Let y=⎡⎣⎢3−21⎤⎦⎥ and u=⎡⎣⎢−21−1⎤⎦⎥. (a) find the orthogonal projection of y onto u. projuy= ⎡⎣ 3 equation editor -3/2 equation editor 3/2 equation editor ⎤⎦ (b) compute the distance d from y to the line through u and the origin.

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step-by-step explanation:

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

answer:

f(5/2) = 10/3

i hope this you!

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950