Answer:
Step-by-step explanation:
Answer:
12 weeks
Step-by-step explanation:
It will take Jackie 12 weeks to buy her car because she earns 172 per week.
If you divide 2000 buy 172 you end up with 11.6
if you multiply 11 and 172 you get 1,892 which is just a little under 2000
if you add another week = 172$ you will arrive at 2064 which is enough to buy
her car.
Hope this helps.
The minimum distance is the perpendicular distance. So establish the distance from the origin to the line using the distance formula.
The distance here is: <span><span>d2</span>=(x−0<span>)^2</span>+(y−0<span>)^2
</span> =<span>x^2</span>+<span>y^2
</span></span>
To minimize this function d^2 subject to the constraint, <span>2x+y−10=0
</span>If we substitute, the y-values the distance function can take will be related to the x-values by the line:<span>y=10−2x
</span>You can substitute this in for y in the distance function and take the derivative:
<span>d=sqrt [<span><span><span>x2</span>+(10−2x<span>)^2]
</span></span></span></span>
d′=1/2 (5x2−40x+100)^(−1/2) (10x−40)<span>
</span>Setting the derivative to zero to find optimal x,
<span><span>d′</span>=0→10x−40=0→x=4
</span>
This will be the x-value on the line such that the distance between the origin and line will be EITHER a maximum or minimum (technically, it should be checked afterward).
For x = 4, the corresponding y-value is found from the equation of the line (since we need the corresponding y-value on the line for this x-value).
Then y = 10 - 2(4) = 2.
So the point, P, is (4,2).
Answer:
7.9
Step-by-step explanation:
She has a total of 51.2 and uses 12.9+30.4.
The equation would be 51.2-(12.9+30.4).
51.2-(12.9+30.4)
=51.2-43.3
=7.9
Have a nice day!!!!!!! :-)
<u>KA</u>
