Answer: the y-coordinate that completes the point is 5.
Explanation:
An ordered pair (x, y) indicates the x-and-y coordinates of a general point, where x is the input value of a function and y is the output value.
The output value is y = f(x) and must be found applying the rule (function) to the given input value.
In this case the rulte is f(x) = - 3x + 2, and the input value, x, is - 1 (the first value of the ordered pair).
This is the mathematical procedure:
- x = - 1
- f(x) = f (-1) = -3 (-1) + 2 = 3 + 2 = 5.
To get rid of the 3.8, we add it.
1.2w - 3.8 + 3.8 = 12.4 + 3.8
1.2w = 16.2
Y=2x²-x+4
1) we have to find the slope of this line.
we have to calculate the first derivative of this function.
y´=4x-1
The slope in x=3 will be: m(3)=4(3)-1=12-1=11.
2)We have to find a point of this line:
if x=3; ⇒y=2(3)²-3+4=18-3+4=19; Our point will be (3,19)
2) point-slope form: we need a point (x₀,y₀) and the slope.
y-y₀=m(x-x₀)
We know the slope (m=11) and the point (3,19); therefore:
y-19=11(x-3)
y=11x-33+19
y=11x-14
Answer: A. y=11x-14
Answer: third option
Step-by-step explanation:
To solve the problem you must apply the proccedure shown below:
- Descompose the numerator and the denominator of the given fraction into its prime numbers:

Then you can rewrite:

Then:

Therefore, the answer is: 
Answer:
B. False; to be concave the angles cannot be congruent.
Step-by-step explanation:
Regular Polygons are never concave.