Answer:
А.The system has two solutions, but only one is viable because the other results in a negative width.
Step-by-step explanation:
Given
Let:
length of play area A
width of play area A
length of play area B
width of play area B
Area of A
Area of B
From the question, we have the following:
The area of A is:
This gives:
Open bracket
The area of B is:
Substitute:
Open brackets
Expand
We have that:
This gives:
Collect like terms
Using quadratic calculator, we have:
or 
--- approximated
But the width can not be negative; So:
Answer:
The sum of f(2) and g(-3) is -7.
Step-by-step explanation:
f(x) = 3x - 2
f(2) = 3(2)-2
f(2) = 6 -2 = 4
g(x) = 4x + 1
g(-3) = 4(-3) +1
g(-3) = -12 + 1 = -11
f(2) + g(-3) = 4 + (-11)
f(2) + g(-3) = -7
|x|=absoulte value of x which means whatever x is, make it positive
so first solve any division/multiplication
the only one is 12/46=6/23
so we do the absoulte value signs
-3+45-(-14)
-(-14)=+14
-3+45+14=56
absoulute value of 56=56
56+(-|-87+6/23|)
-87+6/23=-86 and 17/23
absoulte value of -86 and 17/23=86 and 17/23
there is a negative sign in front of the absoulte vaulue so make it negative
56-86 and 17/23=-30 and 17/23 or about -30.73913
Answer:
P(t) = 14300e^0.07t
Step-by-step explanation:
Let :
Population as a function of years, t = P(t) ;
Growth rate, r = 7%
Estimated population on year 2000 = Initial population = 14300
The given scenario can be modeled using an exponential function as the change in population is based in a certain percentage increase per period.
P(t) = Initial population*e^rt
P(t) = 14300*e^(0.07t)
P(t) = 14300e^0.07t
Where, t = number of years after year 2000.
Answer:
No one will be able to tell you without the picture. If it is face the same direction, it is a translation. If it is a mirror image, it is a reflection. 90 degree rotation means it was turned once. 180 degree rotation means it was turned twice and should be in the diagonal quadrant the pre-image started in.
Step-by-step explanation:
