Let h(x) = x + 6 and g(x) = x^2 - 4x + 2 Find h(x) · g(x)

Mathematics

2 answers:

grin007 [14]3 years ago

5 0

Answer:

x³ + 2x² - 22x +12

Step-by-step explanation:

( x + 6 ) ( x² - 4x + 2 ) = x³ - 4x² + 2x + 6x² - 24x + 12

= x³ + 2x² - 22x +12

kenny6666 [7]3 years ago

3 0

Answer: x³+2x²-22x+12

Step-by-step explanation:

the product of functions: (hg)(x)

Use FOIL to solve this (First Outer Inner Later)

(x+6)(x²-4x+2)

=x³-4x²+2x+6x²-24x+12

=x³-4x²+6x²+2x-24x+12

=x³+2x²-22x+12

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Write an equation that represents the relationship between the number of weeks Jack saves and the total amount of money saved

arsen [322]

The complete question in the attached figure

Let
w --------> represent the number of weeks that Jack saves
s --------- > represent the total amount saved, in dollars

step 1
find the equation of the line
points
(2,12) and (4,24)
slope m=(s2-s1)/(w2-w1)------->m=(24-12)/(4-2)-----> m=6

step 2
with m=6 and point (2,12)
s-s1=m*(w-w1)--------> s-12=6*(w-2)-----> s=6w-12+12-----> s=6w

the answer is
s=6w