Answer:
The value of x = -6
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given that g(x) = 2 x + 4 and g (x ) = -8
⇒ Equating
2 x +4 = - 8
Subtracting '4' on both sides, we get
2 x + 4 - 4 = -8 -4
⇒ 2 x + 0 = -12
⇒ 2 x = -12
<u><em>Step(ii):-</em></u>
Dividing '2' on both sides, we get
x = -6
The value of x = -6
The y intercept is (0,0) and the slope is 4
Answer: The height of the new player is 210 cm
Step-by-step explanation: The previous mean of the entire team has been calculated as 200.3
What this means is that, we have a summation of the observed data and a summation of the frequency of data.
The mean was calculated as
Sum FX/Sum F = 200.3
Where Sum FX is 2604 and Sum F is 13
However, our calculation should now read thus,
Sum FX/Sum F = 201 {where 201 is the new mean}
By cross multiplication we now have
Sum FX = Sum F x 201
Remember that a new member has joined the team so our Sum F is now 14 and we can now express it as thus
Sum FX = 14 x 201
Sum FX = 2814
If the summation of the observed data after adding a new team member is now 2814, then the addition to the previous observed data would be
2814 - 2604 = 210
So the height of the new member added to the team is 210 cm.
Answer:
150 = x
Step-by-step explanation:
We can use a ratio to solve
100 batches x batches
------------------- = ---------------------
8 hours 12 hours
Using cross products
100 * 12 = 8x
1200 = 8x
Divide by 8
1200/8 = 8x/8
150 = x
