Insert x + 3 instead of x into the equation of the function f(x):
f(x) = 3 - 6x²
f(x + 3) = 3 - 6(x + 3)²
use (a + b)² = a² + 2ab + b²
= 3 - 6(x² + 2(x)(3) + 3²) = 3 - 6(x² + 6x + 9)
use distributive property
= 3 + (-6)(x²) + (-6)(6x) + (-6)(9) = 3 - 6x² - 36x - 54
combine like terms
= -6x² - 36x - 51
<h3>Answer: f(x + 3) = -6x² - 36x - 51</h3>
48=x+y
143= 2x+4y
y= sheep
48-y = x
143=2(48-y)+4y
143= 96-2y+4y
143=96+2y
47=2y
y=19
19 sheep
Answer:
42 - (-24) = 66
Step-by-step explanation:
I'm not sure if this is the form of answer, but if you're subtracting a negative from a negative, you're adding a positive, so this is another way to write the expression.
Answer:
1/15
Step-by-step explanation:
-1/3 -(-3/5)
-1/3 + 3/5
(-1 × 5) / (3 × 5) + (3 × 3) / (5 × 3)
-5 / 15 + 6 / 15 = 1/15
