keilahsalmon

19.11.2020 •

Mathematics

Which is true about the solution to the system of inequalities shown? y > 3x + 1
y 3x + 1

Only values that satisfy y > 3x + 1 are solutions.
Only values that satisfy y 3x + 1 or y < 3x – 3 are solutions.
There are no solutions.

Which is true about the solution to the system of inequalities shown?

y > 3x + 1y 3x + 1 Only

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Ответ:

Maddy8368

02.01.2022

Mathematics

Vertex is (3,3)

Axis of symmetry is x=3

Step-by-step explanation:

Given : Function y = 2x^2 -12x + 21

To find : The axis of symmetry and the vertex of the given function.

Solution :

The given function is in the form of quadratic equation y=ax^2+bx+c

Comparing with the given function y = 2x^2 -12x + 21

a=2 , b=-12 and c=21

x-coordinate of axis of symmetry and vertex

Axis of symmetry is given by $x=-\frac{b}{2a}$

Substitute the value,

$x=-\frac{-12}{2(2)}$

$x=\frac{12}{4}$

x=3

For y-coordinate of axis substitute x=3 in y

y = 2(3)^2 -12(3) + 21

y = 2(9)-36+ 21

y = 18-15

y = 3

Therefore, The vertex of function is (3,3).

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Which is true about the solution to the system of inequalities shown? y > 3x + 1y 3x + 1 Only values that satisfy y > 3x + 1 are solutions.Only values that satisfy y 3x + 1 or y < 3x – 3 are solutions.There are no solutions.