Answer:
The number that goes in place of the question mark is 2.
Step-by-step explanation:
Let's solve it!
3x² + 12x - 24 = 0
First we can factor 3 out of each term:
x² + 4x - 8 = 0
Now we'll add 12 to both sides to complete the square:
x² + 4x + 4 = 12
And finish it off:
(x + 2)² = 12
So the answer to the question is 2
Bonus:
We can also now solve this for x:
(x + 2)² = 12
x = √12 - 2
x = 2√3 - 2
x ≈ 2 × ±1.732 - 2
x ≈ 1.464, -5.464
Answer:
The correct option is C
Step-by-step explanation:
The given equation is:
y ≥ 2x - 3
For x= 2
y = 2(2) - 3 = 1
For x=0
y = 2(0) - 3 = -3
WE have two point:
(2,1) and (0,-3)
Graph both points on the coordinate plane.
Join both points and extend the line to find the graph of the line y = 2x - 3
To find the area the represents y ≥ 2x - 3, consider any point, suppose (0,0)
Substitute (0,0) into y ≥ 2x - 3
0 ≥ 2(0) - 3
0 ≥ -3
Hence the equation satisfies.
Which means the area which has the point (0 , 0) shows the region for the equation y ≥ 2x - 3.
The graph is shown.
40:50
8:10
4:5
Just keep on simplifying till you get to the most simplified.
Answer:
y = -2x + 4
Step-by-step explanation:
N/A
0.4 means 4 tenths. this means 4/10. the simplified fraction of this is 2/5