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3 years ago

Helppp new asap maths

Mathematics

1 answer:

allochka39001 [22]3 years ago

5 0

The answers are boxed the rest of it is just the work in case you want to know how to do it.

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10x + 15 <br> So what is the equation of x !??!?

hjlf

5(2x+3) by adding them you get this equation.

4 0

3 years ago

Find the minimum and maximum of f(x,y,z)=x^2+y^2+z^2 subject to two constraints, x+2y+z=4 and x-y=8.

Alika [10]

The Lagrangian for this function and the given constraints is

$L(x,y,z,\lambda_1,\lambda_2)=x^2+y^2+z^2+\lambda_1(x+2y+z-4)+\lambda_2(x-y-8)$

which has partial derivatives (set equal to 0) satisfying

$\begin{cases}L_x=2x+\lambda_1+\lambda_2=0\\L_y=2y+2\lambda_1-\lambda_2=0\\L_z=2z+\lambda_1=0\\L_{\lambda_1}=x+2y+z-4=0\\L_{\lambda_2}=x-y-8=0\end{cases}$

This is a fairly standard linear system. Solving yields Lagrange multipliers of $\lambda_1=-\dfrac{32}{11}$ and $\lambda_2=-\dfrac{104}{11}$ , and at the same time we find only one critical point at $(x,y,z)=\left(\dfrac{68}{11},-\dfrac{20}{11},\dfrac{16}{11}\right)$ .

Check the Hessian for $f(x,y,z)$ , given by

$\mathbf H(x,y,z)=\begin{bmatrix}f_{xx}&f_{xy}&f_{xz}\\f_{yx}&f_{yy}&f_{yz}\\f_{zx}&f_{zy}&f_{zz}\end{bmatrix}=\begin{bmatrix}=\begin{bmatrix}2&0&0\\0&2&0\\0&0&2\end{bmatrix}$

$\mathbf H$ is positive definite, since $\mathbf v^\top\mathbf{Hv}>0$ for any vector $\mathbf v=\begin{bmatrix}x&y&z\end{bmatrix}^\top$ , which means $f(x,y,z)=x^2+y^2+z^2$ attains a minimum value of $\dfrac{480}{11}$ at $\left(\dfrac{68}{11},-\dfrac{20}{11},\dfrac{16}{11}\right)$ . There is no maximum over the given constraints.

7 0

3 years ago

there are 18 male students and 13 female students in form 1 orchid. each male student pays RM 8 for each sports shirt and each f

pychu [463]

Step-by-step explanation:

18×RM 8= RM 144

13× RM 11=RM 143

RM 144+143= RM 287

are u Malaysian too? coz I'm one hehe

8 0

2 years ago

Read 2 more answers

Determine if the following statement is true or false.

Alla [95]

Answer:

A. True

Step-by-step explanation:

The general formula for predicting an outcome in a binomial probability distribution function is: nCx(p)^x(q)^(n-x)

where p is the probability of success and q is the probability of failure

From the above formula; nCx represent the number of ways of obtaining x successes in n trials.

nCx is a combination computation and combination helps to determine in how many ways a certain outcome is possible.

3 0

3 years ago

How would I solve this?

zvonat [6]

Use Pythagorean Theorem which states that in a right triangle:

$a^2+b^2=c^2$ , where a and b are the legs, and c is the hypotenuse.

$24^2+10^2=x^2$

Take the square root of both sides to solve for x.

$x = \sqrt{676} = 26$

The answer is 26.

4 0

3 years ago