Answer as a fraction: 17/6
Answer in decimal form: 2.8333 (approximate)
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Work Shown:
Let's use the two black points to determine the equation of the red f(x) line.
Use the slope formula to get...
m = slope
m = (y2-y1)/(x2-x1)
m = (4-0.5)/(2-(-1))
m = (4-0.5)/(2+1)
m = 3.5/3
m = 35/30
m = (5*7)/(5*6)
m = 7/6
Now use the point slope form
y - y1 = m(x - x1)
y - 0.5 = (7/6)(x - (-1))
y - 0.5 = (7/6)(x + 1)
y - 0.5 = (7/6)x + 7/6
y = (7/6)x + 7/6 + 0.5
y = (7/6)x + 7/6 + 1/2
y = (7/6)x + 7/6 + 3/6
y = (7/6)x + 10/6
y = (7/6)x + 5/3
So,
f(x) = (7/6)x + 5/3
We'll use this later.
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We ultimately want to compute f(g(0))
Let's find g(0) first.
g(0) = 1 since the point (0,1) is on the g(x) graph
We then go from f(g(0)) to f(1). We replace g(0) with 1 since they are the same value.
We now use the f(x) function we computed earlier
f(x) = (7/6)x + 5/3
f(1) = (7/6)(1) + 5/3
f(1) = 7/6 + 5/3
f(1) = 7/6 + 10/6
f(1) = 17/6
f(1) = 2.8333 (approximate)
This ultimately means,
f(g(0)) = 17/6 as a fraction
f(g(0)) = 2.8333 as a decimal approximation
Answer:
Each knight will 4.8 hrs spend on guard in one day
Step-by-step explanation:
A castle has to be guarded 24 hours a day 5 knights are ordered to split each day's guard duty equally
Each knights has to guard equally l.e for equal time .
That means 24 hours time has to be equally divided among the 5 knights
= 24 / 5 = 4.8
Each knight will spend on guard in one day = 4.8 hrs
No your friend I’d not correct although the slope is 4, the y-intercept is -3 because of the minus 3 in the equation.
Answer:
A) 5
Step-by-step explanation:
distance = √(distance between x coordinates² + distance between y coordinates²)
the horizontal distance between the two points is 4
the vertical distance between the two points is 3
to prove this, if you started at Q and went 4 points right and then 3 points up, you would get to P
distance = √(4²+3²) = √25 = 5
Answer:
degree 0.089
radian -0.92
Step-by-step explanation:
