Conversion a mixed number 5 3
8
to a improper fraction: 5 3/8 = 5 3
8
= 5 · 8 + 3
8
= 40 + 3
8
= 43
8
To find new numerator:
a) Multiply the whole number 5 by the denominator 8. Whole number 5 equally 5 * 8
8
= 40
8
b) Add the answer from previous step 40 to the numerator 3. New numerator is 40 + 3 = 43
c) Write previous answer (new numerator 43) over the denominator 8.
Five and three eighths is forty-three eighths
Conversion a mixed number 2 11
12
to a improper fraction: 2 11/12 = 2 11
12
= 2 · 12 + 11
12
= 24 + 11
12
= 35
12
To find new numerator:
a) Multiply the whole number 2 by the denominator 12. Whole number 2 equally 2 * 12
12
= 24
12
b) Add the answer from previous step 24 to the numerator 11. New numerator is 24 + 11 = 35
c) Write previous answer (new numerator 35) over the denominator 12.
Two and eleven twelfths is thirty-five twelfths
Subtract: 43
8
- 35
12
= 43 · 3
8 · 3
- 35 · 2
12 · 2
= 129
24
- 70
24
= 129 - 70
24
= 59
24
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(8, 12) = 24. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 8 × 12 = 96. In the next intermediate step the fraction result cannot be further simplified by cancelling.
In words - forty-three eighths minus thirty-five twelfths = fifty-nine twenty-fourths.
So,
To compose a function with another, substitute the inside function into every place where x appears in the outer function.
For (h * h)(x), substitute h(x) for every x in the outer function, h(x).
![h(x)=\frac{6}{x}-->(h^oh)(x)=\frac{6}{\frac{6}{x}}=6*\frac{x}{6}=x](https://tex.z-dn.net/?f=h%28x%29%3D%5Cfrac%7B6%7D%7Bx%7D--%3E%28h%5Eoh%29%28x%29%3D%5Cfrac%7B6%7D%7B%5Cfrac%7B6%7D%7Bx%7D%7D%3D6%2A%5Cfrac%7Bx%7D%7B6%7D%3Dx)
For (f * f)(x), substitute f(x) for every x in the outer function, f(x).
![f(x)=x^2-5-->(f^of)(x)=(x^2-5)^2-5=x^4-10x^2+20](https://tex.z-dn.net/?f=f%28x%29%3Dx%5E2-5--%3E%28f%5Eof%29%28x%29%3D%28x%5E2-5%29%5E2-5%3Dx%5E4-10x%5E2%2B20)
Hope this helps!
Answer:
20.58 rounded to 21 years
Step-by-step explanation:
147 *14%=
147*0.14=
20.58 ROUND TO 21 years
By converse of isosceles triangle theorem, 5x+5=7x-1
5x+5=7x-1
-5x+5x+5=7x-5x-1
5=2x-1
5+1=2x-1+1
6=2x
6/2=2/2x
X=3
AC=6x+7 when x=3
6x+7=6 (3)+7=18+7=25
AC=25
Answer:
C
Step-by-step explanation: