To find equivalent inequalities you have to work the inequality given.
The first step is transpose on of sides to have an expression in one side and zero in the other side:
x - 6 x + 7
--------- ≥ --------
x + 5 x + 3
=>
x - 6 x + 7
--------- - -------- ≥ 0
x + 5 x + 3
=>
(x - 6) (x + 3) - (x + 7) (x + 5)
--------------------------------------- ≥ 0
(x + 5) (x + 3)
=>
x^2 - 3x - 18 - x^2 - 12x - 35
--------------------------------------- ≥ 0
(x + 5) (x + 3)
15x + 53
- ------------------- ≥ 0
(x + 5) (x + 3)
That is an equivalent inequality. Sure you can arrange it to find many other equivalent inequalities. That is why you should include the list of choices. Anyway from this point it should be pretty straigth to arrange the terms until making the equivalent as per the options.
I don't think there is one. A triangular pyramid has 4 faces and 4 vertices, and a <em>square pyramid</em> has 4 faces and 5 vertices;
Answer:
The range would not change
Step-by-step explanation:
If we replaced one of the 7s with a 5, we still have a 7. The range will be the highest number minus the lowest number (7 - 1 = 6). So the range would still not change because we still have another 7.
Answer:
[C] 0.40625
Explanation:
To turn a fraction into a decimal, divide the numerator by the denominator.
13 ÷ 32 = 0.40625
- Your answer is [C] 0.40625
Answer:
c
Step-by-step explanation:
A relation between two sets is a collection of ordered pairs containing one object from each set. If the object x is from the first set and the object y is from the second set, then the objects are said to be related if the ordered pair (x,y) is in the relation.
A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
The graph represents the relation, but not a function.
This is relation, because it defines the rule for each some such, that the ordered pair (x,y) lies on the graph.
This is not a function, because for all input values of x (excluding x=3) we can find two different output values of y.