Answer:
1. 8y - 9y = -1y
( 8 - 9 = -1)
3. <u>8a</u> - 6 <u>+a</u> - 1
( i have showed the like terms here)
8a - 1a= 7a
-6 - 1 = -7
7a - 7
5. -x - 2 + 15x
( i have showed the like terms here)
-x + 15x = 14x
(x = 1)
14x + 2
7.<u> 8d</u> - 4 <u>- d</u> - 2
( i have showed the like terms here)
8d - d = 7d
-4 -2 = -6
7d - 6
8. 9a <u>+ 8</u> - 2a<u> - 3</u> - 5a
( i have showed the like terms here)
9a - 2a - 5a = 2a
8 - 3= 5
2a + 5
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
The earth is 93 million miles away from the sun. 93 million times 10 is 930,000,000 away. Mars is currently 141.6 million miles from the sun. Assuming the planets were in a straight line you would subtract from 141.6 million miles the 93 million miles so that would put us within 48,600,000 miles of Mars. So the answer is we would be closest to Mars.
