Answer:
x>-8
Step-by-step explanation:
7x+11>5x-5
2x+11>-5
2x>-16
x>-8
the > sign acts like an equal sign :)
To find the reciprocal of a number, just flip the numerator and the denominator around.
A. The reciprocal of 2/3 is 3/2.
C. Firstly, convert the mixed fraction into an improper fraction. Multiply the whole number by the denominator and add the numerator to that product. After that, put the quantity on the numerator. In this case, 6 x 6 = 36 and 36 + 1 = 37, so our improper fraction is 37/6. Next, just flip the numerator and denominator around, and your reciprocal is 6/37.
3.) (2,1), (4,2), (6,4), (7,5), (8,6)
(0,0)(1,3) = (3 - 0) / (1 - 0) = 3
slope = 3
equation for this line is y = 3x...and since u have (0,0) as a point on this line, ur y int is (0,0)
g(x) = 7x + 2...slope here is 7 and y int is (0,2)
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The slope of f(x) = 3. I found this using the slope formula (y2 - y1) / (x2 - x1).
The slope of g(x) = 7. Because in y = mx + b form, the slope is in the m position.
g(x) has a steeper slope.
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f(x) has a y int of (0,0)...the line cuts thru the origin.
g(x) has a y int of (0,2)...because in y = mx + b form, the y int will be in the b position.
So, g(x) has a greater y int.
