Answer:
<u>I get 458, but please check the calculations.</u>
Step-by-step explanation:
See attachment. I worked down the pyramid until I has enough information to calculate x. For example, 919 had to be the difference of (1729 - 810) for a sum of 1729. 129 had to be the difference of (919-790). 681 is the difference of (810 - 129). And so on . . .
Answer:
The point of intersection is (0,-2).
Step-by-step explanation:
Equation 1:
Equation 2 :
Plot the lines on the graph
Refer the attached figure
Equation 1:
Equation 2 :
Point of intersection : A point where both the lines intersect is called point of intersection.
So, Both lines intersect at point (0,-2)
So, Point of intersection is (0,-2)
Hence The point of intersection is (0,-2).
Answer:
x = 1
Step-by-step explanation:
3^2x - 9 (3^-2x) = 8
<=> 3^2x - 9/(3^2x) = 8
Given that 3^2x = y [1] (y>0), we have a new equation as follows:
y - 9× = 8
<=> y - 9/y = 8
<=> y(y - 9/y) = y×8
<=> y^2 - 9 = 8×y
<=> y^2 - 8y - 9 = 0
<=> (y^2 + y) - (9×y + 9) = 0
<=> y(y + 1) - 9(y + 1) = 0
<=> (y - 9)(y + 1) = 0
=> y = 9, or y = - 1
However, as 3^2x > 0, y>0.
Therefore, y = 9.
Replace y with 9 in [1], we have:
3^2x = 9 = 3^2
=> 2x = 2
=> x = 1