Answer:
1. x=3 x=1
2. x=0
Step-by-step explanation:
We want f(x) to equal g(x)
f(x)=g(x)
1/(x-2) = (x-2)
Using cross products
1 = (x-2) * (x-2)
1 = x^2 -2x-2x+4
Subtract 1 from each side
1-1 = ^2 -2x-2x+4-1
0 = x^2 -4x+3
Factoring
What number multiplies to 3 and adds to -4
-3*-1 = 3
-3+-1 = -4
0= (x-3) (x-1)
Using the zero product property
x-3 =0 x-1=0
x=3 x=1
2. f(x)=x^2+4x+2
g(x)=(1/2)^ x+1
From the graph,we can see they intersect at x=0
Answer:
950.455in^3
Step-by-step explanation:
Given data
Circumference= 11π
Also, the expression for circumference is
C=2πr
11π=2πr
solve for r
r= 11π/2π
r= 5.5in
Given that the Height h= 10in
The expression for the volume is
V= πr^2h
V=3.142*5.5^2*10
V=3.142*30.25*10
V=950.455 in^3
Hence the volume is
950.455in^3
Answer:
kitty girl what's wrong
Step-by-step explanation:
<h2>D. This is an experiment with blocking </h2><h2 />
For your question: "A teacher wants to investigate whether listening to music while taking a math test increases scores. He instructs half
of his 36 students to listen to music while taking a test and the other half to not listen to music during the test. To
determine who listens and who does not, the teacher identifies the two students who scored highest on the last test
and randomly instructs one to listen to music and one to not. The teacher does the same for the next two highest-
scoring students and continues in this manner until each student has their instructions. Which of the following best
describes this plan?"
The answer is D