Answer:
6) C
7) A
8) D
9) B
Step-by-step explanation:
when the sign is < or > then the point is clear point(white)
when the sign is ≤ or ≥ then the point is solid ( black)
6) 4y+3≤y+6
4y-y≤6-3
3y≤3
y≤3/3
y≤1 (C)
<u> </u>
7) -2y>2 ( wen sign is negative you flip the sign from> to <)
y<-2/2
y<-1 (A)
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8) y/3<-1 ⇒ y<-3 the sign is < means it is clear and on -3 (D)
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9) 3y≤2y+3
3y-2y≤3
y≤3 ( B)
Answer:
<h3><u>1st attachment :-</u></h3>
counters left = 160
fraction of counters left = 160/400
=2/5
<h3> <u>2nd</u><u> </u><u>attachment</u><u> </u><u>:</u><u>-</u></h3>
a) how much cheaper = 13 ×(35.43 -15.37)
= 260.78
b) B.underestimate
The ODE appears to be
![\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{4x}y](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cmathrm%20dy%7D%7B%5Cmathrm%20dx%7D%3D%5Cdfrac%7B4x%7Dy)
It's separable; we can write
![y\,\mathrm dy=4x\,\mathrm dx](https://tex.z-dn.net/?f=y%5C%2C%5Cmathrm%20dy%3D4x%5C%2C%5Cmathrm%20dx)
and integrating both sides yields
![\dfrac{y^2}2=2x^2+C](https://tex.z-dn.net/?f=%5Cdfrac%7By%5E2%7D2%3D2x%5E2%2BC)
![\implies y^2=4x^2+C](https://tex.z-dn.net/?f=%5Cimplies%20y%5E2%3D4x%5E2%2BC)
Answer:
$77.04
Step-by-step explanation:
All you want to do here is add 7% of 72 which you can easily do with the equation 72(1.07) = x. X represents the total cost, in the equation you're adding 7%.
Answer:
121 yard
Step-by-step explanation:
By differentiating
![y=2.2x-0.01x^{2} \\\\](https://tex.z-dn.net/?f=y%3D2.2x-0.01x%5E%7B2%7D%20%5C%5C%5C%5C)
![\frac{dy}{dx} =2.2-0.02x=0\\x=110\\so\\y=2.2*110-0.01*110^{2} =121yard](https://tex.z-dn.net/?f=%5Cfrac%7Bdy%7D%7Bdx%7D%20%3D2.2-0.02x%3D0%5C%5Cx%3D110%5C%5Cso%5C%5Cy%3D2.2%2A110-0.01%2A110%5E%7B2%7D%20%3D121yard)