Answer: stretched by a factor of 2 and translated 8 units right and 5 units down
Explanation:
These is the set of choices that accompany with this question:
<span>a) stretched by a factor of 2 and translated 64 units right and 5 units down
b) stretched by a factor of 8 and translated 8 units right and 5 units down
c) stretched by a factor of 2 and translated 8 units right and 5 units down
d) stretched by a factor of 8 and translated 64 units right and 5 units down
Solution:
</span>Let's work a little the given function to compare it with the parent function.
1) The given function is y = ∛[8x - 64] - 5
2) Extract common factor 8 of the expression inside the square brackets:
y = ∛[ 8( x - 8) ] - 5
3) Extract 8 from the root:
y = 2∛(x - 8) - 5
4) The parent function is ∛x. Call the parent function g(x) => g(x) = ∛x
5) Compare: y is 2 * g(x - 8) - 5
6) Analyze the meaning of that:
g(x - 8) means that the graph of the function is translated 8 units to the right
scaling by 2 means that the graph is stretch vertically (by a scale factor of 2)
- 5 means that the entire graph is shifted 5 units downward.
So, the description of the graph y = ∛(8x - 64) - 5 compared to the parent cube root function is: stretched by a factor of 2 and translated 8 units right and 5 units down
Each hour you work is already $7.00, without overtime (more than 40 hours a week)
So if you work 40h and earn $7.00 a week, 40h*$7.00 = $280
but since you work 50 hours, 10 hours are over time so you earn 1.5*the $7.00 which is $10.50 for those 10 hours
So $10.50*10h = $105
So now you add the 280 you already made plus the $105 in over time.
105+280
The answer is $385
Answer:
y - 6 = -7(x + 8)
Step-by-step explanation:
Slope: m = (y2-y1)/(x2-x1) = (6 - -1)/(-8 - -7) = (6 + 1)/(-8 + 7) = 7/-1 = -7
Point-slope form: y - 6 = -7(x - -8)
=> y - 6 = -7(x + 8)
The answer would be 1 1/4, or 1.25.
