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3 years ago

Write a system of equations with (4,-5) as its solution

Mathematics

1 answer:

leonid [27]3 years ago

8 0

Answer:

Step-by-step explanation:

I would start by choosing my coefficients for the 2 equations. I will choose 1 and 2 for the first equation and 3 and 4 for the second equation.

1x + 2y = ?

3x + 4y = ?

Now I need to figure what in on the right-hand side, so I would substitute in 4 for x and -5 for y.

1(4) + 2(-5) = 4 - 10 = -6, so my first equation would be x + 2y = -6

3(4) + 4(-5) = 12 - 20 = -8, and my second equation is 3x + 4y = -8

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$160/5 or $315/9 which is the better deal

professor190 [17]

Answer:

$160/5

Step-by-step explanation:

160/5 would be 32 and 315/9 would be 35. 32 is less than 35 so $160/5 would be the better deal.

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3 years ago

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Find the quotient. Do not round. 55.328 ÷ 3.8 =<br> PLZ HELP NOW!!

Igoryamba

55.328 / 3.8 = 14.56

6 0

3 years ago

Brigitte is shorter than 5 feet. (Brigitte's height=h). Help please

KonstantinChe [14]

Brigitte is shorter than 5 feet. (Brigitte's height=h)

We write this in inequality form

Brigitte's height is h

So 'h' is shorter than 5 feet

Shorter means less than so we use < symbol. We should not use = symbol because height is shorter than 5 not equal to 5.

Suppose if it is given ' height is more than 5 feet ' then we use greater than symbol (>)

h is less than 5 feet

h < 5

Inequality is h < 5

3 0

2 years ago

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Use the Chain Rule to find the indicated partial derivatives. z = x^4 + xy^3, x = uv^4 + w^3, y = u + ve^w Find : ∂z/∂u , ∂z/∂v

k0ka [10]

I'll use subscript notation for brevity, i.e. $\frac{\partial f}{\partial x}=f_x$ .

By the chain rule,

$z_u=z_xx_u+z_yy_u$

$z_v=z_xx_v+z_yy_v$

$z_w=z_xx_w+z_yy_w$

We have

$z=x^4+xy^3\implies\begin{cases}z_x=4x^3+y^3\\z_y=3xy^2\end{cases}$

and

$\begin{cases}x=uv^4+w^3\\y=u+ve^w\end{cases}\implies\begin{cases}x_u=v^4\\x_v=4uv^3\\x_w=3w^2\\y_u=1\\y_v=e^w\\y_w=ve^w\end{cases}$

When $u=1,v=1,w=0$ , we have

$\begin{cases}x(1,1,0)=1\\y(1,1,0)=2\end{cases}\implies\begin{cases}z_x(1,2)=12\\z_y(1,2)=12\end{cases}$

and the partial derivatives take on values of

$\begin{cases}x_u(1,1,0)=1\\x_v(1,1,0)=4\\x_w(1,1,0)=0\\y_u(1,1,0)=1\\y_v(1,1,0)=1\\y_w(1,1,0)=1\end{cases}$

So we end up with

$\boxed{\begin{cases}z_u(1,1,0)=24\\z_v(1,1,0)=60\\z_w(1,1,0)=12\end{cases}}$

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2 years ago

Carol bought 24 stamps for $6, and Charles paid $13 for 52 stamps. If the amount paid for the stamps is proportional to the numb

Vera_Pavlovna [14]

Answer:

Yes

Step-by-step explanation:

$24 divided by 6 equals 4

$52 divided by 13 equals 4

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2 years ago

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