All categories

4 years ago

Use algebraic rules of equations to predict the solution to the system of equations. Include all of your work for full credit.

Mathematics

1 answer:

bezimeni [28]4 years ago

7 0

Use substitution
x+(2x-1)=-4
3x-1=-4
3x=-3
x=-1

You might be interested in

Find the nonpermissible replacement for y in the expression n^2/2n+8

ANEK [815]

Answer:

The nonpermissible replacement of the variable n is -4

Step-by-step explanation:

The nonpermissible replacement of the variable in a certain expression is the value of the variable that will make the denominator of the expression zero.

The expression $\dfrac{n^2}{2n+8}$ has the denominator $2n+8.$

This denominator cannot be equal zero, thus,

$2n+8\neq 0,\\ \\n\neq -4$ .

6 0

3 years ago

A birthday party at Party Place A costs $8 per child plus a cleaning fee of

ruslelena [56]

The answer is b I had this question on a quiz

3 0

3 years ago

Read 2 more answers

A rectangular box is to have a square base and a volume of 72 ft3. If the material for the base costs $0.62/ft2, the material fo

Igoryamba

Answer:

a. length = 0.7211 ft

b. width = 0.7211 ft

c. height = 140.3846 ft

Step-by-step explanation:

This is an optimiztion with restriction problem.

We have to minimize the cost, with the restriction of the volume being equal to 72 ft3.

As the cost for the sides is constant, we know that length and width are equal.

Then, we can express the volume as:

$V=x\cdot y\cdot z=x^2z=73$

being x: length and z: height

We can express the height in function of the length as:

$x^2z=73\\\\z=73x^{-2}$

Then, the cost of the box can be expressed as:

$C=0.62(x^2)+4*0.15(xz)+0.18(x^2)=(0.62+0.18)x^2+0.60xz\\\\C=0.8x^2+0.60x*x^{-2}=0.8x^2+0.6x^{-1}$

To optimize C, we derive and equal to zero

$\dfrac{dC}{dx}=\dfrac{d}{dx}[0.8x^2+0.6x^{-1}]=1.6x-0.6x^{-2}=0\\\\\\1.6x=0.6x^{-2}\\\\x^{1+2}=0.6/1.6=0.375\\\\x=\sqrt[3]{0.375} =0.7211$

The height z is then

$z=73x^{-2}=\dfrac{73}{0.7211^2}=\dfrac{73}{0.52}=140.3846$

6 0

3 years ago

what income should the manager expect from ticket sales alone if the ticket price is set at 12? remeber T(x) = -25×^2 +750x and

maksim [4K]

Answer:

$5400

Step-by-step explanation:

Because, -25(12)^{2}+750(12)= $5400

Hope this helped :)

8 0

3 years ago

He has two pumpkin fields and the total area of the two pumpkin fields is 3 2/3 acres.The big field yield 3 2/5 tons of pumpkins

yulyashka [42]

Idk man it’s a hard one

8 0

3 years ago

Read 2 more answers