Answer:Least common multiple (LCM) of 3 and 4 is 12. Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor. Least Common Multiple of 3 and 4 with GCF Formula.
Step-by-step explanation:
Answer:
The inverse of f(x) is (x) = ± +
Step-by-step explanation:
To find the inverse of the quadratic function f(x) = ax² + bx + c, you should put it in the vertex form f(x) = a(x - h)² + k, where
- h =
∵ f(x) = 3x² - 3x - 2
→ Compare it with the 1st form above to find a and b
∴ a = 3 and b = -3
→ Use the rule of h to find it
∵ h = = =
∴ h =
→ Substitute x by the value of h in f to find k
∵ k = 3( )² - 3( ) - 2
∴ k =
→ Substitute the values of a, h, and k in the vertex form above
∵ f(x) = 3(x - )² +
∴ f(x) = 3(x - )² -
Now let us find the inverse of f(x)
∵ f(x) = y
∴ y = 3(x - )² -
→ Switch x and y
∵ x = 3(y - )² -
→ Add to both sides
∴ x + = 3(y - )²
→ Divide both sides by 3
∵ = (y - )²
→ Take √ for both sides
∴ ± = y -
→ Add to both sides
∴ ± + = y
→ Replace y by (x)
∴ (x) = ± +
∴ The inverse of f(x) is (x) = ± +
The answer is 640 because if you multiply the total student of 6h grade by 100 and divide by 30. You will get the total of student in the school