The area is 2250 square feet.
Answer:
<u>6 kg</u>
Step-by-step explanation:
J = mass of nuts gathered by James
H = mass of nuts gathered by Harry
J = 12 + H
J = 3H
3H = 12 + H
3H - H = 12 + H - H
2H = 12
H = 6 kg
J = 18 kg
Answer:
A
Step-by-step explanation:
We want to solve the equation:

To do so, we can rewrite the equation.
Recall the double-angle for sine:

By substitution:

Distribute:

We can subtract 3cos(x) from both sides:

And factor:

Hence, our answer is A.
*It is important to note that we should not divide both sides by cos(x) to acquire 10sin(x) = 3. This is because we need to find the values of x, and one or more may result in cos(x) = 0, and we cannot divide by 0. Hence, we should subtract and then factor.
Y=-x^2 is non linear due to the x being squared
Answer:
a) y = 9.95(x-3) + 20.00
b) Cost of 5 software packages = $39.90
Step-by-step explanation:
Given that:
Cost of 3 software at sale = $20
Cost of regular = $9.95
Let,
x be the number of software purchased.
We will subtract 3 from x because they cost $20.
y be the total cost.
y = 9.95(x-3)+ 20.00
Putting x=5 in expression
y = 9.95(5-3) + 20.00
y = 2(9.95) + 20.00
y = 19.90 + 20.00
y = $39.90
Hence,
a) y = 9.95(x-3) + 20.00
b) Cost of 5 software packages = $39.90