Which is a correct first step in solving the inequality -4(2x - 1) > 5 - 3x?

Step-by-step explanation:

opening the bracket,the equation therefore is

-8x + 1 > 5 - 3x

add 8x to both sides

- 8x + 8x +1 > 5 - 3x + 8x

1 > 5 + 5x

subtract 5 from both sides

1 - 5 > 5 - 5 + 5x

-4 > 5x

Divide through by 5

-4/5 > x

which is therefore written is

x < -4/5

first option

a function is a relation in which an input is paired with exactly one output.

so, let's find the right answer.

in our first option, our inputs are january, february, and march. the outputs are 30, 28, and 25. each input has it's own output. this is correct!

our second option we know is incorrect, because ms. valverade has two outputs, dogs and cats. this is not a function.

our third option is incorrect as well. the yellow square has two ouputs, the square and the triangle.

lastly, in our fourth option, we see the number 7 two times with a different output. therefore, this is not a function.

remember: each input must be paired with only one output!

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)