All categories

4 years ago

Translate the sentence and solve: "4 is 2 less than double a number".

Mathematics

1 answer:

Elanso [62]4 years ago

4 0

Answer: x = 3

Step-by-step explanation:

you would double each number meamong multiply by 2 until you get the opposite of 4 being 2 less of a number so 6.

3 x 2 = 6

and 2 less than 6 is 4 so theres your answer :)

You might be interested in

A package weigh 4.25 kilograms .how many grams does the package weigh

Dennis_Churaev [7]

The Answer Is
425.000

4 0

4 years ago

Read 2 more answers

Are of circle find.

Andreas93 [3]

Answer:

379.94

Step-by-step explanation:

11 squared is 122

Times 3.14 is 379.94

5 0

3 years ago

This extreme value problem has a solution with both a maximum value and a minimum value. Use Lagrange multipliers to find the ex

pashok25 [27]

Answer with Step-by-step explanation:

We are given that

$f(x,y,z)=10x+10y+3z$

$g(x,y,z)=5x^2+5y^2+3z^2=43$

We have to find the extreme values of the function.

$f_x(x,y,z)=10,f_y(x,y,z)=10,f_z(x,y,z)=3$

$g_x(x,y,z)=10x,g_y(x,y,z)=10y,g_z(x,y,z)=6z$

$\Delta f(x,y,z)=\lambda \Delta g(x,y,z)$

Therefore,

$10=\lambda 10x\implies x=\frac{1}{\lambda}$

$10=10y\lambda\implies y=\frac{1}{\lambda}$

$3=6z\lambda$

$z=\frac{1}{2\lambda}$

Substitute the values in g(x)

Then, we get

$\frac{5}{\lambda^2}+\frac{5}{\lambda^2}+\frac{3}{4\lambda^2}=43$

$\frac{20+20+3}{4\lambda^2}=43$

$\frac{43}{4\lambda^2}=43$

$\lambda^2=\frac{43}{4\times 43}$

$\lambda=\pm\frac{1}{2}$

When $\lambda=\frac{1}{2}$ then,

$x=2,y=2,z=1$

When $\lambda=-\frac{1}{2}$

Then, $x=-2,y=-2,z=-1$

$f(2,2,1)=10+10+3=23$

$f(-2,-2,-1)=-10-10-3=-23$

Hence, maximum value of f(x,y,z) is 23 at (2,2,1) and minimum value of f(x,y,z) is -23 at (-2,-2 ,-1).

8 0

4 years ago

Please help asap :(((

Alecsey [184]

You are right the answer is B

5 0

3 years ago

Read 2 more answers

A student's cost for last semester at her community college was $2000. She spent $280 of that on books. What percent of last

Usimov [2.4K]

Answer:

14%

Step-by-step explanation:

A way I usually do it is with a fraction setup.

280/2000 = ?/100

multiply 280 by 100, and you get 28000. divide this by 2000, and you get 14!

8 0

3 years ago