Answer:
0.67
Step-by-step explanation:
Formula: k = y/x
k = 2/3
k = 0.66666666666
k = 4/6
k= 0.66666666666
k = 6/9
k = 0.66666666666
k = 8/12
Round 0.67
Hence, answer = 0.67
[RevyBreeze]
Answer:
y=29
Step-by-step explanation:
Since the angles are across a vertex from one another, they are congruent and equal. You can also see this by reflecting or folding it in half through the vertex. They will be the same. This means we can write the following equation and solve using inverse operations:
4y-8=79+y
4y-y-8=79+y-y
3y-8=79
3y-8+8=79+8
3y=87
y=29
Answer: a=4, b=-8, c=-3
Step-by-step explanation: This equation isn't in standard form. To get it there, subtract -3 from both sides. This gets you an equation of 4x^2-8x-3.
The standard form is ax^2+bx+c.
A is the number before x^2 (4). B is the number before x, and since it's subtracted it's negative (-8). C is the last number, and since it's subtracted it's negative (-3).
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
