Answer:
24x^2
Step-by-step explanation:
When expanded (x+2)^4= x^4+8x^3+24x^2+32x+16
The only term that matches with these is 24x^2
The parent function moves 4 units right and 3 units down. This is a translation by the vector.
According to the question,
Transformation
maps onto
. Take f(x) =
and f(x+4)=
.
f(x) = ![\sqrt[3]{x}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%7D)
f(x+4)=![\sqrt[3]{x+4}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%2B4%7D)
f(x+4) - 3=
- 3
Analyze the function to see the translations. f(x-4) corresponds to a horizontal translation 4 units in the positive 'x' direction. f(x)-3 corresponds to a vertical translation 3 units in the negative 'y' direction.
Hence, the parent function moves 4 units right and 3 units down. This is a translation by the vector.
Learn more about parent function here
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Answer:
a.

b. 10 
Step-by-step explanation:
= 100 -> so 100*0.005= 5
if you still dont understand search up "scientific notation"
y = 3/2x + b
Plug in the point (2,2) and solve for b.
2 = (3/2)(2) + b
2 = 3 + b
b = -1
Final equation is y = 3/2x - 1.
Ok. so lets call the cost of each soda x. now, 3 packs of soda is 10 less than five packs of soda. so the price of 3 packs of soda is 3x, the price of five packs is 5x. now, it says that 3 packs is 10 less than five packs. that means that 3x=5x-10.
now, to find the price of a pack of soda, we have to isolate x.
add 10 to both sides to get 3x+10=5x. now, we subtact 3x on both sides to get 10=2x. divide by 2 on both sides, x=5. a pack of soda is 5 dollars