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Inga [223]
3 years ago
12

Complete the steps to solve the inequality: 0.2(x + 20) – 3 > –7 – 6.2x

Mathematics
1 answer:
Zigmanuir [339]3 years ago
3 0

answer: x > - 1.25

Step-by-step explanation:

0.2 •(x + 20)- 3> -7- 6.2x

0.2x + 1> - 7 - 6.2x

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barxatty [35]

z=f(x(u,v),y(u,v)),\begin{cases}x(u,v)=2u+v^2\\y(u,v)=3u-v\end{cases}

We're given that f_x(6,1)=3 and f_y(6,1)=-1, and want to find \frac{\partial z}{\partial v}(1,2).

By the chain rule, we have

\dfrac{\partial z}{\partial v}=\dfrac{\partial z}{\partial x}\dfrac{\partial x}{\partial v}+\dfrac{\partial z}{\partial y}\dfrac{\partial y}{\partial v}

and

\dfrac{\partial x}{\partial v}=2v

\dfrac{\partial y}{\partial v}=-1

Then

\dfrac{\partial z}{\partial v}(1,2)=\dfrac{\partial z}{\partial x}(6,1)\dfrac{\partial x}{\partial v}(1,2)+\dfrac{\partial z}{\partial y}(6,1)\dfrac{\partial y}{\partial v}(1,2)

(because the point (x,y)=(6,1) corresponds to (u,v)=(1,2))

\implies\dfrac{\partial z}{\partial v}(1,2)=3\cdot2\cdot2+(-1)\cdot(-1)=\boxed{13}

4 0
3 years ago
Michael baked 60 oatmeal cookies and 45 chocolate chip cookies to package in plastic containers for her friends at school. She w
Scrat [10]

Answer:

3

Step-by-step explanation:

Michael must find the smallest number possible that can divide 60 and 45 then take the two quotients after dividing the 2 types of cookies by the smallest number possible.

2 is not possible as 45 is an odd number

3 can divide both 60 and 45

60/3 = 20 oatmeal cookies in each container.

45/3 = 15 chocolate chip cookies in each container.

7 0
3 years ago
Owen received $100 for his birthday. He wants to spend 2/10 of his money on a video game. He wants to spend 55/100 of his money
Dafna11 [192]

Answer:

No, Owen wants to spend 105/100 of his money.

Step-by-step explanation:

HE wants to spend 2/10, 3/10, and 55/100 or 5.5/10, but if we add up all of the numbers we would get 10.5/10 meaning he would he 5  dollars short.

7 0
3 years ago
Cuanto es 10+10= por favor responda plis​
Sergeu [11.5K]

Answer:

20 = viente

Step-by-step explanation: plz mark brainliest

3 0
3 years ago
Ron and amie opened an educational savings account for their daughter when she was born making a $5,000 initial investment. They
Arlecino [84]

Interest rate= 0.083%

Step-by-step explanation:

Principal= $5000 Amount= $10000 Time period= 12 years

A=Amount, P= Principal, I= Simple Interest r= Rate of interest t= Time period

A= P+ I\\10000= 5000+ I\\I=10000-5000=5000\\I=Prt\\5000=5000*r*12\\r=5000/5000*12\\r=5000/60000\\r=0.083

6 0
3 years ago
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