The answer is 4 hope this helps
Answer:
(-1)
Step-by-step explanation:
y = ?
Answer :
-4(y - 2) = 12
(-4 . y) - (-4 . 2) = 12
-4y - (-8) = 12
-4y + 8 = 12
-4y = 12 - 8
-4y = 4
y = -4/4
y = (-1)
C is the answer f(2)= 6*2+2=14
<h3>
Answer: E) y = -25/13</h3>
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Work Shown:
Let x = log(y+2)
The given equation becomes
4x = 3x-log(13)
Solving for x leads to
4x-3x = -log(13)
x = -log(13)
Then substituting gets us
log(y+2) = -log(13)
log(y+2) = log(13^(-1)) .... use the rule that A*log(B) = log(B^A)
log(y+2) = log(1/13)
y+2 = 1/13 ................. used the rule if log(A) = log(B), then A = B
y = (1/13) - 2
y = (1/13) - (26/13)
y = (1-26)/13
y = -25/13 .... answer is choice E
For each step, the logs are the same base. The base doesn't matter. It can be base 10 or base 2 or base e. As long as the base stays consistent is all that matters. Also, the base cannot be 1, 0 or a negative number. The base can be any other real number.
Step-by-step explanation:
first we need to find the slope of the line.
the slope is the ratio of "y coordinate change / x coordinate change" when going from one point to the other.
we see here
x changes by -4 (from -4 to -8).
y changes by +3 (from -5 to -2).
so, the slope is +3/-4 = -3/4
there are two main forms for the equation of a line :
the slope-intercept form
y = ax + b
and the point-slope form
y - y1 = a(x - x1)
where "a" is the slope, and (x1, y1) is a point on the line.
we can pick any point, and I would pick (-4, -5).
so we get as point-slope form
y + 5 = -3/4 × (x + 4)
or for the slope intercept form we simplify the point-slope form
y + 5 = -3/4 x + -3/4 × 4 = -3/4 x - 3
y = -3/4 x - 8
