Answer:
f(-2) = 2
f(0) = 3
f (4) = -1
Step-by-step explanation:
The equation of the straight line passing through the points (0,3) and (-4,1) is
⇒ 2(y - 1) = x + 4
⇒ 2y - 2 = x + 4
⇒ 2y = x + 6
⇒
Again, the equation of the line passing through the points (0,1) and (4,-1) is
⇒ - 2 ( y + 1) = x - 4
⇒ - 2y = x - 2
⇒
Therefore, the function is defined as
for x ≤ 0 ........... (1) and
for x > 0 ............ (2)
Therefore, f(-2) = 2 from equation (1).
f(0) = 3 from equation (1)
And f (4) = -1 from equation (2). (Answer)
Answer:
a) T(r) = r.D(r)
b) 975 people per square mile.
Step-by-step explanation:
(a)
The units of D(r) are

when multiplying the density by the area we get the amount of people in that area, so

(b)
The average rate of change of T(r) over the interval [5,7] is

but D(7) = 350 and D(5) = 100, so

and the average rate of change of T(r) over the interval [5,7] is 975 people per square mile.
Answer:
The answer is C.
Step-by-step explanation:
You only need the answer.
Sin(19)
Use your calculator.
sin(19) = 0.3255681545
Answer:
We need 5 bags of Vigoro Ultra Turf and 4 bags of Parkers Premium fertilizer.
Step-by-step explanation:
Let's first list the percentage compositions of each fertilizer type:
<u>Vigoro Ultra Turf:</u>
Nitrogen (N) = 29 kg
Phosphoric Acid (P2O5) = 3 kg
Potash (K2O) = 4 kg
<u>Parkers Premium</u>
Nitrogen (N) = 18 kg
Phosphoric Acid (P2O5) = 25 kg
Potash (K2O) = 6 kg
We can set up simultaneous equations to find out the amount of 100 kg bags of each fertilizer needed:
x = Vigoro Ultra turf (one bag)
y = Parkers Premium (one bag)
29x + 18y = 217 -Equation 1
3x + 25y = 115 -Equation 2
4x + 6y = 44 -Equation 3
Solving for x and y, we get:
x = 5
y = 4
This means we need 5 bags of Vigoro Ultra Turf and 4 bags of Parkers Premium fertilizer.