Write as a product of two polynomials
a) 3a(2x–7)+5b(7–2x)
b) (x–y)^2–a(y–x)

a) (3a-5b)(2x-7) or (-3a+5b)(7-2x)

b) (x-y)(x-y+a) or (y-x)(y-x-a)

Step-by-step explanation:

a) 3a(2x-7)+5b(-(-7+2x))

3a(2x-7)-5b(2x-7)

(3a-5b)(2x-7)

3a(-(-2x+7))+5b(7-2x)

-3a(7-2x)+5b(7-2x)

(-3a+5b)(7-2x)

b)(x-y)^2-a(-(-y+x))

(x-y)^2+a(x-y)

(x-y)(x-y+a)

(-1(-x+y))^2-a(y-x)

(1(y-x)^2-a(y-x)

(y-x)(y-x-a)

8

step-by-step explanation:

to find the amount of gift bags to use all the supplies, find the gcf or greatest common factor. this is the largest number which multiplies evenly into each term.

48 has factors: 1, 2, 3, 4, 6, 8, 12. 16, 24, 48

80 has factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

64 has factors: 1, 2, 4, 8, 8, 16, 32, 64

the highest number factor they all share in common is 8. this means there will be 8 bags with 6 pencils, 10 markers, and 8 stickers in each bag.

hello,

b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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