120*.75=90dollars is the sale price
Answer: 3x plus 36
Step-by-step explanation:
You multiply inside the brackets by 3 and you get 3x+36
Answer: 8
Step-by-step explanation: first multiply 12x4x8 for jakes gift. that is 384
then make each of the dimensions twice as large. so havanas dimensions would be. 24x8x16
24x8x16=3,072
last divide 3,072 by 384 and the answer would be 8
Havana's box is 8 times larger.
The first thing we must do in this case is find the derivatives:
y = a sin (x) + b cos (x)
y '= a cos (x) - b sin (x)
y '' = -a sin (x) - b cos (x)
Substituting the values:
(-a sin (x) - b cos (x)) + (a cos (x) - b sin (x)) - 7 (a sin (x) + b cos (x)) = sin (x)
We rewrite:
(-a sin (x) - b cos (x)) + (a cos (x) - b sin (x)) - 7 (a sin (x) + b cos (x)) = sin (x)
sin (x) * (- a-b-7a) + cos (x) * (- b + a-7b) = sin (x)
sin (x) * (- b-8a) + cos (x) * (a-8b) = sin (x)
From here we get the system:
-b-8a = 1
a-8b = 0
Whose solution is:
a = -8 / 65
b = -1 / 65
Answer:
constants a and b are:
a = -8 / 65
b = -1 / 65
