Answer:
1. t > -6 (Graph A)
2. x ≤ −80 (Graph B)
3. b < 13 (Graph C)
Step-by-step explanation:
<u>1. t < 5t + 24</u>
t − 5t < 5t + 24 − 5t
−4t < 24
−4t/−4 < 24/−4
t > −6
<u>2. 5x−9≤4.1x−81</u>
5x - 9 - 4.1x ≤ 4.1x - 81 - 4.1x
0/9x - 9 ≤ -81
0.9x - 9 +9 ≤ -81 + 9
0.9x ≤ -72
0.9/0.9 ≤ -72/-72
x ≤ -80
<u>3. 4b+4(1-b)>b-9</u>
so so and on
Solution
Step 1
f(-2) is the value of f(x) at which x = -2
Next
Trace x =-2 from the graph and get f(-2)
Answer:
The total weight = 1286 × 62.4 = 80246 pounds.
Step-by-step explanation:
The formula of the volume of the sphere is
V = 4/3×π×r³
Given
d = 17 feet
d = 2r
r = d/2 = 17/2 = 8.5 feet
V = 4/3×π×r³
Since we need half of the volume as it is a hemispherical tank.
= 1286 ft³
Given that the weighs 62.4 pounds per cubic foot
Thus, the total weight = 1286 × 62.4 = 80246 pounds.
The correct answer would be 770! Hope This helped!
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9514 1404 393
Answer:
- parallel: y = x -1
- perpendicular: y = -x -3
Step-by-step explanation:
The given line has a rise of 1 for each run of 1, so a slope of 1. If you draw a line with a slope of 1 through the given point, you can see that it intersects the y-axis at y = -1. Then the slope-intercept equation is ...
y = x -1 . . . . . equation of parallel line
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The perpendicular line will have a slope that is the opposite reciprocal of the slope of the given line: m = -1/1 = -1
A point that is 1 unit right and 1 unit down from the given point is -3 on the y-axis. This is the y-intercept of the perpendicular line. The equation is ...
y = -x -3 . . . . . equation of perpendicular line