Calculate two consecutive whole numbers such that your product is 132

Mr.francos records show that 25% of his students bring their own lunches to school. which decimal represents the percent of stud

masya89 [10]

Answer:

c=100%-25%=75%

=75/100=0.75

6 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

Natasha_Volkova [10]

We have ∇f(x,y,z) = ⟨4x3,4y3,4z3⟩ and ∇g(x,y,z) = ⟨2x,2y,2z⟩, so LaGrange’s method gives requires that we solve the following system of equations:

x2 + y2 + z2 <span>= 1
We split into four cases, depending on whether </span>x and y are zero or not:

4x3 = 2λx 4y3 = 2λy 4z3 = 2λz

(1) (2) (3) (4)

(a) x and y are both nonzero. Then equations (1) and (2) tell us that x2 = y2 = λ/2, and putting √√ √√√

this into equations (3) and (4) gives solutions (± 2/2, ± 2/2, 0) and (± 3/3, ± 3/3, ± 3/3). (b) x̸=0buty=0. Thenwehavex2 =λ/2,from(1)andputtingthisinto(4)givesλ/2+z2 =1,

√√ which using (3) gives solutions (±1, 0, 0) and (± 2/2, 0, ± 2/2).

(c) y ̸= 0 but x = 0. This is just like case (b) but with x and y reversed: the solutions are (0, ±1, 0) √√

and (0, ± 2/2, ± 2/<span>2).
(d) </span>x = y = 0. Then equation (4) tells us that z = ±1, so we get the two solutions (0, 0, ±1).

Now we determine which of these points are maxima and minima by simply evaluating f at all these points. We find that the maximum value of f is 1 and occurs at (±1, 0, 0), (0, ±1, 0), and (0, 0, ±1),

√√√√√√

while the minimal value is 1/3, and occurs at (± 3/3, ± 3/3, ± 3/3), (± 3/3, ± 3/3, ± 3/3), √√√

and (± 3/3, ± 3/3, ± 3/<span>3). </span>

4 0

3 years ago

Which matrix equation represents the system of linear equations?

NikAS [45]

9514 1404 393

Answer:

B

Step-by-step explanation:

When solving multiple choice problems, a reasonable strategy is to look for ways to identify one answer as good, or other answers as bad.

Here, all of the constant vectors in the equations are different, so we can decide the answer based on that.

The only equation with the correct constant vector is choice B.

_____

The constants in the equations are -4, 1, 9 — the values to the right of the equal sign.

4 0

3 years ago

Can u help me pleaseee

snow_lady [41]

Answer:

x = 4

y = 2

Step-by-step explanation:

here's your explanation in attached picture

<h3>another question :</h3>

x = 5

y = 3

solution in attached picture

3 0

3 years ago

0.75 on number line?

Anarel [89]

Where .75 will be on a number line always varies depending on how far out your number line goes. the decimal .75 is also known as 3/4, so the easiest way to find out where 3/4 is on a number line is to divide you number line into 4 even sections. this can be difficult if you have an odd number,, but it will always work as long as you divide the length of your number line by 4 to find out where to make your even sections. below is an example on how this would work:
lets say this is your number line
-------------------------
that number line contains 24 dashes,, so if you take that number (which is the length of the number line) and divide it by 4 you will find where 3/4 is.
24 ÷ 4 = 6
this means that at every 6,, you add 1/4. on the number line it would look like the following:
------I------I------I------
1/4 2/4 3/4
this technique shows you where 3/4/0.75 is on your number line.
let me know if you have any further questions
:)

6 0

3 years ago