Step-by-step explanation:
f(x) = 2x² + 9
f(5) = 2(5)² + 9
= 2(25) + 9
= 50 + 9
= 59
9514 1404 393
Answer:
(-3, 9), (-1, 11), (0, 12), (4, 16), (6, 18)
Step-by-step explanation:
The function definition tells you that adding 12 to the x-value will give you the value of f(x).
-3 +12 = 9, for example
The (x, f(x)) values for the table are shown above.
Answer:
Step-by-step explanation:
y = mx +b
Here , m is the slope and b is the y-intercept
y = (1/2)x - 3
y-intercept = -3
So it's part of a diameter with the 40, so you should have taken 180-40=140 then it should have been set equal to 140. So 22x+8=140 then 22x=132 then 132÷22=6 so x=6
<h3>Rate of the boat in still water is 70 km/hr and rate of the current is 15 km/hr</h3><h3><u>Solution:</u></h3>
Given that,
A motorboat travels 165 kilometers in 3 hours going upstream and 510 kilometers in 6 hours going downstream
Therefore,
Upstream distance = 165 km
Upstream time = 3 hours
<h3><u>Find upstream speed:</u></h3>

Thus upstream speed is 55 km per hour
Downstream distance = 510 km
Downstream time = 6 hours
<h3><u>Find downstream speed:</u></h3>

Thus downstream speed is 85 km per hour
<em><u>If the speed of a boat in still water is u km/hr and the speed of the stream is v km/hr, then</u></em>
Speed downstream = u + v km/hr
Speed upstream = u - v km/hr
Therefore,
u + v = 85 ----- eqn 1
u - v = 55 ----- eqn 2
Solve both
Add them
u + v + u - v = 85 + 55
2u = 140
u = 70
<em><u>Substitute u = 70 in eqn 1</u></em>
70 + v = 85
v = 85 - 70
v = 15
Thus rate of the boat in still water is 70 km/hr and rate of the current is 15 km/hr