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Stolb23 [73]
2 years ago
7

Evaluate the expression 2n - 6 if n = 16.

Mathematics
2 answers:
irinina [24]2 years ago
5 0

Answer:

26

Step-by-step explanation:

This is the answer because:

1) First, we have to substitue the value that stand for n into the equation:

2(16) - 6

2) Next, we have to follow the order of operations in order to find the answer:

1. 2 x 16 = 32

2. 32 - 6 = 26

Therefore, the answer is 26.

Hope this helps! :D

V125BC [204]2 years ago
3 0

Answer:

26

Step-by-step explanation:

2n-6

Given that:

n=16

To evaluate the expression, we must simply substitute the given value of n, which is 16, for n:

2(16)-6

Multiply:

32-6

Subtract:

26

-

To check your work, simply set the given expression equal to our solution, 26:

2n-6=26

Add 6 to both sides of the equation:

2n=32

Divide both sides of the equation by the coefficient of n, which is 2:

n=16

Since it matches the given value of n, our solution is correct!

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Step-by-step explanation:

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3 years ago
The graph below represents the solution set of which inequality?
natulia [17]

Answer:

option: B (x^2+2x-8) is correct.

Step-by-step explanation:

We are given the solution set as seen from the graph as:

(-4,2)

1)

On solving the first inequality we have:

x^2-2x-8

On using the method of splitting the middle term we have:

x^2-4x+2x-8

⇒  x(x-4)+2(x-4)=0

⇒ (x+2)(x-4)

And we know that the product of two quantities are negative if either one of them is negative so we have two cases:

case 1:

x+2>0 and x-4

i.e. x>-2 and x<4

so we have the region as:

(-2,4)

Case 2:

x+2 and x-4>0

i.e. x<-2 and x>4

Hence, we did not get a common region.

Hence from both the cases we did not get the required region.

Hence, option 1 is incorrect.

2)

We are given the second inequality as:

x^2+2x-8

On using the method of splitting the middle term we have:

x^2+4x-2x-8

⇒ x(x+4)-2(x+4)

⇒ (x-2)(x+4)

And we know that the product of two quantities are negative if either one of them is negative so we have two cases:

case 1:

x-2>0 and x+4

i.e. x>2 and x<-4

Hence, we do not get a common region.

Case 2:

x-2 and x+4>0

i.e. x<2 and x>-4

Hence the common region is (-4,2) which is same as the given option.

Hence, option B is correct.

3)

x^2-2x-8>0

On using the method of splitting the middle term we have:

x^2-4x+2x-8>0

⇒ x(x-4)+2(x-4)>0

⇒ (x-4)(x+2)>0

And we know that the product of two quantities are positive if either both of them are negative or both of them are positive so we have two cases:

Case 1:

x+2>0 and x-4>0

i.e. x>-2 and x>4

Hence, the common region is (4,∞)

Case 2:

x+2 and x-4

i.e. x<-2 and x<4

Hence, the common region is: (-∞,-2)

Hence, from both the cases we did not get the desired answer.

Hence, option C is incorrect.

4)

x^2+2x-8>0

On using the method of splitting the middle term we have:

x^2+4x-2x-8>0

⇒ x(x+4)-2(x+4)>0

⇒ (x-2)(X+4)>0

And we know that the product of two quantities are positive if either both of them are negative or both of them are positive so we have two cases:

Case 1:

x-2 and x+4

i.e. x<2 and x<-4

Hence, the common region is: (-∞,-4)

Case 2:

x-2>0 and x+4>0

i.e. x>2 and x>-4.

Hence, the common region is: (2,∞)

Hence from both the case we do not have the desired region.

Hence, option D is incorrect.




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Omar went to a Chicago Cubs game and purchased 1 pound of peanuts for $1.29. How much would 7 pounds of peanuts cost?
viktelen [127]

Answer:

$9.03

Step-by-step explanation:

if one pound of peanuts cost $1.29

and you want to know how much 7 pounds costs, you multiply $1.29 by 7.

$1.29×7=$9.03

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2 years ago
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