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Lynna [10]
3 years ago
9

Please help it's me! ​

Mathematics
1 answer:
Sever21 [200]3 years ago
6 0

9514 1404 393

Answer:

  5

Step-by-step explanation:

The left side simplifies to ...

  2x +16

The right side simplifies to ...

  2x +21 -__

The x-terms are already equal. To make the constant terms equal, we want ...

  16 = 21 -__

The blank must be filled with the value 21-16 = 5 to make the statement true.

5 goes in the blank.

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Can anyone please help me solve this one?<br>the result have to be in positive integers​
GalinKa [24]

Step-by-step explanation:

(a²-b²)(c²-d²) = a²c² - a²d² - b²c² + b²d²

(b²-d²)(c²-a²) = b²c² - a²b² - c²d² + a²d²

the sum of both is

a²c² + b²d² - a²b² - c²d² = a²(c²-b²) + d²(b²-c²) =

= a²(c²-b²) - d²(c²-b²) = (c²-b²)(a²-d²) = 2021

after a little check we find 2021 is only divisible by 43 and 47 (or 1 and 2021).

so, it is clear that our expression resembles

43×47 = 2021

that means that e.g. c²-b² = 43, and a²-d² = 47

or the other way around, it does not matter.

what squared integer numbers give a difference of 43 ? and 47 ?

squared numbers

1 4 9 16 25 36 49 64 81 100 121 144 169 196 225 256

289 324 361 400 441 484 529 576

aha ! 484 - 441 = 43

and 576 - 529 = 47

so, we get

a = sqrt(576) = 24

b = sqrt(441) = 21

c = sqrt(484) = 22

d = sqrt(529) = 23

one could also use the formula for consecutive squared numbers

(n+1)² = n² + 2n + 1

under the assumption that the 2 numbers are convective (which it turns out they are in this example) we get

(n+1)² - n² = 2n + 1 = 43

2n = 42

n = 21

n+1 = 22

and for 47

2n + 1 = 47

2n = 46

n = 23

n+1 = 24

4 0
3 years ago
Latitia asks an employee at her bank about any investment opportunities they can offer. The employee tells her that certificates
CaHeK987 [17]

Answer: The money has to remain in the account for a specified period of time.

5 0
3 years ago
Five times the quotient of some number and ten
german
The answer is going to be 5( n/10)
7 0
4 years ago
Job-sharing is an innovative employment alternative that originated in Sweden and is becoming popular in the United States (for
Veronika [31]

Answer:

a. The population of interest is:

xi. All workers in the U.S. who have participated in the job-sharing program

b. The variable that is being measured is:

viii. The percentage of the 1035 major firms surveyed which offer job-sharing to their employees

c. The sample selected is:

vi. The 1,035 firms surveyed

d. The parameter is:

v. Proportion of employees who are working mothers

e. The statistic is:

ix. 25% (stated as 23%)

Step-by-step explanation:

The parameter of a population is a fixed value calculated from every individual in the population.  It is different from a statistic, which is computed from a sample of the population.  The statistic is meant to approximate a population parameter.

3 0
3 years ago
PLS HELP ILL MARK BRAINLIST !!
andreev551 [17]

Answer:

Last option it should be

6 0
3 years ago
Read 2 more answers
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