Answer:
Step-by-step explanation:
1)
Tri. prism:
B = base = 1/2 a c
base = 1/2 * 6 * 6 = 18
volume = Bh
v = 18*4
v = 72
Rec. prism
volume = 4*6*6
v = 144
total volume = 144+72
vt = 212
2)
top rec. = 2*3*5=30
bot rec. = 4*5*6=120
vt = 30 + 120
vt = 150
Log(2x*12)=3
10^3=2x*12
1000=24x
1000/24=x
x=41.667
2. means that for every x, there is eactly one y
basically, we can use the vertical line test to see if it crosses at any 2 points
first one works
2nd one works
3rd works
4th works
5th works
they are all one to one functions
3.
easy
steps
for f(x)=?
replace f(x) with y
switch x and y
solve for y
replace y with f⁻¹(x)
so

replace

switch

solve

![\sqrt[3]{x+2}=1+y](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%2B2%7D%3D1%2By)
![-1+\sqrt[3]{x+2}=](https://tex.z-dn.net/?f=-1%2B%5Csqrt%5B3%5D%7Bx%2B2%7D%3D)
replace
![f^{-1}(x)=-1+\sqrt[3]{x+2}](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29%3D-1%2B%5Csqrt%5B3%5D%7Bx%2B2%7D)
first option
4.
domain, hmm we can't divide by 0 so domain is all real numbers except for x=0
domain is

hmm, range
as x approaches negative or positive infinity, f(x)=5
as x approaches 0 from the left, f(x) appraoches negative infintiy
as x approaches 0 from the right , f(x) appraoches positive infintiy
so range is

domain is

range is

answer is the 4th option
Answer:
Step-by-step explanation:
12.
(A). AB = √34 units
(B). Area of triangle is 7.5 units²
Perimeter of triangle is (√34 + 8) units
(C). ΔA'BC is reflection of ΔABC over y = 2
(D). ΔA'BC is right angled. ΔABA' is isosceles.
Answer:
$11.25
Step-by-step explanation:
55.50 divided by 6 = 9.25
9.25 + 2 = 11.25