If you could help I would really appreciate it, but if not that’s fine. Thank you.

Mathematics

1 answer:

dolphi86 [110]3 years ago

6 0

Answer:

Step-by-step explanation:

j(2) means that x equals 2...

the first inequality in the function says that x is greater than or equal to 2

the second inequality states that x is greater than 2(not equal to) and is less than or equal to 5

the third one states that x is greater than 5

x applies to the first inequality since we know that x can be equal to 2

Now, to the number before the if

there is a 3 before the if in the first inequality

This means that if x is greater than or equal to 2 the y or the function would equal 3

therefore, j(2) would equal 3

I hope this helps!!!

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What is the slope of a line perpendicular to the line whose equation is 2x+2y=28

malfutka [58]

Answer:

Step-by-step explanation:

1) First, place the given equation in slope-intercept form ( $y = mx +b$ format) to find its slope easier. Isolate the y:

$2x + 2y = 28\\2y = -2x + 28\\y = -x+14$

So, the equation of the line in slope-intercept form is $y = -x + 14$ . When an equation is in slope-intercept form, the $m$ , or the coefficient of the x-term, represents the slope. Thus, the slope for the given line would be -1.

2) Lines that are perpendicular have slopes that are opposite reciprocals of each other. We need to find the opposite reciprocal of -1, then.

To find the opposite reciprocal of a number, write the given number as a fraction first -- making -1 be written as $-\frac{1}{1}$ -- then switch the sign and flip the numerator and denominator. So, the opposite reciprocal of -1 is 1, and 1 is the slope of the perpendicular line.