1. (x + 2 < 5) Subtract two from each side to get (x < 3)
2. (x - 7 > -6) Add 7 to both sides to get (x > 1)
1day=24 hours
10 days=240hours
60mins=1hr
30mins=1/2hr
total is 240hr+21hr+0.5hr=261.5hr
total is 261.5hr
Answer:
C. 50 degrees
Step-by-step explanation:
Angle EDG is 90 degrees
x = 10
5 multiplied by 10 is 50
4 multiplied by 10 is 40
40+50=90
Answer:
a. p1(x) = 2 - x
b. p2(x) = x² - 3*x + 3
c. p1(0.97) = 1.03; p2(0.97) = 1.0309
Step-by-step explanation:
f(x) = 1/x
f'(x) = -1/x²
f''(x) = 2/x³
a = 1
a. The linear approximating polynomial is:
p1(x) = f(a) + f'(a)*(x - a)
p1(x) = 1/1 + -1/1² * (x - 1)
p1(x) = 1 - x + 1
p1(x) = 2 - x
b. The quadratic approximating polynomial is:
p2(x) = p1(x) + 1/2 * f''(a)*(x - a)²
p2(x) = 2 - x + 1/2 * 2/1³ * (x - 1)²
p2(x) = 2 - x + (x - 1)²
p2(x) = 2 - x + x² - 2*x + 1
p2(x) = x² - 3*x + 3
c. approximate 1/0.97 using p1(x)
p1(0.97) = 2 - 0.97 = 1.03
approximate 1/0.97 using p2(x)
p2(0.97) = 0.97² - 3*0.97 + 3 = 1.0309
answer:
-1
work:
y = mx+ b
so we can tell that the Y intercept is 1, so we can plug that in. ( + b is the y-intercept)
y = mx + 1
plug in some values to find the slope.
(-1, 2)
2 = -m + 1
- 1 - 1
1 = -1m
/-1 /-1
-1 = m
the slope is -1.
i hope this helps! :D