Answer:
C
Step-by-step explanation:
(2x + 3)^5 = C(5,0)2x^5*3^0 +
C(5,1)2x^4*3^1 + C(5,2)2x^3*3^2 + C(5,3)2x^2*3^3 + C(5,4)2x^1*3^4 + C(5,5)2x^0*3^5
Recall that
C(n,r) = n! / (n-r)! r!
C(5,0) = 1
C(5,1) = 5
C(5,2) = 10
C(5,3) = 10
C(5,4) = 5
C(5,5) = 1
= 1(2x^5)1 + 5(2x^4)3 + 10(2x^3)3^2 + 10(2x^2)3^3 + 5(2x^1)3^4 + 1(2x^0)3^5
= 2x^5 + 15(2x^4) + 90(2x^3) + 270(2x^2) + 405(2x) +243
= 32x^5 + 15(16x^4) + 90(8x^3) + 270(4x^2) + 810x + 243
= 32x^5 + 240x^4 + 720x^3 + 1080x^2 + 810x + 243
Step-by-step explanation:
A chef uses 2/3 cup of flour for every 1/8 cup of water in a dough recipe.
It means,
2/3 cup = 1/8 cup of water

Hence, the constant of proportionality is 0.1875.
-3 -2 -1 0 1 2 3. If that’s confusing, it’s 0.
Answer:
4.5
Step-by-step explanation:
The sum of 3 and 7 is 10
then what number to you multiply 10 by to get 45
45 ÷ 10 = 4.5
so the answer is 4.5
Answer:
a) x = -1 and y = -10
Step-by-step explanation:
The first part says find the value of y when the value of x is -3. Then the second part of the question is to find the value of x when the value of y is 2.
so lets solve part a)

So answer to part a is x = -1 and y = -10
similarly try the other parts.