12 sessions.
EXPLANATION:
each session is 1 3/4 hours.
We need enough sessions for 21 hours.
the equation is 1 3/4 x f = 21
using the multiplication property of equality, we can do 21 divided by 1 3/4
The answer is 12 sessions.
Hope it helps!
Answer:
Equation: 139 + 3x + (5x - 10) + (10x - 9) + 3x = 540 (not simplified, see below for simplified)
x = 20
Step-by-step explanation:
If the sum of the angles is 540°, then that means you add them up to get 540°.
139 + 3x + (5x - 10) + (10x - 9) + 3x = 540
129 + 8x + (10x - 9) + 3x = 540
120 + 18x + 3x = 540
120 + 21x = 540
21x = 420
x = 20
Answer: Our required formula becomes :
Step-by-step explanation:
Since we have given that
We need to write a formula for f(b) in terms of b So, it becomes
Hence, our required formula becomes :
Answer:
f^-1(x) is 6x + 48
f(x) = 1/6x - 8
To find f^-1(x) equate f(x) to y
That's
f(x) = y
y = 1/6x - 8
Next interchange the terms
We have
x = 1/6y - 8
Make y the subject
Multiply through by 6
We have
6x = y - 48
y = 6x + 48
Therefore f^-1(x) is 6x + 48
Hope this helps you
Substitution:
2x + (6(1/2x - 6)) = 19
2x + 3x - 36 = 19
5x - 36 = 19
+ 36
5x = 55
÷ 5
x = 11
y = (1/2 × 11) - 6
y = 5.5 - 6
y = -0.5
Elimination:
y = 1/2x - 6
- y
0 = 1/2x - 6 - y
+ 6
1/2x - y = 6
3x - 6y = 36
2x + 6y = 19
(add)
5x = 55
÷ 5
x = 11
y = (1/2 × 11) - 6
y = 5.5 - 6
y = -0.5
I hope this helps! Let me know if you need me to explain why I did some things :)
