Answer: if there had been no current, the rate would have been 4 km/hr.
The rate of the current is 1.5km/hr
Step-by-step explanation:
Let x represent the speed of the boat in still water.
Let y represent the speed of the current.
Impeded by the current the outing club took 4 hours and 24 minutes(4 + 24/60 = 4.4 hours) to paddle 11 km up the exeter river to their campsite last weekend. This means that the total speed with which they travelled is (x - y) km/h
Distance = speed × time. Therefore
11 = 4.4(x - y)
Dividing through by 4.4, it becomes
2.5 = x - y - - - - - - - - - - -1
The next day the same current was with them and it took only 2 hours to make the return trip to campus. This means that the total speed with which they travelled is (x + y) km/h. The distance travelled is
11 = 2(x + y)
Dividing through by 2, it becomes
5.5 = x + y - - - - - - - - - - -2
Adding equation 1 to equation 2, it becomes
8 = 2x
x = 8/2 = 4
Substituting x = 4 into equation 1, it becomes
2.5 = 4 - y
y = 4 - 2.5
y = 1.5
Answer:
Step-by-step explanation:
Answer:
See the explanation.
Step-by-step explanation:
We are given the function f(x) = x² + 2x - 5
Zeros :
If f(x) = 0 i.e. x² + 2x - 5 = 0
The left hand side can not be factorized. Hence, use Sridhar Acharya formula and
and
⇒ x = -3.45 and 1.45
Y- intercept :
Putting x = 0, we get, f(x) = - 5, Hence, y-intercept is -5.
Maximum point :
Not defined
Minimum point:
The equation can be expressed as (x + 1)² = (y + 5)
This is an equation of parabola having the vertex at (-1,-5) and axis parallel to + y-axis
Therefore, the minimum point is (-1,-5)
Domain :
x can be any real number
Range:
f(x) ≥ - 6
Interval of increase:
Since this is a parabola having the vertex at (-1,-5) and axis parallel to + y-axis.
Therefore, interval of increase is +∞ > x > -1
Interval of decrease:
-∞ < x < -1
End behavior :
So, as x tends to +∞ , then f(x) tends to +∞
And as x tends to -∞, then f(x) tends to +∞. (Answer)
Answer:
$12.60
Step-by-step explanation:
42/30%=42/0.3=$12.60
Brainleist plz
(comment if spelling is wrong anywhere)
Answer:
a = 49°
Explanation:
You use the rule ‘exterior angle of a triangle’ which states that the exterior angle is equal to the sum of the two opposite interior angles.
To put it mathematically:
a + a = a + 49° (Ext angles of triangle)
a = a - a + 49°
a = 49°
