Answer:
36.45
Step-by-step explanation:
tan 32 = a/35
x = 23.1
tan 70 = b/23.1
y = 28.2
x^2 = a^2+b^2
= 23 .1^2 + 28.2^2
= 36.45
Benefit she gets monthly is = 42.25-12.5= 29.75
annual value to Tamsen of this benefit= 12×29.75 = 357$
ANSWER
No solution
EXPLANATION
The first equation is
and the second equation is
We equate the two equations to obtain;
This implies that
There is no real number whose square is -1.
Therefore, the equation has no solution.
Answer:
f(x)=(x-1)^2+5 with domain x>1 and range y>5 has inverse g(x)=sqrt(x-5)+1 with domain x>5 and range y>1.
Step-by-step explanation:
The function is a parabola when graphed. It is in vertex form f(x)=a(x-h)^2+k where (h,k) is vertex and a tells us if it's reflected or not or if it's stretched. The thing we need to notice is the vertex because if we cut the graph with a vertical line here the curve will be one to one. So the vertex is (1,5). Let's restrict the domain so x >1.
* if x>1, then x-1>0.
* Also since the parabola opens up, then y>5.
So let's solve y=(x-1)^2+5 for x.
Subtract 5 on both sides:
y-5=(x-1)^2
Take square root of both sides:
Plus/minus sqrt(y-5)=x-1
We want x-1>0:
Sqrt(y-5)=x-1
Add 1 on both sides:
Sqrt(y-5)+1=x
Swap x and y:
Sqrt(x-5)+1=y
x>5
y>1
To simplify x^2-3 =5x
You would first subtract 5x from both sides
X^3-5x-3
Next you would plug this into the quadratic equation:
X=5+/- the square root of: -5^2 -4(1)(-3)/2(1)
Then simplify,
5+/- the squareroot of 24 + 12 / 2
5+/- The squareroot of 36 /2
5+/- 6 / 2
Then solve if it’s an addition or subtract
5+6/2
X=11/2 or 5 1/2
5-6/2
X= -1/2
The answer is x=-1/2 or x=11/2
Hope this helps
