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Naya [18.7K]
2 years ago
15

Rewrite in simplest terms: -7(2u-6v)-7v-3(10v+u)

Mathematics
1 answer:
vladimir2022 [97]2 years ago
6 0

Answer:

11v+35v-30

Step-by-step explanation:

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PLEASE HELP ASAP
Svetradugi [14.3K]

Answer:

(y+2)=2(x−3)

Or

(y−4)=2(x-6)

Or

y=2x−8

Step-by-step explanation:

4 0
1 year ago
Read 2 more answers
Find the max and min values of f(x,y,z)=x+y-z on the sphere x^2+y^2+z^2=81
Anton [14]
Using Lagrange multipliers, we have the Lagrangian

L(x,y,z,\lambda)=x+y-z+\lambda(x^2+y^2+z^2-81)

with partial derivatives (set equal to 0)

L_x=1+2\lambda x=0\implies x=-\dfrac1{2\lambda}
L_y=1+2\lambda y=0\implies y=-\dfrac1{2\lambda}
L_z=-1+2\lambda z=0\implies z=\dfrac1{2\lambda}
L_\lambda=x^2+y^2+z^2-81=0\implies x^2+y^2+z^2=81

Substituting the first three equations into the fourth allows us to solve for \lambda:

x^2+y^2+z^2=\dfrac1{4\lambda^2}+\dfrac1{4\lambda^2}+\dfrac1{4\lambda^2}=81\implies\lambda=\pm\dfrac1{6\sqrt3}

For each possible value of \lambda, we get two corresponding critical points at (\mp3\sqrt3,\mp3\sqrt3,\pm3\sqrt3).

At these points, respectively, we get a maximum value of f(3\sqrt3,3\sqrt3,-3\sqrt3)=9\sqrt3 and a minimum value of f(-3\sqrt3,-3\sqrt3,3\sqrt3)=-9\sqrt3.
5 0
3 years ago
Natalie Jenny, Steve and Jatin paid $12 for their taxi. They shared this equally between them. What fraction did each pay?
algol [13]

Answer:

1/4

Step-by-step explanation:

12/4= 3

Each paid $3 but as a fraction 3/12=1/4

8 0
2 years ago
Read 2 more answers
Please help
pychu [463]

Answer:

<h2>        y = x² - 1</h2>

Step-by-step explanation:

y = -1 for x = 0 {point(0, -1)} means -1 at the end of formula

If we add 1 to y-coordinate of  every given point we get the squares of x-coordinate:

(1, 0):   1² - 1 = 0

(2, 3):   2² - 1 = 4 - 1 = 3

(3, 8):   3² - 1 = 9 - 1 = 8

(4, 15):   4² - 1 = 16 - 1 = 15

So for any x:

(x, y)   y = x² - 1

6 0
3 years ago
Find the nonpermissible replacement for a in this expression 7/6a
vredina [299]
The correct answer for the exercise shown above is:

 zero (0)

 The explanation is shown below:

 1. You have the following expression given in the problem above:

 7/6a

 2. By definition, <span>the nonpermissible replacement for a is the value that make the denominator equal to zero.

 3. Keeping this on mind, you have:

 7/6a=7/6(0)=7/0

 Therefore, as you can see, the answer is: zero (a=0).


</span>
6 0
3 years ago
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