Answer:
There are no extraneous solutions
Reasoning:
An extraneous solution is a solution that isn't valid, it might be imaginary like the square root of a negative number.
first we want to isolate z:
1+sqrt(z)=sqrt(z+5)
^2 all ^2 all
(1+sqrt(z))(1+sqrt(z))=z+5
expand
1+2sqrt(z)+z=z+5
-1 -z -z -1
2sqrt(z)=4
/2 /2
sqrt(z)=2
^2 all ^2 all
z=4
Since there is one solution and it is a real number, there are no extraneous solutions.
f(5) = 3 means (5,3) is on the graph of f.
On the new graph, y = f(x+1) + 2, what do the +1 and +2 do?
Things inside the function notation inpact the x-values, since that's where x sits.
This outside the f(x) notation impact the y-values, since those are done after you've evaluated the function.
"+1" on the inside shifts every point to the left 1 unit. (Inside changes are almost always opposite from what it looks like it would do.)
"+2" on the outside will shift every point up by 2 units.
So what do you get if you take (5,3) and shift it left 1 and up 2?
Answer:
y=-3x+6
Step-by-step explanation:
The volume of water that the rectangular prism will hold when it is full is: 874.35 ft³.
<h3>What is the Volume of Rectangular Prism?</h3>
Volume = length × width × height
Given:
- Length = 13.4 ft
- Width = 8.7 ft
- Height = 7.5 ft
Thus:
Volume of water = 13.4 × 8.7 × 7.5
Volume of water = 874.35 ft³
Thus, the volume of water that the rectangular prism will hold when it is full is: 874.35 ft³.
Learn more about volume of rectangular prism on:
brainly.com/question/12917973
