The correct answer is intersection point
When you find the solution, you actually find where the two lines cross on the coordinate system. It is the single point that works in all equations.
Answer:
-5
Step-by-step explanation:
y intercept occurs when x = 0
f(0) = -4(0)² + 2(0) - 5
f(0) = - 5
log₉(<em>x</em> - 7) + log₉(<em>x</em> - 7) = 1
2 log₉(<em>x</em> - 7) = 1
log₉(<em>x</em> - 7) = 1/2
Take the base-9 antilogarithm of both sides; in other words, make both sides powers of 9:
can also be written as √9 = 3, and 
, so the equation reduces to
<em>x</em> - 7 = 3
Solve for <em>x</em> :
<em>x</em> = 10
Answer:
-x+6
Step-by-step explanation:
if f(x) = x^2-2x-24 and g(x) = x^2-x-30, find (f-g)(x).
Do to this, you have to subtract equation g from equation f.
If you write it down and subtract them, your x^2 will cancel out and you will be left with -2x - (-x) and -24 - (-30). This will leave you with -x +6
You know from the definitions of trig functions that
.. tan(42°) = (height of courthouse above measuring device)/(distance to courthouse)
.. (height of courthouse above measuring device) = tan(42°)*(305 ft) ≈ 274.6 ft
Since the measuring device is 5 ft high, the height of the courthouse is approximately 280 ft. (selection C)
