Answer:
false.
Step-by-step explanation:
Given the function g(x) = f(x − k), can be sketched f(x) shifted k units horizontally. if k is negative, the function is shifted k units to the left.
Given the function g(x) = f(x) + k, we can say that the function is translated vertically upwards k times. If k is negative, the function is translated vertically downwards k times.
In this case, the function is translated two units to the right and 3 units down because the number "-3" is negative.
So it's false. The graph is translated three units downwards and 2 units to the right.
Answer:
They will get both get $280 if they work for 20 hrs.
Step-by-step explanation:
1) In order to solve the problem, we can use a system of equations
2)Aaliyah's salary equation: y=13x+20
Finn's salary equation: y=12x+40
3) Using the equal values method, we now know that 12x+40=13x+20
4) when you solve the equation, x=20.
5) Substitute 20 for x.
y=12X20+40
y=280
the height can be given as
AB = a sin theta
here a = 4 and theta is 60 so
AB = 4 sin 60 = 4 × √3/2 = 2√3
so area of a parallelogram is
= base × height
= 7 × 2√3 = 14√3
