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liberstina [14]
3 years ago
10

Solve the following systems by the addition method 4x - y =3 2x+3y = 18

Mathematics
1 answer:
Taya2010 [7]3 years ago
4 0
Hello :
<span>4x - y =3........ ×3
2x+3y = 18
 I'have :  12x-3y = 9
               2x +3y = 18
</span><span>by the addition method : 14 x =27
</span> x = 27/14
4(27/14)-y = 3
y = 33/7


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3 years ago
Complete parts a through c for the given function.
victus00 [196]

Answer:

a. The critcal points are at

x=0,-5,3

b. Then, x = -5   is a maximum and x=3 is a minimum

c. The absolute minimum is at   x = 3  and the absolute maximum is at  x = -5.

Step-by-step explanation:

(a)

Remember that you need to find the points where

f'(x)=0

Therefore you have to solve this equation.

20x^4  + 40x^3 - 300x^2 = 0

From that equation you can factor out    20x^2  and you would get

20x^2 (  x^2  +2x - 15)  = 0

And from that you would have   20x^2 = 0  , so x = 0.

And you would also have  x^2 +2x-15 = 0.

You can factor that equation as    x^2 +2x -15 = (x+5)(x-3) = 0

Therefore   x=-5 ,   x=3.

So the critcal points are at

x=0,-5,3

b.  

Remember that a function has a maximum at a critical point if the second derivative at that point is negative. Since

f''(x) = 80x^3 + 120x^2 -600x\\f''(-5) = 80(-5)^3 + 120(-5)^2 -600(-5) = -4000 < 0\\\\f''(3) = 80(3)^3 + 120(3)^2 -600(3) = 1440 > 0 \\

Then, x = -5   is a maximum and x=3 is a minimum

c.

The absolute minimum is at   x = 3  and the absolute maximum is at  x = -5.

6 0
3 years ago
Read 2 more answers
HELP THIS IS DUE SOON!!!
aev [14]

Answer:

x≥9

Step-by-step explanation:

Pretend the Less than or equal to sign is just an equals sign

-7x+7=-56 Solve:

-7x=-56-7

-7x=-63

For the last step, if you divide a negative number, the Sign switches. So not the sign is greater than or equal to.

x>=9

6 0
2 years ago
X According to a survey, 60 sixth grade students at Madison Middle School attended a summer camp. This is 30% of the entire sixt
Liula [17]

Answer: total is 200

Step-by-step explanation:

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3 years ago
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