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)
Thirty three because I'm just smart like that so you should believe me entirely.
Answer:
880
Step-by-step explanation:
This problem a bit annoying, but let's classify the numbers and see where we can get from there:
Total = 10,000
Young = 3,000
Old = 7,000 (not young defined as 10,000 - 3,000)
Male = 4,600
Female = 5,400
Married = 7,000
Single = 3,000
Young Males = 1,320
Young Females = 3,000 (young) - 1,320 = 1,680
Married Males = 3,010
Married Females = 7,000 - 3,010 = 2,990
Young Married = 1,400
Young Married Males = 600
Young Married Females = 1,400 - 600 = 800
Young Female Single = ?
Young Female = 1,680 from above. But not all of them are single.
Young Married Females = 800 from above
Young Female Single = Young Female - Young Married Females = 1,680 - 800 = 880
Complete question:
A circle with radius 3 has a sector with a central angle of 1/9 pi radians
what is the area of the sector?
Answer:
The area of the sector = 
square units
Step-by-step explanation:
To find the area of the sector of a circle, let's use the formula:
Where, A = area
r = radius = 3
Substituting values in the formula, we have:
The area of the sector = square units
Answer:
(-infinity, infinity) or all real numbers
Step-by-step explanation:
