Answer:
4(k - 3)(3k + 5)
Step-by-step explanation:
Given
12k² - 16k - 60 ← factor out 4 from each term
= 4(3k² - 4k - 15) ← factor the quadratic
Consider the factors of the product of the coefficient of the k² term and the constant term which sum to give the coefficient of the k term
product = 3 × - 15 = - 45 , sum = - 4
Factors are - 9 and + 5
Use these factors to split the middle term
3k² - 9k + 5k - 15 → ( factor the first/second and third/fourth terms
= 3k(k - 3) + 5(k - 3) ← factor out (k - 3)
= (k - 3)(3k + 5)
Hence
12k² - 16k - 60 = 4(k - 3)(3k + 5) ← in factored form
To write it in function notation you'll convert it into a function, substituting y by f(x):
y = 3x - 8 = f(x) = 3x - 8
Hope it helped,
BioTeacher101
Isometry means lengths are preserved, and hence shapes must remain congruent.
Any dilation, stretching, etc are therefore excluded.
The transformations on the list that are examples of isometry are therefore:
rotation
translation
reflection
Answer:
Y >= ABS(x-5) + 1
Step-by-step explanation:
Any graph that forms a "V" involves absolute value. So what equation would give the vertex y=1 at x=5, ABS(X-5) + 1.
