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.
Answer:
h=2a over b
Step-by-step explanation:
There are 10 mm in 1 cm, so 180 mm is really just 18cm and 60 mm is just 6cm.
so how much area each box's base takes up? 18x6 centimeters, or 108cm.
the shelf is a 65x35 so is 2275 centimeters in available area.
how many times does 108 go into 2275? well, 2275/108, that many would fit in the shelf
Answer: C
Step-by-step explanation: For a function, each x-coordinate corresponds to exactly one y-coordinate.
To determine whether the graph shown here
is a function, we can use the vertical line test.
The vertical line test tells us that if each x-coordinate on the graph corresponds to exactly one y-coordinate, then any vertical line that we draw on the graph should hit the graph at only one point.
For the graph show here, any vertical line that you draw with hit the graph at only one point which means it does pass the vertical line test.
So this graph is a <em>function</em>.
Answer:
B, D
Step-by-step explanation:
Any inequality that does not include the "or equal to" case will be graphed with a dashed line.
<h3>Application</h3>
The "or equal to" case is included when the inequality symbol is one of ≤ or ≥. When symbols > or < are used, the boundary line of the solution space is dashed (or the end point on the number line is an open circle).
The inequalities that will be graphed with a dashed line are ...
- 2x -4y < 12 . . . . choice B
- x +7 > -1 . . . . . . .choice D