Select the correct answer. which expression is equivalent to this polynomial? 15x − 24 a. 3(5x − 24) b. 3(5x − 8) c. 5(3x − 8) d. 3(5x − 5)

B. 3(5x-8)

Step-by-step explanation:

Use the distributive property to propagate the multiplication by 3 over the terms:

3(5x-8) = 3*5x + 3*-8 = 15x - 24.

For this case we must find an expression equivalent to:

We take common factor 3. 3 is the largest number that divides 15 and 24 without leaving any remainder.

So, we have:

Thus, the equivalent expression is:

Option B

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)