Answer:
B
Step-by-step explanation:
A tesselation uses 1 shape to create an image by translating it or reflecting it. The shape is translated in this scenario so they are congruent from a translation (they are in the sam orientation unlike reflections)
The general form of a quadratic equation is that which is expressed in a form,
ax² + bx + c = 0
To write the equation in its general form, eliminate the decimal by multiplying the equation by 10. It now becomes,
3x² + 50x - 70 = 0
The value of b is therefore 50 and the answer is the second choice.
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
9514 1404 393
Answer:
C ≈ 0.00106455765168
Step-by-step explanation:
This is the sum of 13 terms of the geometric series that has 10000C/1.05 as the first term and a common ratio of 1/1.05. The sum S is given by ...
S = a1(1 -r^n)/(1 -r) . . . . a1 is the first term, r is the common ratio
Using the known values, we have ...
100 = (10000C/1.05)(1 -1.05^-13)/(1 -1/1.05))
0.01 = C(1 -1.05^-13)/0.05
C = 0.0005/(1 -1.05^-13) ≈ 0.0005/0.469679
C ≈ 0.00106455765168
