Answer:
D. 5/6
Step-by-step explanation:
The given fractions have decimal values of ...
2/3 ≈ 0.67
6/7 ≈ 0.86
The answer choices are approximately 0.60, 0.50, 0.43, and 0.83.
The last choice (5/6) is between 2/3 and 6/7.
Using a common denominator of 42, these three fractions are ...
2/3 = 28/42
5/6 = 35/42
6/7 = 36/42
The fraction 5/6 lies between 2/3 and 6/7.
_____
It is useful to memorize the decimal equivalents of fractions with denominators of 10 or less. There are some patterns involved that make it easier.
Answer:
y = 3x-16
Step-by-step explanation:
two points where the line goes through is (5,-4) as mentioned and (0,-16)
Answer:
g(0.9) ≈ -2.6
g(1.1) ≈ 0.6
For 1.1 the estimation is a bit too high and for 0.9 it is too low.
Step-by-step explanation:
For values of x near 1 we can estimate g(x) with t(x) = g'(1) (x-1) + g(1). Note that g'(1) = 1²+15 = 16, and for values near one g'(x) is increasing because x² is increasing for positive values. This means that the tangent line t(x) will be above the graph of g, and the estimates we will make are a bit too big for values at the right of 1, like 1.1, and they will be too low for values at the left like 0.9.
For 0.9, we estimate
g(0.9) ≈ 16* (-0.1) -1 = -2.6
g(1.1) ≈ 16* 0.1 -1 = 0.6
