How do the graphs of y=1/x and y=5/(x+6 )compare
1 answer:
Answer:
Both graphs have the same shape but the following differences:
By looking at the graph we can se that the graph of y=5(x+6) is translated six units to the left with respect to the graph of y=1/x.
Also, the graph of y=5(x+6) grows or decay much faster than the graph of y=1/x, because the graph is enlarged by 5 units.
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Answer:
(x, y) = (-1, -3)
Step-by-step explanation:
The equations are "consistent" and "not dependent." This will be the case whenever the ratios of x- and y-coefficients are different.
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We can solve this by "elimination" by multiplying the first equation by -4 and adding the result of the second equation being multiplied by 7.
-4(2x -7y) +7(7x -4y) = -4(19) +7(5)
-8x +28y +49x -28y = -76 +35 . . . . eliminate parentheses
41x = -41 . . . . . simplify
x = -1 . . . . . . . divide by 41
Using the second equation, we find y to be ...
(7x -5)/4 = y = (7(-1) -5)/4 = -12/4 = -3
So, the solution is (x, y) = (-1, -3).
Answer:
b = 6.79
Step-by-step explanation:
Data provided:
logb(5) = 0.84
Now,
From the properties of log function
logₓ (z)= (where the base of the log is equal for both numerator and the denominator)
also,
log(xⁿ) = n × log(x)
thus,
using the above properties, we can deduce the results as:
logₓ(y) = n is equivalent to y = xⁿ
Thus,
logb(5) = 0.84
⇒ = 0.84
or
log(5) = 0.84 × log(b)
or
log(5) = (as log(xⁿ) = n × log(x) )
taking the anti-log both sides
we get
5 =
or
b = 6.79