Answer:
*It gains weight as it grows, and is 35 pounds when it is 1 year old.
*Then the dog stays the same weight for the rest of its life.
*It lives to be 15 years old.
What is the domain of the function representing the weight, in pounds, of the dog in terms of its age in
years?
A. 0 to 1 year
B. 0 to 15 years
C. O to 35 pounds
D. 0.5 to 35 pounds
Answer:
y = lnx/ln12
Step-by-step explanation:
Given the function y = 12^x, to find the inverse of the function, we news to write x as a function of y as shown:
Given y = 12^x
Taking ln of both sides
ln y = ln 12^x
ln y = xln12
Divide both sides by ln12
lny/ln12 = xln12/ln12
x = lny/ln12
x = ln(y-12)
Replacing y with x and x with y
The inverse of the function will be:
y = lnx/ln12
sin(x) = 2cos(x)
tan(x) = 2
tan⁻¹[tan(x)] = tan⁻¹(2)
x ≈ 63.4
sin(2x) = sin[2(63.4)]
sin(2x) = sin(126.8)
sin(2x) ≈ 0.801
Answer:
(2,-1)
y= -1
x= 2
Step-by-step explanation:
y= -2x+3
4x-3y=11
substitute the value of y into an equation
4x-3(-2x+3)=11
distribute by multiplying numbers in parenthesis by -3
4x+6x-9=11
add 4x to 6x
10x-9=11
add 9 from both sides
10x=20
divide both sides by 10
x=2
substitute the value of x into an equation
y= -2•2+3
multiply -2 to 2
y= -4+3
add -4 to 3 but 4 is negative, so subtract
y= -1
-----------
(2,-1)
-----------
Answer:
6097
Step-by-step explanation:
6,250 + 3.75% =
6,484.375
6,484.375 - 6,250 =
234
1,000,000 - 6,250 =
993,750
993,750 / 234 =
4,247
1890 + 4,247 =
6097
