Answer:
See below
Step-by-step explanation:
we have f(x) = -(x-7) + 3
and we want to find f(4)
essentially, f(4) means that the input is 4 and to find the output we plug in the value of the input where ever x is and evaluate.
So for f(x) = -(x-7) + 3
To find f(4) we replace all x's with 4
f(4) = -(4-7) + 3
we now evaluate
==> subtract 7 from 4
f(4) = -(-3) + 3
==> apply two negative rule ( basically if there are two negative signs they cancel out and the number turn positive )
f(4) = 3 + 3
==> add 3 and 3
f(4) = 6
Answer:
True
Step-by-step explanation:
We know that the debt-to-GRD ratio is 84% and we also know that debt-to-GDP ratio of 100% means that a country's debt is equal to its gross domestic product. The higher the ratio, the less likely a country will be able to repay its debt.
For that reason if a country debt-to-GRD ratio is 84% then, the country is producing more than it's borrowing.
A z score of 0.97 corresponds with a probability of 83.40%
The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:

From the normal distribution table:
P(z < 0.97) = 0.8340 = 83.40%
A z score of 0.97 corresponds with a probability of 83.40%
Find out more on z score at: brainly.com/question/25638875
Answer:
9/2 [ cos(15x) + cos(3x) ]
Step-by-step explanation:
9cos(6x) . cos(9x) can be expressed as
= 9/2 * 2cos (6x) * cos(9x) next here we will apply the rule
2cosA . cosB = cos(A+B) + cos( A-B)
where A = 6x , B = 9x
hence : 9cos(6x) . cos(9x) expressed as a sum will be
= 9/2 * [cos( 6x+ 9x) + cos( 6x - 9x ) ]
= 9/2 [ cos (15x ) + cos(-3x) ]
the final sum = 9/2 [ cos(15x) + cos(3x) ]