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Mathematics 7 Online
OpenStudy (bryanbarrett02):

i give madels out to every one who helps What is the value of the expression when a = 4 and b = 2? https://static.k12.com/bank_packages/files/media/mathml_9d985d36d269bdc61c58f0bb096c9d5889a2cdff_1.gif A. 48 B. 80 C. 120 D. 136

jimthompson5910 (jim_thompson5910):

a = 4 b = 2 Replace each copy of 'a' with 4 and each copy of 'b' with 2 \[\Large 2a^3 + 2b^2 = 2({\color{red}{a}})^3+2({\color{blue}{b}})^2=2({\color{red}{4}})^3+2({\color{blue}{2}})^2\] Are you able to finish up?

OpenStudy (bryanbarrett02):

no i had that work they im stuck

jimthompson5910 (jim_thompson5910):

think of (4)^3 as (4)*(4)*(4) the exponent three means we have three copies of 4 multiplied

jimthompson5910 (jim_thompson5910):

what is (4)^3 equal to?

OpenStudy (bryanbarrett02):

64

jimthompson5910 (jim_thompson5910):

yep, now double that to get what?

OpenStudy (bryanbarrett02):

128

jimthompson5910 (jim_thompson5910):

yes

jimthompson5910 (jim_thompson5910):

now what is (2)^2 equal to?

OpenStudy (bryanbarrett02):

that not a b c or d

jimthompson5910 (jim_thompson5910):

what is (2)^2 equal to?

OpenStudy (bryanbarrett02):

4

jimthompson5910 (jim_thompson5910):

then 2 times 4 is equal to what?

OpenStudy (bryanbarrett02):

8

jimthompson5910 (jim_thompson5910):

So \[\Large {\color{red}{2(4)^3}} + {\color{blue}{2(2)^2}} = {\color{red}{128}} + {\color{blue}{8}} = 136\]

OpenStudy (bryanbarrett02):

thank u so much

jimthompson5910 (jim_thompson5910):

no problem

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