1) Taking in account that the function is f(x)= -(2/3) |x+4|-6, I enclose a file with the graph.
That helps you to conclude:
a) The graph of f(x) has a vertex on (-4, -6)
b) When you multiply a function times 2/3 it is vertically compressed which is equivalent to horizontally streched.
c) The graph of f(x) opens downward
d) The domain of f(x) is all the real values (the absolute function accepts any value of x either positive or negative)
Answer: the graph of f(x) is horizontally stretched.
1.7 a+ 0.3a =45
2a =45
a = 45/ 2
a= 27.5
???
Answer:
system of equations are


Step-by-step explanation:
Let x = number of children's books sold,
and let y = the number of adult books sold
The library sells 376 books at its annual used-book sale
so, we get equation as

Children's books cost $4
So, total cost of children book is 4x
adult books cost $7
So, total cost of adult book is 7y
so, we get total cost is 4x+7y
he sale takes in a total of $2119
so, we get equation as

so,
system of equations are


Can of baked beans = x
packet of brown sugar = y
packet of biscuit = z
5x + 4y + 2z = 150 - 26 ⇒ 5x + 4y + 2z = 124 is the total cost of all items.
can of baked beans = x = 1/2 of z
packet of sugar = y = z - 3
5(z/2) + 4(z-3) + 2z = 124
5z/2 + 4z - 12 + 2z = 124
5z/2 + 6z = 124 + 12
2(5z/2 + 6z) = 2(136)
5z + 12z = 272
17z = 272
z = 16 cost of a packet of biscuit.
x = 1/2 of z = 16/2 = 8 cost of a can of baked beans
y = z - 3 = 16 - 3 = 13 cost of a packet of sugar
5x + 4y + 2z = 124
5(8) + 4(13) + 2(16) = 124
40 + 52 + 32 = 124
124 = 124
8(8) + 1(13) + 6(16) = 64 + 13 + 96 = 173 total cost on question 3.