Answer:
g(x) = (1/6)(x +7)^2 -8
Step-by-step explanation:
The transformation ...
g(x) = a·f(x -h) +k
represents vertical scaling by a factor of 'a', right shift by h units, and up shift by k units. You want the function g(x) for f(x) = x^2, a = 1/6, h = -7, and k = -8. Those transformations give you ...
g(x) = (1/6)(x +7)^2 -8
Answer:
X = 5 unit
Step-by-step explanation:
Given as , ABC is a Triangle ,
AC extended to through C to D
∠BAC = 6x + 10
∠ABC = 6x - 10
∠BCD = ∠ 8x + 20
When c extended to D then , ∠BCD is an external angle
∵ <u>External angle = Sum of opposite internal angles</u>
Or ,∠BCD = ∠BAC + ∠ABC
Or, ∠ 8x + 20 = 6x + 10 + 6x - 10
Or, ∠ 8x + 20 = 12x
Or, 12x - 8x = 20
∴ 4x = 20
So, x = = 5
Hence the value of X = 5 unit Answer
Answer:
0.8%.
Step-by-step explanation:
Given:
At the start of the month, the value of an investment was $73.42.
By the end of the month, the value of the investment changed by a loss of $13.53.
Question asked:
What was the value, in dollars, of the investment at the end of the month?
What was the percent loss?
Solution:
At the start of the month, the value of an investment = $73.42.
Loss = $13.53.
<u><em>The value, of the investment at the end of the month = The value of an investment at the start of the month - loss</em></u>
The value, of the investment at the end of the month = $73.42 - $13.53
= $59.89
Thus, the value, of the investment at the end of the month is $59.89.
Now, we will find percent loss:-
Thus, percent loss on investment by the end of the month is 0.8%.