Answer:
Step-by-step explanation:
y - y₁ = m ( x - x₁)
y - 5 = - 3 (x - 12)
y - 5 = -3x + 36
3x + y = 36 + 5
3x + y = 41
y = -3x + 41
Step-by-step explanation:
Answer:
(-2, 5)
Step-by-step explanation:
I will assume that your system is
y = -4x - 3
y = -2x + 1
Multiplying the second equation by -2 results in
y = -4x - 3
-2y = 4x - 2
combining these two equations eliminates x temporarily:
-y = -5, so that y must be 5.
Substituting 5 for y in the second equation, we get:
5 = -2x + 1, or
4 = -2x, which results in x = -2
and so the solution is (-2, 5)
Answer:
The total amount that the consumer had to pay for both products was $ 94.50.
Step-by-step explanation:
Given that Mal sold a large photo for $ 50 and a large frame for $ 40, and that the sales tax for these products is 5%, to determine the total amount that the consumer had to pay to purchase these products arises from the following calculation:
(50 + 40) x 1.05 = X
90 x 1.05 = X
94.5 = X
Therefore, the total amount that the consumer had to pay for both products was $ 94.50.
Answer:
A) 4π
Step-by-step explanation:
The period of a secant function, f(x)=a*sec(bx+c)+d, is defined as 2π/|b| where b is the distance of the period. Since we know b=1/2 given by the function, then the period is 2π/|1/2|=2π/(1/2)=2π(2/1)=4π.
