The sum of two numbers is -1. when twice the first number in four times the second number are added, it equals -10. what are the two numbers?

3 and -4

Step-by-step explanation:

First, you write out each statement as an equation:

x + y = -1

2x + 4y = -10

Next, rewrite one equation so only x is on one side of the equation, and plug it into the other equation, and solve for y:

x = -y - 1

2 (-y - 1) + 4y = -10

-2y - 2 + 4y = -10

2y = -8

y = -4

Plug the found value for y into the original equation and solve for x:

x + y = -1

x - 4 = -1

x = 3

Plug both values into the second equation to check your work:

2x + 4y = -10

2(3) + 4(-4) = -10

6 - 16 = -10

-10 = -10

- 2 + 10x³ - 21x² + 19x - 4

step-by-step explanation:

each term in the second factor is multiplied by each term in the first factor

x²(- 2x² + 4x - 1) - 3x(- 2x² + 4x - 1) + 4(- 2x² + 4x - 1) ← distribute

= - 2 + 4x³ - x² + 6x³ - 12x² + 3x -8x² + 16x - 4

collect like terms

= - 2 + 10x³ - 21x² + 19x - 4 ← in standard form

answer: a) (0,0), (1,1), (2,8), and (3,27).

step-by-step explanation:

0^3=0

1^3=1

2^3=8

3^3=27

in effect, the exponential equation for this would me y=3^x. each x-coordinate cubed is giving the y coordinate, so a is your answer : )