the equat
pickupchik [31]

Answer:

B

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x - 1 ← is in slope- intercept form

with slope m = 3

Parallel lines have equal slopes, thus

y = 3x + c ← is the partial equation of the parallel line

To find c substitute (2, 2) into the partial equation

2 = 6 + c ⇒ c = 2 - 6 = - 4

y = 3x - 4 → B

4 0
3 years ago
Read 2 more answers
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