Answer:
See below.
Step-by-step explanation:
p^2 - 6p - 16 p^2 - 9 ( p - 8)( p + 2) (p + 3)(p - 3)
------------------ + ---------- = ------------------- + -----------------
p^2 - 7p - 18 p + 3 (p - 9)( p + 2) (p + 3)
p - 8
= ------ + (p - 3) (answer)
p - 9
Answer:
ucan use the calculator
Step-by-step explanation:
i) 1.125
and rest do by calculator
Answer: the 4th/last option
Step-by-step explanation:
Y goes up when x goes down or up. When x = 0, y = 2
Answer:
5x + 4($1.5) = $12.25
Step-by-step explanation:
Since we know that the paper is $1.50 per package and she bought 4 packages of paper, then she spent a total of $6 on the paper. Which leaves ($12.25-$6) $6.25 that she spent on buying 5 pencils. Now the cost per pencil can be derived by dividing $6.25/5, which is $1.25. Each pencil is $1.25.
The equation that can be used is the following where the cost per pencil is represented by x:
5x + 4($1.5) = $12.25
Step-by-step explanation:
According to factor theorem, if x − c is a factor of f(x), then f(c) = 0.
Conversely, if f(c) = 0, then x −c is a factor of f(x).
a) If x − 3 is a factor of f(x), then f(3) will be 0.
f(3) = 4(3)³ − 12(3)² + 2(3) − 6
f(3) = 0
b) Having shown that x − 3 is a factor of f(x), we can use grouping or long division to factor f(x):
f(x) = 4x³ − 12x² + 2x − 6
f(x) = 4x² (x − 3) + 2 (x − 3)
f(x) = (4x² + 2) (x − 3)
Since 4x² + 2 has only imaginary zeros, 3 is the only real root.
