Show the steps to get full credit<br> 3 (2x + 2) = 18 + 4(x

Solve the equation using either addition or substitution. Show all your work

UkoKoshka [18]

Answer:

(x1, y1) = (1, 3)

(x2, y2) = (4, 12)

Step-by-step explanation:

y= x^2 - 4

y= 5x - 8

(substitute the value for y)

x^2 - 4 = 5x - 8

(solve the equation)

x = 1

x = 4

(substitute the values)

y = 5 × 1 - 8

y = 5 × 4 - 8

(solve the equations)

y = -3

y = 12

( the possible solutions are)

x1, y1 = 1, -3

x2, y2 = 4, 12

(check the solutions)

-3 = 1^2 - 4

-3 = 5 × 1 - 8

12 = 4^2 - 4

12 = 5 × 4 - 8

(simplify)

-3 = -3

12 = 12

(the ordered pairs are the solutions)

6 0

2 years ago

An electronics store receives a shipment of 35 graphing calculators including 7 that are defective. eight calculators are chosen

spin [16.1K]

There are 23535820 combinations that can be made of 35 calculators taken 8 at a time.

$_{35}C_8=\frac{35!}{8!27!}=23535820$

8 0

2 years ago

Which one of the following is a true

Marina86 [1]

Answer:

X5, m d5£t4#it8#k,osp5*9y6£, you_, I_, I &, I 5"I 5"6'7'6”7'6'6"6"I 5*95*95*59*I 5,5*5*I 5*I 5•5the area of a trapezium is 240 con 2 97 the parallel side is gucm and 26 cm long Feng

the distance between them.the area of a trapezium is 240 con 2 97 the parallel side is gucm and 26 cm long Feng

the distance between them.

4 0

2 years ago

The formula for the volume of a cone is V = jarh, where V is the volume, r is the radius, and h Is the heightWhat is the volume

olga nikolaevna [1]

Given:

The radius, r=4x

The height,

$h=21xy^2$

To find the volume of the cone:

The volume of the cone formula is,

$V=\frac{1}{3}\pi r^2h$

Substitute the values of r and h in the above formula we get,

$\begin{gathered} V=\frac{1}{3}\pi\times(4x)^2\times21xy^2 \\ =\frac{1}{3}\pi\times16x^2\times21xy^2 \\ =\pi\times16x^2\times7xy^2 \\ =112\pi x^3y^2 \end{gathered}$

Hence, the volume of the cone is

$V=112\pi x^3y^2$

Thus, the correct option is option D.

7 0

8 months ago

This mapping shows a functional relationship.

Dmitriy789 [7]

Answer:

Step-by-step explanation:

3 0

3 years ago

Show the steps to get full credit 3 (2x + 2) = 18 + 4(x - 5)