12c - 4 = 14c - 10<br><br> c = ?<br><br> !!!

Drag the tiles to the correct boxes to complete the pairs not all tiles will be used match the system of equations with their so

allochka39001 [22]

Answer:

Part 1) solution {(-5,8),(3,0)} ----> $y+12=x^{2}+x$ and $x+y=3$

Part 2) No solutions ----> $y-15=x^{2}+4x$ and $x-y=1$

Part 3) solution [(-2,5),(3,-5)] ---> $y+5=x^{2}-3x$ and $2x+y=1$

Part 4) No solutions ---> $y-6=x^{2}-3x$ and $x+2y=2$

Part 5) solution [(2,3),(8,9)] ---> $y-17=x^{2}-9x$ and $-x+y=1$

Part 6) solution [(-2,3),(7,-6)] ---> $y-15=-x^{2}+4x$ and $x+y=1$

Step-by-step explanation:

Part 1) we have

$y+12=x^{2}+x$ ----> equation A

$x+y=3$ ----> equation B

Solve by graphing

Remember that the solution of the system of equations is the intersection point both graphs

The solution are the points (-5,8) and (3,0)

see the attached figure N 1

Part 2) we have

$y-15=x^{2}+4x$ ----> equation A

$x-y=1$ ----> equation B

Solve by graphing

Remember that the solution of the system of equations is the intersection point both graphs

The system has no solutions, because there is no point of intersection between the two graphs

see the attached figure N 2

Part 3) we have

$y+5=x^{2}-3x$ ----> equation A

$2x+y=1$ ----> equation B

Solve by graphing

Remember that the solution of the system of equations is the intersection point both graphs

The solution are the points (-2,5) and (3,-5)

see the attached figure N 3

Part 4) we have

$y-6=x^{2}-3x$ ----> equation A

$x+2y=2$ ----> equation B

Solve by graphing

Remember that the solution of the system of equations is the intersection point both graphs

The system has no solutions, because there is no point of intersection between the two graphs

see the attached figure N 4

Part 5) we have

$y-17=x^{2}-9x$ ----> equation A

$-x+y=1$ ----> equation B

Solve by graphing

Remember that the solution of the system of equations is the intersection point both graphs

The solution are the points (2,3) and (8,9)

see the attached figure N 5

Part 6) we have

$y-15=-x^{2}+4x$ ----> equation A

$x+y=1$ ----> equation B

Solve by graphing

Remember that the solution of the system of equations is the intersection point both graphs

The solution are the points (-2,3) and (7,-6)

see the attached figure N 6

5 0

3 years ago

Metal Fabrication If an open box is made from a tin sheet 10 in. square by cutting out identical squares from each corner and be

MrRa [10]

Answer:

ength (l) : (10-2*5/3) = 20/3
width(w): (10 - 2*5/3) = 20/3
height(h): 5/3

Step-by-step explanation:

Let x is the side of identical squares

By cutting out identical squares from each corner and bending up the resulting flaps, the dimension are:

length (l) : (10-2x)
width(w): (10-2x)
height(h): x

The volume will be:

V = (10-2x) (10-2x) x

<=> V = (10x-2 $x^{2}$ ) (10-2x)

<=> V = 100x -20 $x^{2}$ - 20 $x^{2}$ + 4 $x^{3}$

<=> V = 4 $x^{3}$ - 40 $x^{2}$ + 100x

To determine the dimensions of the largest box that can be made, we need to use the derivative and and set it to zero for the maximum volume

dV/dx = 12 $x^{2}$ -80x + 100

<=> 12 $x^{2}$ -80x + 100 =0

<=> x = 5 or x= 5/3

You know 'x' cannot be 5 , because if we cut 5 inch squares out of the original square, the length and the width will be 0. So we take x = 5/3

=>

length (l) : (10-2*5/3) = 20/3
width(w): (10 - 2*5/3) = 20/3
height(h): 5/3

6 0

3 years ago

Convert 300 centimeters to yards.

sukhopar [10]

Answer: 3.2808

There are 91.44 centimetres in one yard

Divide 300 by 91.44

8 0

3 years ago

You plan on purchasing a blouse for $32.98, a pair of jeans for $45.99,

Alik [6]

Answer:

$166.66

Step-by-step explanation:

45.99 + 32.98 + 74.99 =153.96

153.96(1.0825)= 166.66

8 0

2 years ago

The width of a field is 3 miles less than the length. The square mileage of the plot is 18 miles squared. Find the dimensions.

kherson [118]

LW = A
L(L - 3) = 18
L^2 - 3L - 18 = 0
(L - 6) (L + 3) = 0
L could be 6 or -3 ( -3 cannot be a length of a side of a rectangle since it’s negative.)
So L = 6 and W= 3

6 0

2 years ago

12c - 4 = 14c - 10 c = ? !!!