Let y = 3^x , then 9^x = (3^2)^x = (3^x)^2 = y^2, so we can write the equation as
y^2 - 10y + 9 = 0
(y - 9)(y - 1) = 0
giving y = 9 or y = 1
Therefore 3^x = 9 giving x = 2
and 3^x = 1 giving x = 0
so the solution set is {0, 2}
Note - I have assumed that the 'x' after the 10 means 'multiply'. Is that correct?
Answer:
Step-by-step explanation:
x + 6y = 9
-x + 2y = -15
-------------------add
8y = - 6 <=== u see that the x terms cancel each other out
2028/x=100/30
<span>(2028/x)*x=(100/30)*x </span>we multiply both sides of the equation by x
<span>2028=3.3333333333333*x </span>we divide both sides of the equation by (3.3333333333333) to get x
<span>2028/3.3333333333333=x </span>
<span>608.4=x </span>
<span>x=608.4
so there for its 608.4 hope this helps.</span>
Answer:

Step-by-step explanation:
step 1
if 1,584 is decreased by 18%
we know that

Multiply the number by 0.82

step 2
The number 1,298.88 is increased by a 19%
we know that

Multiply the number by 1.19

170*3=510
510 calories in the whole bar.
Hope this helps!