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3 years ago

14

Is 122/48 in its simplest form or is it’s simplest form 61/24?

2 answers:

horsena [70]3 years ago

8 0

Answer:

61/24 is its simplest form! :)

Step-by-step explanation:

sergiy2304 [10]3 years ago

3 0

The simplest form is 61/24 as your able to divide both the numerator and denominator of 122/48 by 2 to simplify it

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A gym membership charges an initial

anastassius [24]

Answer:

the gym that has 150, will take 2 months and the gym that has 50 will take 6 months

first gym:

150

300

second gym:

50

100

150

200

250

300

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3 years ago

(a)5%)Let fx, y) = x^4 + y^4 - 4xy + 1. and classify each critical point Find all critical points of fx,y) as a local minimum, l

lara31 [8.8K]

$f(x,y)=x^4+y^4-4xy+1$

has critical points wherever the partial derivatives vanish:

$f_x=4x^3-4y=0\implies x^3=y$

$f_y=4y^3-4x=0\implies y^3=x$

Then

$x^3=y\implies x^9=x\implies x(x^8-1)=0\implies x=0\text{ or }x=\pm1$

If $x=0$ , then $y=0$ ; critical point at (0, 0)
If $x=1$ , then $y=1$ ; critical point at (1, 1)
If $x=-1$ , then $y=-1$ ; critical point at (-1, -1)

$f(x,y)$ has Hessian matrix

$H(x,y)=\begin{bmatrix}12x^2&-4\\-4&12y^2\end{bmatrix}$

with determinant

$\det H(x,y)=144x^2y^2-16$

At (0, 0), the Hessian determinant is -16, which indicates a saddle point.
At (1, 1), the determinant is 128, and $f_{xx}(1,1)=12$ , which indicates a local minimum.
At (-1, -1), the determinant is again 128, and $f_{xx}(-1,-1)=12$ , which indicates another local minimum.

4 0

3 years ago

Kira, goran, & joe sent a total of 90 text messages during the weekend. Goran sent 5 fewer messages than Kira. Joe sent 3 ti

MissTica

Answer:

Kira sent 19 text messages, Goran sent 14 text messages and Joe sent 57 text messages.

Step-by-step explanation:

Let be "k" the number of text messages that Kira sent during the weekend, "g" the number of text messages that Gora sent during the weekend and "j" the number of text messages that Joe sent during the weekend.

We know know that they sent a total of 90 text messages then:

$k+g+j=90$

Goran sent 5 fewer messages than Kira. This is:

$g=k-5$

And Joe sent 3 times as many messages as Kira. Then:

$j=3k$

The steps to solve this are:

- Substitute the second equation and the third equatio into the first equation and then solve for "k":

$k+(k-5)+(3k)=90\\\\5k-5=90\\\\5k=90+5\\\\k=\frac{95}{5}\\\\k=19$

- Substitute this value into the second equation to find "g":

$g=19-5=14$

- Substitute the value of "k" into the third equation to find "j":

$j=3(19)=57$

4 0

3 years ago

What is cos 16........

inn [45]

The cos of 16 degrees is 0.96

5 0

4 years ago

Read 2 more answers

Please help!!!! i will give brainliest

FromTheMoon [43]

Answer:

The volume of a cylinder:

$V \approx 150.796$ $ft^3$

Step-by-step explanation:

To find the volume of a cylinder, you need the this formula:

$V = \pi r^2h$

-Use the given height and radius for the formula:

$V = \pi 4^2 3$

-Then, solve the formula:

$V = \pi \times 4^2 \times 3$

$V = \pi \times 16 \times 3$

$V = \pi \times 48$

$V = 48\pi \approx 150.796$

So, the volume of a cylinder is approximately $150.796$ $ft^3$ .

7 0

3 years ago