Answer:
35x+15y is less than or equal to 100.
Step-by-step explanation:
35 per Jean + 15 per shirt is less than or equal to 100
If the growth rate is a constant, we can model it using a linear equation:
y = b + ax
where b = initial value, a = growth rate.
In this case, x = m = number of months.
Let's find the equation for the growth of each species.
Species A:
Initial height = b = 25 cm
Growth rate = a = 3 cm per month
So its height can be modeled by H(m) = 25 + 3m
Species B:
Initial height = b = 10 cm
Growth rate = a = 8 cm per month
So its height can be modeled by H(m) = 10 + 8m
Thus the answer is A: H(m) = 25 + 3m and B: H(m) = 10 + 8m.
Answer:
x = 2000 cameras
Step-by-step explanation:
C(x) Total cost in producing x units
C- = C(x) /x Average cost of producing x units x > 0
Cannon Precision Instrument
C (x) Total monthly cost for producing x units of M1 cameras
is C(x) = 0.0025x² + 80x + 10000
Then average cost of producing x cameras M1 is
C-(x) = ( 0.0025x² + 80x + 10000) /x
C-(x) = 0.0025x + 80 + 10000/x
Taking derivatives on both sides of the equation
C-´(x) = 0.0025 - 10000/x²
Then
C-´(x) = 0
( 0.0025x² - 10000 ) / x² = 0
0.0025x² - 10000 = 0
x² = 10000 /0.0025 x² = 4000000
x = 2000 cameras
<span>sin can be positive in 1st and 2nd quadrants.
cos can be negative in 2nd and 3rd quadrants.</span>
Answer:
Correct answer: Third answer aₙ = -5 · 2⁽ⁿ ⁻ ¹⁾
Step-by-step explanation:
Given:
-5, -10, -20, -40,.....
First term a₁ = -5
Second term a₂ = -10
Third term a₃ = -20
Common ratio or quotient
q = a₂ / a₁ = a₃ / a₂ = -10 / -5 = -20 / -10 = 2
q = 2
First term a₁
Second term a₂ = a₁ · q = a₂ · q²
Third term a₃ = a₂ · q = a₁ · q³
.....................................................
n-th term aₙ = a₁ · q⁽ⁿ ⁻ ¹⁾
aₙ = -5 · 2⁽ⁿ ⁻ ¹⁾
God is with you!!!
