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:
m<1= 120
Step-by-step explanation:
1. we know supplementary angles equals 180. the angle 130 is part of a supplementary angle so we can subtract it by 180 to see that missing angle.
2. we also know that all triangles three angles add up to 180. So if we add the number we know 70+50 (50 is from subtracting 130 from 180), Once we find that answer, we subtract it from 180 to find angle 2 which is 60 degrees
3. Last step, angle 2 is part os a supplementary angle in which the two angles add up to 180. So, subtracting 60 from 180 will get you the degree of the angel one which his 120 degrees.
Hey there! I'm happy to help!
Let's have the capacity be c. The tank is currently at 4/5c. We subtract 190 and then we are at 1/6c. Let's set this up as an equation and solve it.
4/5c-190=1/6c
We want to get the c all by itself to see the capacity of the tank. Let's get all of the c values on the left side of the equation and the numbers on the right by using inverse operations.
4/5c-190=1/6c
Add 190 to both sides.
4/5c=1/6+190
Subtract 1/6 from both sides.
19/30c=190
Divide both sides by 19/30.
c=300
So, the capacity of the tank is 300 liters of water.
Have a wonderful day and keep on learning! :D
Answer:
Step-by-step explanation:
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