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3 years ago

When is the product of two nonzero integers less than or equal to both of the two factors

1 answer:

5 0

The product of two nonzero integers is less than or equal to the both of the factors when one of them is positive and the other is negative.

For example:-

$x = 9 \\ 
y = -5 \\ \\ 
Then, \\
xy = 9*(-5) = -45 \\ \\ 
Here, \\ 
xy \leq x \\ 
xy \leq y
$

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The weekly salaries of six employees at a fast food franchise are $250, $120, $95, $160, $185, $225. For these six salaries, fin

Mashcka [7]

250+120+95+185+160+225= the mean

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3 years ago

Shayna's school is selling tickets to a play. On the first day of ticket sales the school sold 13 senior citizen tickets and 13

jasenka [17]

The price of one senior citizen ticket is 8$ and one student ticket is 12$.

<h3>What is the equation?</h3>

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

Let the price of one senior citizen ticket = x

And the price of one student ticket = y

Given that, on the first day of ticket sales, the school sold 13 senior citizen tickets and 13 student tickets for a total of $260

The school took in $212 on the second day by selling 13 senior citizen tickets and 9 student tickets.

13x +13y = 260

13x + 9y = 212

Subtract the equation from first

13x +13y - (13x + 9y) = 260 - 212

4y = 48

y = 48/4

y = 12

Substitute the value of y in the equation 13x + 9y = 212

13x + 9(12) = 212

13x + 108 = 212

13x = 212 - 108

13x = 104

x = 104/13

x = 8

Hence, the price of one senior citizen ticket is 8$ and one student ticket is 12$.

Learn more about the equation here:

brainly.com/question/10413253

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6 0

2 years ago

Rosc has $500 in her savings account. She carnis simple interest at 5%

Firlakuza [10]

Answer:

Step-by-step explanation:

I assume you are asking how much she EARNS after 2 years.

500x.-5=25 interest per year

25 x 2 years = 50 interest for 2 years.

5 0

3 years ago

EXAMPLE 5 Find the maximum value of the function f(x, y, z) = x + 2y + 9z on the curve of intersection of the plane x − y + z =

geniusboy [140]

The Lagrangian,

$L(x,y,z,\lambda,\mu)=x+2y+9z-\lambda(x-y+z-1)-\mu(x^2+y^2-1)$

has critical points where its partial derivatives vanish:

$L_x=1-\lambda-2\mu x=0$

$L_y=2+\lambda-2\mu y=0$

$L_z=9-\lambda=0$

$L_\lambda=x-y+z-1=0$

$L_\mu=x^2+y^2-1=0$

$L_z=0$ tells us $\lambda=9$ , so that

$L_x=0\implies-8-2\mu x=0\implies x=-\dfrac4\mu$

$L_y=0\implies11-2\mu y=0\implies y=\dfrac{11}{2\mu}$

Then with $L_\mu=0$ , we get

$x^2+y^2=\dfrac{16}{\mu^2}+\dfrac{121}{4\mu^2}=1\implies\mu=\pm\dfrac{\sqrt{185}}2$

and $L_\lambda=0$ tells us

$x-y+z=-\dfrac4\mu-\dfrac{11}{2\mu}+z=1\implies z=1+\dfrac{19}{2\mu}$

Then there are two critical points, $\left(\pm\frac8{\sqrt{185}},\mp\frac{11}{\sqrt{185}},1\pm\frac{19}{\sqrt{185}}\right)$ . The critical point with the negative $x$ -coordinates gives the maximum value, $9+\sqrt{185}$ .

8 0

4 years ago

What happens to the volume of a rectangular prism when it’s length is tripled?

Lena [83]

Answer:

it gets longer........

5 0

3 years ago