Answer:
12
Step-by-step explanation:
180 ÷ 15 = 12
15 can go into 180 , 12 times
15 x 12 = 180
Sorry I rlllllyyyyyyy don’t understanddddd
Answer:
The possible rational roots are: +1, -1 ,+3, -3, +9, -9
Step-by-step explanation:
The Rational Root Theorem tells us that the possible rational roots of the polynomial are given by all possible quotients formed by factors of the constant term of the polynomial (usually listed as last when written in standard form), divided by possible factors of the polynomial's leading coefficient. And also that we need to consider both the positive and negative forms of such quotients.
So we start noticing that since the leading term of this polynomial is
, the leading coefficient is "1", and therefore the list of factors for this is: +1, -1
On the other hand, the constant term of the polynomial is "9", and therefore its factors to consider are: +1, -1 ,+3, -3, +9, -9
Then the quotient of possible factors of the constant term, divided by possible factor of the leading coefficient gives us:
+1, -1 ,+3, -3, +9, -9
And therefore, this is the list of possible roots of the polynomial.
4x+7=35
4x=28
x=7
A corresponding solution of the matching equation is a fancier way of telling you to find the number that represents x
Answer:
Option B: ![y = -\frac{1}{2} x^2](https://tex.z-dn.net/?f=y%20%3D%20-%5Cfrac%7B1%7D%7B2%7D%20x%5E2)
Step-by-step explanation:
The parabola has its concavity downwards, so we need a function in the model:
![y = ax^2 + bx + c](https://tex.z-dn.net/?f=y%20%3D%20ax%5E2%20%2B%20bx%20%2B%20c)
With a negative value of 'a'
The vertex is (0,0), so we have that:
![0 = 0a + 0b + c](https://tex.z-dn.net/?f=0%20%3D%200a%20%2B%200b%20%2B%20c)
![c = 0](https://tex.z-dn.net/?f=c%20%3D%200)
The x-coordinate of the vertex is given by the equation:
![x\_vertex = -b/2a](https://tex.z-dn.net/?f=x%5C_vertex%20%3D%20-b%2F2a)
![-b/2a = 0](https://tex.z-dn.net/?f=-b%2F2a%20%3D%200)
![b = 0](https://tex.z-dn.net/?f=b%20%3D%200)
So we have a function in the model:
![y = ax^2](https://tex.z-dn.net/?f=y%20%3D%20ax%5E2)
With a < 0
The only option with this format is B:
![y = -\frac{1}{2} x^2](https://tex.z-dn.net/?f=y%20%3D%20-%5Cfrac%7B1%7D%7B2%7D%20x%5E2)