Answer:
11/6
Step-by-step explanation:
<u>Step 1: Convert to Improper fractions</u>
3 1/3 = 3*3/3 + 1/3 = 9/3 + 1/3 = 10/3
1 1/2 = 1*2/2 + 1/2 = 2/2 + 1/2 = 3/2
<u>Step 2: Make common denominators</u>
10/3 * 2/2 = 20/6
3/2 * 3/3 = 9/6
<u>Step 3: Subtract</u>
20/6 - 9/6
11/6
Answer: 11/6
Answer:
YES! we conclude that f(x) = 1/3x + 5 and g(x) = 3x - 15 are inverse functions.
Step-by-step explanation:
Given
Given that the function f(x) and g(x) are inverse functions.
To determine
Let us determine whether f(x) = 1/3x + 5 and g(x) = 3x - 15 are inverse functions.
<u>Determining the inverse function of f(x) </u>
A function g is the inverse function of f if for y = f(x), x = g(y)
Replace x with y
Solve for y
Therefore,
YES! we conclude that f(x) = 1/3x + 5 and g(x) = 3x - 15 are inverse functions.
Each time they assume the sum<span> is </span>rational<span>; however, upon rearranging the terms of their equation, they get a contradiction (that an </span>irrational number<span> is equal to a </span>rational number<span>). Since the assumption that the </span>sum of a rational<span> and </span>irrational number<span> is </span>rational<span>leads to a contradiction, the </span>sum<span> must be </span>irrational<span>.</span>
The height of the kite is 3 feet. Here’s
why;
We know that BH=2A (base times height is equal to 2 times the area) of any given triangle.
Lets plug in values;
BH=2A
4(H)=2(6)
Then simplify;
4(H)=12
Flip the equation to find the missing value;
12 divided by 4 is 3.
Check your work;
4(3)=6(2):
12=12
The height of the kite is 3 feet.
Let, the angles = a, b
It is given that, a+b /5 = 24
a + b = 120 --- equation (1)
a-b/2 = 14
a - b = 28 ---- equation (2)
a = 28 + b
Now, substitute this value of b in equation (1),
28 + b + b = 120
2b = 120 - 28
b = 92/2
b = 46
Now, a = 28 + b = 28 + 46 = 74
In short, Your Angles are 74 and 46
Hope this helps!
