Answer:
t= 16.5
Step-by-step explanation:
See the steps below:)
The standard form of a parabola is y=ax²+bx+c
use the three given points to find the three unknown constants a, b, and c:
-2=a+b+c............1
-2=4a+2b+c......... 2
-4=9a+3b+c...........3
equation 2 minus equation 1: 3a+b=0..........4
equation 3 minus equation 2: 5a+b=-2.........5
equation 5 minus equation 4: 2a=-2, so a=-1
plug a=-1 in equation 4: -3+b=0, so b=3
Plug a=-1, b=3 in equation 1: -2=-1+3+c, so c=-4
the parabola is y=-x²+3x-4
double check: when x=1, y=-1+3-4=-2
when x=2, y=-4+6-4=-2
when x=3, y=-9+9-4=-4
Yes.
The answer is c.
(a)
x * 2 = y
2 * 2 = 4
3 * 2 = 6
4 * 2 = 8 not 9
(b)
unknown formula
(c)
x * 3 = y
4 * 3 = 12
5 * 3 = 15
6 * 3 = 18
(d)
x * 4
1 * 4 = 4
2 * 4 = 8
3 * 3 = 9 not 15
Answer:
See below
Step-by-step explanation:
r/6 <-6 multiply both sides by 6 to get
<u>r < - 36 </u>
<u />
<u> or</u> 4r+2 > 18 subtract 2 from both sides of the equation
4r > 16 divide both sides by 4
<u> r > 4 </u>
Answer:
g(x) is a quadratic function ⇒ 2
Step-by-step explanation:
- The quadratic function is the function that has 2 as the greatest power of the variable
- The form of the quadratic function is f(x) = ax² + bx + c, where a, b, and c are constant
Let us use the information above to solve the question
∵ f(x) = 
∵ x is the exponent of the base 1.5
→ That means f(x) is not in the form of the quadratic function
∴ f(x) is not in the form of the quadratic function above
∴ f(x) does not represent a quadratic function
∴ f(x) is not a quadratic function
∵ g(x) = 500x² + 345x
∴ The greatest power of x is 2
→ That means g(x) is in the form of the quadratic function above
∵ g(x) is in the form of the quadratic function above, where a = 500,
b = 345, and c = 0 (constant values)
∴ g(x) represents a quadratic function
∴ g(x) is a quadratic function