Answer:
a) Equation: 9x+9 = 72
b) x =7
Step-by-step explanation:
The total cost of 9 bracelets = $72
Shipping charge = $9
a) Define your variable and write an equation that models the cost of each bracelet.
Let x be the cost of one bracelet, the equation will be
9x + 9 = 72
As 9 bracelets were there and the shipping cost was 9 and total cost was 72.
b) Use the equation you have written above determine the cost for each bracelet. Show the algebraic steps that it takes to find the answer.
Now solving the equation to find the value of x that represent cost of each bracelet
9x + 9 = 72
Adding -9 on both sides
9x +9 -9 = 72 -9
9x = 63
Dividing both sides by 9
9x/9 = 63/9
x = 7
The value of x=7 so, the cost of each bracelet is $7
c) Provide your conclusion.
So, each bracelet was of cost $7 and $9 was the shipping charge. so, the total cost is $72.
We would check whether our equation is satisfied.
9x+ 9 = 72
9(7) + 9 = 72
63 + 9 = 72
72 = 72
The equation is satisfied.
Answer:
6
Step-by-step explanation:
One fourth is ÷4
24÷4=6
the area is 254.34 sq. ft.
Complete Question:
Convert 3x-y+2=0 in rectangle form to polar form
Answer:
r ( 3cosθ - sinθ) = -2
Step-by-step explanation:
The equation so given is already in rectangular form, the task is to convert it to polar form.
3x - y + 2 = 0
To transform an equation from the rectangular to the polar coordinate:
x = r cosθ
y = r sinθ
Substitute the representations for x and y into the given equation:
3(r cosθ) - (r sinθ) + 2 = 0
3rcosθ - rsinθ = -2
The polar representation of the equation then becomes:
r ( 3cosθ - sinθ) = -2
D is a function because there are no repeated x values
for example b is not a function because we have (0,-7) and (0,-9)