Answer:
See the explanation.
Step-by-step explanation:
We are given the function f(x) = x² + 2x - 5
Zeros :
If f(x) = 0 i.e. x² + 2x - 5 = 0
The left hand side can not be factorized. Hence, use Sridhar Acharya formula and
and
⇒ x = -3.45 and 1.45
Y- intercept :
Putting x = 0, we get, f(x) = - 5, Hence, y-intercept is -5.
Maximum point :
Not defined
Minimum point:
The equation can be expressed as (x + 1)² = (y + 5)
This is an equation of parabola having the vertex at (-1,-5) and axis parallel to + y-axis
Therefore, the minimum point is (-1,-5)
Domain :
x can be any real number
Range:
f(x) ≥ - 6
Interval of increase:
Since this is a parabola having the vertex at (-1,-5) and axis parallel to + y-axis.
Therefore, interval of increase is +∞ > x > -1
Interval of decrease:
-∞ < x < -1
End behavior :
So, as x tends to +∞ , then f(x) tends to +∞
And as x tends to -∞, then f(x) tends to +∞. (Answer)
Answer:
Average: 26.223529411764706 (Please round to the place value necessary since it does not say in the question.)
Step-by-step explanation:
We first find the number of items sold: 170
Then we find the total cost: 4458
We then divide 4458 by 170
We end up with the answer 26.223529411764706. (Please round to the place value necessary since it does not say in the question.)
Answer:
y=-14x+63
Step-by-step explanation:
this is the most simplified equation
Answer:
The table represents a function because each input corresponds to exactly one output.
Step-by-step explanation:
A table can be regarded as representing a function if and only if every input can only be mapped to exactly one output. In other words, it means, only 1 exact output can be assigned to an input. In a table of function, an input cannot have two different outputs. Although, two different inputs can be assigned to the same output.
From the table given, we see that every input has exactly one output. Although, we have different inputs that gives the same output.
Therefore, we can conclude that the table represents a function because each input corresponds to exactly one output.
Total number of sections on the spinner = 4
So there can be 4 outcomes on 1 spin of the arrow on the arrow.
Number of faces of the cube = 6
So there can be 6 outcomes on rolling of the dice.
For each outcome of the spinner, there can be 6 outcomes of rolling a dice. So for 4 outcomes of the spinner, there will be 6 x 4 = 24 outcomes in total.
For example, WW and either of {1,2,3,4,5,6} can occur. This makes folloiwng 6 outcomes: WW1, WW2, WW3, WW4, WW5 and WW6
Same goes for XX (6 outcomes), YY (6 outcomes) and ZZ (6 outcomes)
Thus in total there will be 24 outcomes.
So option j gives the correct answer
