# Which expression is equivalent to 3 + 4y – y(9 – 2y) + 5?

The expression 3 + 4y – y(9 – 2y) + 5 is equal to 2y² -5y + 8  . Possibility (B) is appropriate . Step-by-step rationalization: Because the expression given within the query be =  3 + 4y – y(9 – 2y) + 5 First open the bracket =  3 + 4y – 9y +2y² + 5 = 2y² -5y + 8 Subsequently the expression 3 + 4y – y(9 – 2y) + 5 is equal to 2y² -5y + 8  . Possibility (B) is appropriate .

3^2+5 3^7 jajajaja

Step-by-step rationalization: 3^2 ⋅ 3^−5 To multiply the exponents we apply exponential property Once we multiply the exponents with identical base then we add the exponents , each phrases has identical base . so we add the exponents. Now we make the exponent optimistic

-1/-3 Step-by-step rationalization: 2-3=-1 2-5=-3 -1/-3

Possibility b Clarification: The query is proven within the connected picture To reply this query, we’ll merely substitute within the given expressions with the values y=2 and y=5 The right choice would be the one having equal vales in each instances 1. Possibility a: At y = 2: 2y – 1 = 2(2) – 1 = 3 3y – 5 + y = 3(2) – 5 + 2 = 3 At y = 5: 2y – 1 = 2(5) – 1 = 10 3y – 5 + y = 3(5) – 5 + 5 = 15 This selection is inaccurate, since each expressions will not be equal at y = 5 2. Possibility b: At y = 2: 5y + 4 = 5(2) + 4 = 14 7y + 4 – 2y = 7(2) + 4 – 2(2) = 14 At y = 5: 5y + 4 = 5(5) + 4 = 29 7y + 4 – 2y = 7(5) + 4 – 2(5) = 29 This selection is appropriate, since each expressions are equal on the two vales of y 3. Possibility c: At y = 2: y + 7 = 2 + 7 = 9 y + 2 + y = 2 + 2 + 2 = 6 At y = 5: y + 7 = 5 + 7 = 12 y + 2 + y = 5 + 2 + 2 = 12 This selection is inaccurate, since each expressions will not be equal at y = 2 4. Possibility d: At y = 2: 3y – 4 = 3(2) – 4 = 2 3y – 2 + y = 3(2) – 2 + 2 = 6 At y = 5: 3y – 4 = 3(5) – 4 = 11 3y – 2 + y = 3(5) – 2 + 5 = 18 This selection is inaccurate, since each expressions are neither equal at y = 2 or y = 5 Hope this helps

Also Read :   The graph shows the function f(x). Which equation represents f(x)?

It will assist to have the query. However I will guess 2nd selection. I forgot the reason as a result of I used to be so glad to have puzzled out the query. The fourth root is identical because the 1/4 th energy.    If we all know x is optimistic We multiply the powers: The one-twentieth energy is the 20 th root.  We carry the extra issue of x to the entrance.

-5/7 Step-by-step rationalization: -3 3/7 + 2 5/7 -3 – 3/7 + 2 + 5/7 -3 + 2 + 5/7 – 3/7 -1 + 2/7 -5/7

C. Step-by-step rationalization: As a result of the expression simplified is 2y^3-5y+8, so the reply is C. Hope this helps! ~Angel