Answer:
radius = 12.3 cm
Step-by-step explanation:
The formula to find the circumference of a circle:
Circumference = 2 × π × r
77 = 2 × π × r
r = ![\frac{77}{2*\pi }](https://tex.z-dn.net/?f=%5Cfrac%7B77%7D%7B2%2A%5Cpi%20%7D%20)
r = 12.3 cm (in 3 significant figures)
Answer:
4a - 3
Step-by-step explanation:
"four times a" = 4 * a = 4a
"3 less than" = -3
Combine the terms: 4a - 3
~
Answer:
25%
Step-by-step explanation:
![6 \times 6 = 36 \\ 3 \times 3 = 9 \\ \frac{9}{36} = \frac{25}{100}](https://tex.z-dn.net/?f=6%20%5Ctimes%206%20%3D%2036%20%5C%5C%203%20%5Ctimes%203%20%3D%209%20%5C%5C%20%20%5Cfrac%7B9%7D%7B36%7D%20%3D%20%20%5Cfrac%7B25%7D%7B100%7D%20%20)
Answer:
1. The supply equation is y=10x-50
2. the demand equation is y=-10x+700
3. The solution for the system of equations is (75/2,325). This means That the demand and supply will be the same when the price is 37.50$
4. Write the x-coordinates in 10's and y-coordinates in 100's. Put 2 points for supply as (10,50) and (20,150) and connect them. For demand, put 2 points as (10,600) and (20,500) then connect the 2 points.
5. A) The equilibrium point is (75/2,325)
B) this compares because you can solve a system of equations by graphing or substituting.
Answer:
B. The domain for f(x) is the set {-2, -1, 0, 1, 2, 3, 4, 5, 6}
D. f(-1) = 6
Step-by-step explanation:
The question gives a table marking the different coordinate pairs for a function, where f(x) is y. The top row represents the x-values and the bottom row represents the y-values.
Domain
The domain of a function is the set of x-values that the graph covers. In this case, the x-values are all integers between -2 and 6. We can see this in the top row of the table. Answer choice B best represents this domain.
Solving for F(x)
F(x) represents a specific y-value, for example, f(-1) represents the y-value when x = -1. So, to test choice D, we need to find what y-value matches -1 on the table. The table shows that when x = -1, f(x) = 6. This means that answer choice D must be correct.