Given:
The inequality is:

To find:
The graph of the given inequality.
Solution:
We have,

Subtract both sides by 1.


Divide both sides by 3.

The value of t is less than or equal to
.
Since
, it means
is included in the solution, therefore there is a closed circle at
and an arrow approaches to left from
.
Therefore, the correct option is A.
Answer: x² + y² = 25
Step-by-step explanation: As we have x²+y²=25 (A) as options,
x-y=1 (B)
x+y=25 (C)
x²+y²=5 (D)
We can rule out B and C as they are not circles. Circles must be
(x - xc)² + (y - yc)² = r². They must have index 2.
We have then A or D.
As the circle must pass through (3,4), we can substitute as x=3 and y=4
(A) 3² + 4² = 9 + 16 = 25 ok
(D) 3² + 4² = 9 + 16 = 25 ≠ 5
So, it is A, x² + y² = 25
Step-by-step explanation:
Using the Intermediate Value Theorem, the following is applied:
"If f(x) is a continuous on interval [a,b] and we have two points f(a) and f(b) then there must be some value c such that f(a)<f(c)<f(b).
So here there must be a c such that

Note: F(c)=0, the questions that the function have a solution between 0 and 1, so that means we must have some value, c such that f(c)=0 that exists
Next, plug in the x values into the function


Since cubic functions are continuous and -4<0<4, then there is a solution c that lies between f(0) and f(1)
The answer is 6/21 is not in its simplest form as you can still divide them both by 3