Converting to vertex form is one way of doing this
2x^2 + 12x + 19
= 2(x^2 + 6x) + 19
= 2 [ x + 3)^2 - 9] + 19
= 2(x + 3)^2 - 18 + 19
= 2(x + 3)^2 + 1

the minimum value is 1

5 0

3 years ago

Two increased by three equals the quotient of ten and two.

Marrrta [24]

Answer: 5 = 5 or true its an equal equation.

Step-by-step explanation:

The equation would look like this: 2 + 3 = 10 divided by 2. This equation is extremely easy it turns out to be 5 = 5 because 2 + 3 = 5 and 10 divided by 2 is 5 so your final answer is 5 = 5 or if its a true or false question, the answer is true it is an equal equation. Please mark me brainliest. -Cyrusskywalker

5 0

3 years ago

Help 3 and 4 please!!!!!!!!!!!!

aleksandrvk [35]

Easy peasy

the bit where it says
D={something}
those are the numbers you should input for x to get y values

3.
first solve for y to make life easier
-3x-5y=20
times -1
3x+5y=-20
minus 3x both sides
5y=-3x-20
divide both sides by 5
y=-3/5x-4
sub value of the domain
x=-10
y=-3/5(-10)-4
y=6-4
y=2
a point is (-10,2)

x=-5
y=-3/5(-5)-4
y=3-4
y=-1
(-5,-1) is another

x=0
y=-3/5(0)-4
y=-4
(0,-4) is another

x=5
y=-3/5(5)-4
y=-3-4
y=-7
(5,-7)

points are (-10,2), (-5,-1), (0,-4), (5,-7)

4.
input
x=-2
y=(-2)^2-3
y=4-3
y=1
(-2,1)

x=-1
y=(-1)^2-3
y=1-3
y=-2
(-1,-2)

x=0
y=(0)^2-3
y=-3
(0,-3)

x=1
y=(1)^2-3
y=1-3
y=-3
(1,-3)

x=2
y=(2)^2-3
y=4-3
y=1
(2,1)

the points are (-2,1), (-1,-2), (0,-3), (1,-2), (-2,1)

see graph below

5 0

3 years ago