Which method would be the most efficient method to solve x^2-6=0

Answers

Answer 1

Answer: adding 6 to both sides and taking the square root, remember that x can be the poitivie and negative root
x^2-6=0
add 6
x^2=6
squaer root both sides
x=√6

x=+√6 and -√6

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The average annual rainfall for a town is 43.2 what is the average monthly rainfall

Answers

For this answer all you have to do is multiply 43.2 by 12 because there is 12 months in one year....your answer would be 518.4.

Find the 4th term of (x+2)^10

Answers

(x + 2)¹⁰

Would take the terms in reducing powers of x, and increasing powers of 2.

1st term = ¹⁰C₀ x¹⁰(2)⁰ = x¹⁰

Second term = ¹⁰C₁ x¹⁰⁻¹(2)¹ = ¹⁰C₁ x⁹(2)¹

Third term =    ¹⁰C₂ x¹⁰⁻²(2)² = ¹⁰C₂ x⁸(2)²

Fourth term = ¹⁰C₃ x¹⁰⁻³(2)³ = ¹⁰C₃ x⁷(2)³

So we shall now simplify the fourth term which is = ¹⁰C₃ x⁷(2)³

ⁿCr = n! /( r!(n -r)! )

¹⁰C₃ = 10! /( 3!(10 -3)! ) = 10! / (3!*7!) = (10 *9 * 8* 7!) / (3!*7!)

= 10*9*8 / 3! = (10*9*8) / (3*2*1) = 120

4th term = ¹⁰C₃ x⁷(2)³ = 120 *x⁷*(2)³ = 120*2³*x⁷

   = 120*8x⁷

   = 960x⁷

So the fourth term in reducing powers of x = 960x⁷

I hope this helped.

A students' choir contains 25 children and only 5 of them play the piano. If a child is selected at random, what is the probability that the child DOES NOT play the piano? Select all the right answers.

Answers

Answer:

probability that the child DOES NOT play the piano

$P(E^(-)) =(4)/(5)$

Step-by-step explanation:

A students' choir contains 25 children

n(S) =25

The number of students play the piano =5

Let 'E' be the event of the child play the piano so n(E) =5

The probability of that the child play the piano

$P(E) = (n(E))/(n(S))$

$P(E) = (5)/(25)= (1)/(5)$

Let 'E⁻ be the event of the child play does not play the piano

$P(E^(-)) = 1- P(E)$

$P(E^(-)) = 1- (1)/(5) =(4)/(5)$

Conclusion:-

probability that the child DOES NOT play the piano

$P(E^(-)) =(4)/(5)$

The leather of marshalls rectangular poster is 2 times its width. if the perimeter is 24 inches, what is the area of the poster

Answers

Well, the perimeter is the rim of the rectangle and you can use the rim to find the area... but, First you have to find the length and the width
if the width is two times the height when you flip that you get that the height is half of the width
So first you find that half of 24 is 12... this is our width
Now, what is half of 12... 6, this is our height
simple math tells us that to find the area you multiply that height and the width
6 * 12 = 72
so the area of the poster is 72 inches

A city is adding a brick border around the community garden. The garden has the dimensions of x ft by x ft. The dimension of the brick border are x + 12 ft by x + 12 ft. What is the area of the brick border

Answers

Answer:

The area of the brick border is $(24x+144)\ ft^(2)$

Step-by-step explanation:

we know that

The area of the brick border is equal to

$A=(x+12)(x+12)-(x)(x)\n \nA=(x+12)^(2) -x^(2)\n \nA=x^(2)+24x+144-x^(2)\n \nA=(24x+144)\ ft^(2)$

A grocery store sells chili peppers at $2.04 for a dozen. At this rate, what's the cost per pepper?

Answers

0.17 because you would do $2.04/12=0.17 so that would be the answer want to check it do 0.17*12=2.04 so 0.17 is your answer

There is a vfery simple way to answer this question, and that is to take your amount(in this case 2.04) and divide it by your rate(a dozen=12). 2.04/12=0.17.

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