Simplifying
f + -6 = 3f + 1
Reorder the terms:
-6 + f = 3f + 1
Reorder the terms:
-6 + f = 1 + 3f
Solving
-6 + f = 1 + 3f
Solving for variable 'f'.
Move all terms containing f to the left, all other terms to the right.
Add '-3f' to each side of the equation.
-6 + f + -3f = 1 + 3f + -3f
Combine like terms: f + -3f = -2f
-6 + -2f = 1 + 3f + -3f
Combine like terms: 3f + -3f = 0
-6 + -2f = 1 + 0
-6 + -2f = 1
Add '6' to each side of the equation.
-6 + 6 + -2f = 1 + 6
Combine like terms: -6 + 6 = 0
0 + -2f = 1 + 6
-2f = 1 + 6
Combine like terms: 1 + 6 = 7
-2f = 7
Divide each side by '-2'.
f = -3.5
Simplifying
f = -3.5
The value of x when y is 14.4 is 5.
It is given that
y ∝ 1/x
y = k/x....(1)
Where k is a constant of proportionality
<h3>What is the constant of proportionality?</h3>
The constant of proportionality is the ratio that relates two given values.
When y =6, x=12
Means, 6 = k/12
k = 72
Putting the value of k in equation (1)
y = 72/ x
14.4 = 72/ x
x = 5
Therefore, The value of x when y is 14.4 is 5.
To get more about the constant of proportionality visit:
brainly.com/question/1835116
To solve divide both sides by 4 to cancel out the 4 on the x side to get x alone. Then just do -10/4. That gives you 2.5 so (X=2.5). Hope I helped and have a great day and night
Answer:
1.320 ,
2.322
Step-by-step explanation:
1. Given that,
a+1/a=18
now,
(a- 1/a)² =( a+1/a)² - 4a. 1/a [(a- b)² =( a+b)² - 4a. b ]
=18² - 4 . 1 [as, a . 1/a =1 ]
=324 - 4
=320
2.Given that,
a - 1/a=4
now,
a⁴+(1/a)⁴
=(a²)² + (1/a²)² [a⁴=(a²)² & (1/a)⁴=(1/a²)²]
=(a²+1/a²) ²- 2 a². (1/a²) [a²+b²=(a+b)²-2ab]
=[(a - 1/a)² +2.a. 1/a]² - 2 [a²+b²=(a-b)²+2ab]
=[4²+2]² -2
=[16+2]²-2
=18²-2
=324-2
=322
