14a. C = 0.09(m - 25) + 50
C = 0.09(80 - 25) + 50
C = 0.09(55) + 50
C = 4.95 + 50
C = 54.95
14b. C = 0.09(m - 25) + 50
85 = 0.09(m - 25) + 50
- 50 - 50
35 = 0.09(m - 25)
0.09 0.09
388⁸/₉ = m - 25
+ 25 + 25
413⁸/₉ = m
14c. The input values that are below 25 does make any sense because it shows that the input values can make the output values decrease itself.
Answer: One solution
Explanation:
Because the two equation has a different slope and different y intercept
F(x) = y = x+3, Consider y=x+3. You just switch x and y:
so y= x+3, becomes x=y+3. Once done, you isolate y:
x=y+3 or y = x-3. This this the inverse function of f(x)
Answer:
Below in bold.
Step-by-step explanation:
(a) Volume = volume of the cylinder + volume of hemisphere
= pi r^2 h + 1/2 * 4/3 pi r^3
= pi 2^2 3 + 2/3 pi 2^3
= 12pi + 16pi/3
= 52pi/3
= 52pi/3 in^3
= 54.45 in^3 to nearest hundredth.
(b) Surface area = area of base + area of curved part + area of the hemisphere
= pi 2^2 + 3 * 2pi 2 + 2 pi 2^2
= 4pi + 8 pi + 12pi
= 24pi in^2
= 75.40 to nearest hundredth.
Answer:
Option B
Step-by-step explanation:
In Option A, the triangle is first reflected across m and then reflected across the vertical line. Then, it is dilated.
In Option C, the triangle is reflected across m but the angles are not preserved.
In Option B, the triangle is reflected across m and then dilated.
Hence, this is the correct image similar to the original triangle.