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IgorLugansk [536]

3 years ago

11

Solve 8x − 2(x + 1) = 7x + 8. (5 points) Question 3 options: 1) 6 2) −6 3) 10 4) −10

1 answer:

rusak2 [61]3 years ago

5 0

Answer:

3.) 10

Step-by-step explanation:

8x-2(x+1) = 7x+8

8x-2x-1=7x+8

6x-1=7x+8

-1=1x+8

+1 +1

1x+9

/x

x=1+9

x=10

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Find the greatest solution for x+y when x^2+y^2 = 7, x^3+y^3=10

damaskus [11]

Answer:

4

Step-by-step explanation:

set

$f(x,y)=x+y\\$

constrain:

$g(x,y)=x^2+y^2 = 7\\h(x,y)=x^3+y^3=10$

Partial derivatives:

$f_{x}=1\\f_{y} =1 \\g_{x}=2x \\g_{y}=2y\\h_{x}=3x^2 \\h_{y}=3y^2$

Lagrange multiplier:

$grad(f)=a*grad(g)+b*grad(h)\\$

$\left[\begin{array}{ccc}1\\1\end{array}\right]=a\left[\begin{array}{ccc}2x\\2y\end{array}\right]+b\left[\begin{array}{ccc}3x^2\\3y^2\end{array}\right]$

4 equations:

$1=2ax+3bx^2\\1=2ay+3by^2\\x^2+y^2=7\\x^3+y^3=10$

By solving:

$a=4/9\\b=-2/27\\x+y=4$

Second mathod:

Solve for x^2+y^2 = 7, x^3+y^3=10 first:

$x=\frac{1}{2} -\frac{\sqrt{13}}{2} \ or \ y=\frac{1}{2} +\frac{\sqrt{13}}{2} \\x=\frac{1}{2} +\frac{\sqrt{13}}{2} \ or \ y=\frac{1}{2} -\frac{\sqrt{13}}{2} \\x+y=-5\ or\ 1 \or\ 4$

The maximum is 4

6 0

3 years ago

Supply and demand coordinate to determine prices by working

Verdich [7]

The Answer is Together

4 0

3 years ago

Twice the difference of a number and eight is equal to three times the sum of the number and four

vovikov84 [41]

Answer:

2(8-x)=3(4+x)

Step-by-step explanation:

16-2x=12+3x

16=12+5x

4=5x

4/5 (or 0.8)=x

5 0

3 years ago

Jean loves to go bird watching. One day, she saw 7 birds.The next day, she

Ludmilka [50]

Answer:

Jaw saw an average of 6 birds each day

Step-by-step explanation:

Given: One day, Jean saw 7 birds. The next day, she saw 11 birds. The next day, she saw no birds.

To find: average number of birds Jean saw each day

Solution:

Average is a central value of a set of terms.

Average of terms $x_1,x_2,x_3,...,x_n$ is given by $\frac{x_1+x_2+x_3+...+x_n}{n}$

Number of birds, Jean saw on day one $(x_1)$ = 7

Number of birds, Jean saw on the second one $(x_2)$ = 7

Number of birds, Jean saw on the third one $(x_3)$ = 7

So,

average number of birds Jean saw each day = $\frac{x_1+x_2+x_3}{3} =\frac{7+11+0}{3}=\frac{18}{3}=6$

Therefore,

Jaw saw an average of 6 birds each day

6 0

3 years ago

Kaylee put $240.00 in a bank account that gains 25%

creativ13 [48]

Answer:

S=720

Step-by-step explanation:

25$ of 240 =60

60×12months=720

5 0

3 years ago