Answer:
third answer
Step-by-step explanation:
The end behavior of the function indicates that the leading coefficient of x is negative (as x approaches infinity, f(x) approaches negative infinity for cubic functions with negative leading coefficients). This eliminates the first 2 answers. Next, factor out the common factor from the 3rd answer and set it to 0 to see if the roots of the polynomial shown on the graph (x=-3, x=2) match that of the answer.
- factor out -2x since each term in the 3rd answer is divisible by -2x => -2x(x^2+x-6)
- set the factored polynomial equal to 0 => -2x(x^2+x-6)
- divide both sides by -2x => 0 = x^2+x-6
- factor => (x+3)(x-2) = 0
- find zeros by setting both factors equal to 0 => x=-3, x=2
This means that the 3rd answer is correct. The last answer, while having the correct leading coefficient, will produce roots of 3 and -2 instead of -3 and 2, which is shown on the graph.
Answer:
You can tell if a table is linear by looking at how X and Y change. If, as X increases by 1, Y increases by a constant rate, then a table is linear.
I think it is 63 because a triangle equals 180
So the first thing we need to do is multiply 3*-5, since order of operations dictates it (PEMDAS)

Now, whenever we see a minus negative number, we can think of it as adding a positive number

Now we just add them together

23 is the answer
Answer:
The unit rate is 0. 14 miles per minute.
Hence, option a is correct.
Step-by-step explanation:
Given
Running of 5/4 a mile in 9 minutes.
To determine
The unit rate = ?
Given that the running 5/4 a mile in 9 minutes.
i.e.
Miles covered in 9 minutes = 5/4 or 1.25 miles
Miles covered in 1 minute = 1.25/9
= 0. 14 miles per minute
Therefore, we conclude that:
The unit rate is 0. 14 miles per minute.
Hence, option a is correct.