Answer:
a) The equation has the greatest slope.
Step-by-step explanation:
The table has the values as shown below;
x y
1 3
2 6
3 9
The gradient of the line can be found as;
m=Δy/Δx
m= 9-3 /3-1
m= 6/2
m₁= 3
The equation of the other line is : y=4x
The gradient is , m₂ = 4
The presentation with the greatest slope is the equation that has a slope of 4.
Answer:
Step-by-step explanation:
<u><em>First time drawing:</em></u>
Total outcome is 8
Favorable outcome is 2
The probability that the first marble drawing in random is blue is
= 
<u><em>Second time drawing (with no replacement): </em></u>
Total outcome is 7 (8 - 1 = 7)
Favorable outcome is 2
The probability that the second marble drawing in random is yellow is
<em>The probability that the first marble is blue and the second marble is yellow is</em> × = 
=
You can use calculus ( related rates). Given the rate os change of the radius for example you can find the rate of change of volume using differential calculus.
Using a system of linear equations, the distance between points A and B is 6000 cm
Time taken = Distance / speed
Let ; distance = d
<u>To</u><u> </u><u>time</u><u> </u><u>:</u><u> </u>
- <u>t</u> = d / 4
- <em>4t = d ______(1)</em>
<u>Fro</u><u> </u><u>time</u><u> </u><u>:</u><u> </u>
(t + 15 × 60) = d / 2.5
2.5(t + 900) = d
<em>2.5t + </em><em>2250</em><em> = d ______(2)</em>
Equate (1) and (2)
4t = 2.5t + 2250
4t - 2.5t = 2250
1.5t = 2250
t = 1500 seconds
From (1) :
d = 4t
d = 4(1500)
d = 6000 cm
Therefore, the distance from point A to B is 6000 cm
Learn more : brainly.com/question/14000187
