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Elena L [17]
2 years ago
7

Given the equation square root of 2x-1=7 solve for x and identify if it is an extraneous solution. I came up with the answer 25

but is it an extraneous solution?
Mathematics
1 answer:
alexira [117]2 years ago
3 0

Step-by-step explanation:

To check if a solution is extraneous, simply plug it back into the original equation.  If it works, then solution isn't extraneous.

√(2x−1) = 7

√(2(25)−1) = 7

√(50−1) = 7

√(49) = 7

7 = 7

So the solution isn't extraneous.

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A party planner is making gift bags for an event. He has 96 pencils,
Yuliya22 [10]

Considering the greatest common divisor, you obtain:

  • the greatest number of gift bags that the party planner can make is 12.
  • the number of each item present in each bag is 8 pencils, 3 erasers and 2 pencil toppers.

<h3>Greatest common divisor </h3>

The greatest common divisor is the largest number that exactly divides two or more numbers at the same time. That is, it is the largest number by which two or more numbers can be divided, resulting in a whole number.

A method to calculate the greatest common factor must follow the following steps:

  • Decompose or separate each number into prime factors.
  • Common factors are noted.
  • In each of the commons, the factor with the smallest exponent is chosen.
  • Multiply the chosen factors.

<h3>This case</h3>

To find the greatest number of gift bags the party planner can make, you find the greatest common divisor.

To do this, decompose the numbers 96, 36 and 24:

  • 96= 2⁵×3
  • 36= 2²×3²
  • 24= 2³×3

The common factors with the smallest exponent are: 2² and 3

So, the greatest common divisor between 96, 26 and 24 is calculated as: 2²×3= 4×3= 12

This means that the greatest number of gift bags that the party planner can make is 12.

To calculate the number of each item present in each bag, you divide the quantity of each item by the quantity of gift bags:

  • 96 pencils÷ 12= 8 pencils
  • 36 erasers÷ 12= 3 erasers
  • 24 pencil toppers÷ 12= 2 pencil toppers

Finally, the number of each item present in each bag is 8 pencils, 3 erasers and 2 pencil toppers.

Learn more about greatest common divisor:

brainly.com/question/11993520

brainly.com/question/18635265

brainly.com/question/6032811

#SPJ1

5 0
1 year ago
Write the equation of the line that has a slope of 2 and passes through the point (-3,4).
Arte-miy333 [17]

Answer:

y = 2x + 10

Step-by-step explanation:

We are given the slope of the line and the coordinates of one point on the line.  Thus, we use the point-slope formula y - k = m(x - h).  Here m = 2, h = -3 and k = 4.  Therefore we have:

y - 4 = 2(x + 3)

which can be rewritten as y = 2x + 6 + 4, or y = 2x + 10 (Answer D)

4 0
3 years ago
A shipment to a warehouse consists of 4 large boxes weighing 18 1/2 pounds each, 2 medium boxes weighing 6 3/4 pounds each, and
VashaNatasha [74]

Answer:

99.75lbs.

Step-by-step explanation:

4 x 18.5=    74lbs

2  x6.75= 13.5

14x 7/8 =98/8=12.25

3 0
3 years ago
3<br> (<br> x<br> +<br> 7<br> )<br> &lt;<br> 7<br> (<br> x<br> +<br> 2<br> )
Gre4nikov [31]
3(x+7)<7(x+2)

Inequality Form: x>7/4
Interval Notation: (7/4, infinity)
5 0
2 years ago
Suppose that Prolog facts are used to define the pred- icates mother(M, Y) and father(F, X), which represent that M is the mothe
VikaD [51]

Answer and Explanation:

The Prolog rule expresses that logical implication (:-) describes the relationship between facts.

Prolog expressions are containing truth-functional symbols, which have the same intervention as in predicate calculus.

For example:  

English Predicate calculus prolog

and ^ ,

or v ;

By using information, given in the question,

We can make prolog:

Grandfather(X, Y)  :-mother(M,Y), father(X,M); father (F, Y), father(X,F)

Prolog (:- ) means define,

Prolog (,) represents a conjunction

And

Prolog (;) represent a disjunction

7 0
3 years ago
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