Answer:
x = 2
Step-by-step explanation:
The relevant rule of logarithms is ...
log(a/b) = log(a) -log(b)
This lets us combine the logs on the left to get ...
log((6 +7x)/(3x -2)) = log(5)
Taking anti-logs gives ...
(6 +7x)/(3x -2) = 5
6 +7x = 5(3x -2) . . . . . multiply by (3x -2)
7x +6 = 15x -10 . . . . . eliminate parentheses
8x = 16 . . . . . . . . . . . add 10-7x to both sides
x = 2 . . . . . . . . . . . . . divide by 8
The solution is x = 2.
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The graph shows the left side of the equation is equal to the right side for x=2.
Answer:
c)-5(3x+2y)(3x-2y)
Step-by-step explanation:
1) lets find out if -45 and 20 have a GCF
-45 and 20 are both dividable by -5 so
-5(9x^2-4y^2)
1) you can see that 9 and -4 are perfect square so:
-5(3x+2y)(3x-2y)
Recheck:
1) lets use FOIL to see if this is right(if its right we will get back our original equation)
-5(9x^2-6xy+6xy-4y^2)
-5(9x^2-4y^2)
-45x^2+20y^2
hope this helps!
Answer:
Step-by-step explanation:
The equation of the line can be written in slope-intercept form, as y = mx + b.
We need to find the slope (m) and the y-intercept (b) of the line, then plug their values into the slope-intercept equation, to find the equation of the line shown.
y-intercept (b) = the point where the line intercepts the y-axis = 4
Using two points on the line, say, (0, 4) and (2, 3):
m = -½.
Substitute m = -½, and b = 4 into y = mx + b.
The equation of the line would be:
Answer:
Y = (- 3x + 9)/ 3 is the answer
Y = mx + c use formula
