Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

What is the value of the expression below when 
w=4 ?

7w^(2)-7w-3
Answer:

What is the value of the expression below when w=4 w=4 ?\newline7w27w3 7 w^{2}-7 w-3 \newlineAnswer:

Full solution

Q. What is the value of the expression below when w=4 w=4 ?\newline7w27w3 7 w^{2}-7 w-3 \newlineAnswer:
  1. Substitute w=4w=4: Substitute the value of ww into the expression.\newlineWe are given the expression 7w27w37w^{2}-7w-3 and we need to substitute w=4w=4 into this expression.\newline7(4)27(4)37(4)^{2} - 7(4) - 3
  2. Calculate square of ww: Calculate the square of ww, which is 44 in this case.\newline(4)2=16(4)^{2} = 16\newlineNow we can rewrite the expression with this value.\newline7(16)7(4)37(16) - 7(4) - 3
  3. Multiply by 77: Multiply 77 by the square of ww. \newline7(16)=1127(16) = 112\newlineNow the expression looks like this:\newline1127(4)3112 - 7(4) - 3
  4. Update expression: Multiply 77 by ww, which is 44. \newline7(4)=287(4) = 28\newlineNow we can update the expression:\newline112283112 - 28 - 3
  5. Subtract 2828: Subtract 2828 from 112112. \newline11228=84112 - 28 = 84\newlineNow the expression is:\newline84384 - 3
  6. Final value: Subtract 33 from 8484. \newline843=8184 - 3 = 81\newlineThis is the final value of the expression when w=4w=4.

More problems from Composition of linear and quadratic functions: find a value