Answer:
y = 6x - 11
Step-by-step explanation:
An arithmetic sequence is a linear function. This means it steadily increases or decreases through addition/subtraction by a constant amount. Here the sequence grows by adding 6 each time.
-11 + 6 = -5
-5 + 6 = 1
1 + 6 = 7
etc....
Since this is linear, its equation has the form y = mx + b where m is the slope and b is the y-intercept. The slope is m = 6 and b = -11.
y = 6x - 11
Answer:
The expression for the total cost of the visit to dentist is T = 50 + 100n .
Step-by-step explanation:
As given
The price of a visit to the dentist is $50.
If the dentist fills any cavities, an additional charge of $100 per cavity gets added to the bill.
If the dentist n cavities .
Let us assume that the total cost of the visit to dentist be T.
Than the expression becomes
T = 50 + 100n
Therefore the expression for the total cost of the visit to dentist is T = 50 + 100n .
Answer: 5.196152423
Step-by-step explanation: Logically considering it's a Rhombus all the sides are equal to each other. So you just need to find the area. In this case you find the area by multiplying the sin of the given angle by the square root of the given side. So, 6²×sin (60)=6²×√3/2=31.17691454. After finding the area you then have to divide the area by it's base to find the height. So, 31.17691454 ÷ 6 = 5.196152423.
I didn't round any of the numbers. Hopefully this is correct.
Sorry about the messy diagrams (never been good at creating them) and how long it took.
Answer:
24 oz has the lowest cost per ounce.
Step-by-step explanation:
12 oz ---> $2.49
1 oz --> $2.49/12
1 oz --> $0.2075
14 oz --> $3.15
1 oz --> $3.15/14
1 oz --> $0.225
20 oz --> $5
1 oz --> $5/20
1 oz --> $0.25
24 oz --> $4.56
1 oz --> $4.56/24
1 oz --> $0.19 ..........this is the lowest cost per ounce
36 oz --> $7.2
1 oz --> $7.2/36
1 oz --> $0.2