Answer: x = 2
Step-by-step explanation:
<em>first, we remove the parentheses. </em>
10 - 54 - 24x = 10x - 120 + 8
<em>then, we just calculate that out.</em>
-44 - 24x = 10x - 112
<em>next, we move the terms.</em>
-24x - 10x = -112 + 44
<em>then, we collect the like terms and calculate it.</em>
-34x = -68
<em>finally, we divide both sides.</em>
x = 2
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:


Step-by-step explanation:
Required
Find m and n
Considering the given angle, we have:

This gives:

Make m ths subject


So, we have:


Considering the given angle again, we have:

This gives:

Make n the subject


So, we have:


3*7-6
21-6=15
15 is the answer