binomial theorem Expand (5a + b)5

Step-by-step explanation:

=

(5a+b)(5a+b)(5a+b)(5a+b)(5a+b)

woah, lets multiply 2 at a time:

(5a+b)(5a+b)=25a^2+10ab+b^2

(5a+b)(25a^2+10ab+b^2)=

125a^3+50a^2b+5ab^2+25a^2b+10ab^2+b^3

simplify:

(125a^3+75a^2b+15ab^2+b^3)(5a+b)=

(625a^4+500a^3b+150a^2b^2+20ab^3+b^4)(5a+b)=

3125a^5+3125a^4b+1250a^3b^2+250a^2b^3+25ab^4+b^5

hope this helps!

$9.89

step-by-step explanation:

9.90 = p x .06 x .25 (3/12 changed to a decimal)

9.90 = p x 0.015

9.90 - 0.015 = p

9.89 = p

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

the factor is 2

step-by-step explanation:

let f(x)=8(3^(x−2)+2)

to stretch a graph by 3, it would be 3f(x)

g(x) =3f(x)

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

x     −2     0     2     4     6

f(x) 1/64 1/16   1/4     1     4

1/64 * z * z = 1/16

i multiplies by z twice because it its 2 steps from -2 to 0

1/64 z^2 = 1/16

multiply by 64 to clear the fraction on the left side

1/4 * 64 z^2 =1/16 *64

z^2 = 4

take the square root of each side

sqrt(z^2) = ±sqrt(4)

z = ±2  

we are multiplying by 2 each time.