Hello and Good Morning/Afternoon:
<u>Let's take this problem step-by-step</u>:
<u>Let's define some terms</u>:
- Domain: the set of inputs in the function (<em>in this case, it is x)</em>
- Range: the set of all of the possible outputs (in this case, it is y)
<u>Let's find the domain:</u>
For log(x),
⇒ the only inputs that are accepted are nonnegative and nonzero
⇒ therefore: Domain is (0, ∞)
<u>Now let's find out the range</u>:
The biggest constraint of the output is log(x)
⇒ however log(x) has a range of (-∞,∞)
⇒ therefore the entire equation's range is
(-∞,∞)
<u>Answer:</u>
- <u>Domain: (0,∞)</u>
- <u>Range: (-∞,∞)</u>
Hope that helps!
#LearnwithBrainly
Answer:
g=4
Step-by-step explanation:
-6g + 36 = 12
-36 = -36
-6g = -24
------ -------
-6 -6
g=4
Answer:
roots at (-2,0) and (2,0)
vertex (maximum) at (0,4)
Step-by-step explanation:
If g=4/5, the answer would be B: y= (4/5)x-6
Cylinder Volume = <span><span>¼ • </span><span>π • d² • height</span></span>
<span>
12,464.27 = .25 * PI * 23^2 * height
height = </span><span>12,464.27 /</span><span> .25 * PI * 23^2 </span>
height = 12,464.27 /<span> .25 * PI * 529
</span>height = 12,464.27 / <span><span><span>415.4756284373
</span>
</span>
</span>
<span>
</span><span>height = 30 mm
The vertical cross-section would be 23 mm * 30 mm =
690 SQUARE millimeters (NOT cubed as the answer says).
answer is C
</span>
