Answer:
- x-intercept: 82.75
- y-intercept: 2.15
Step-by-step explanation:
A graphing calculator can show you the intercepts.
___
Or you can figure them out.
The y-intercept is where x=0, so is ...
y = log(12·0 +7) -3 = log(7) -3 ≈ -2.1549 ≈ -2.15
___
The x-intercept is where y = 0, so is ...
0 = log(12x +7) -3
3 = log(12x +7) . . . . . . add 3
10^3 = 12x +7 . . . . . . . take the antilog
993 = 12x . . . . . . . . . . subtract 7
993/12 = x = 82.75 . . . divide by the coefficient of x
Answer:
−
21
x
+
28
, 7
, 3
x
−
4
, −
7
(
3
x
−
4
)
, −
7
,
3
x
+
4
, −
(
21
x
−
4
)
Step-by-step explanation:
too much to explain sorry
Hope this helped!
For this case we have the following relationship for the number of carpeted cubicles:

Where,
y: total number of cubicles
x: fraction of carpeted cubicles.
Therefore, substituting values we have:

Answer:
The number of carpeted cubicles is given by:

Applying the segment addition postulate:
x = 2.75
AB = 6x = 6(2.75) = 16.5 units
BC = 8x + 1/4 = 8(2.75) + 1/4 = 22.25 units.
<h3>What is the Segment Addition Postulate?</h3>
Based on the segment addition postulate, since B lies between points A and C on a line segment, then:
AB + BC = AC
AC = 38 3/4
AB = 6x
BC = 8x + 1/4
Substitute
6x + 8x + 1/4 = 38 3/4 [segment addition postulate]
14x + 1/4 = 155/4
14x = 155/4 - 1/4
14x = (155 - 1)/4
14x = 154/4
14x × 4 = 154
56x = 154
x = 154/56
x = 2.75
AB = 6x = 6(2.75) = 16.5 units
BC = 8x + 1/4 = 8(2.75) + 1/4 = 22.25 units.
Learn more about the segment addition postulate on:
brainly.com/question/2134445
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