Answer:
c. (x + 3)
Step-by-step explanation:
using factor theorem
if x - 3 is a factor then p(a) = 0
p(a)= x^3 - 3x^2 - 4x + 12
a.(x-3)
p(3) = (3)^3 - 3(3)^2 - 4(3) + 12
= 27 - 27 - 12 + 12
= 0
therefore x-3 is a factor
b.(x + 2)
p(-2) = (-2)^3 - 3(-2)^2 - 4(-2) + 12
= -8 -12 + 8 + 12
,= 0
therefore x + 2 is a factor
c.(x + 3)
p(-3) = (-3)^3 - 3(-3)^2 - 4(-3) + 12
= -27 -27 + 12 + 12
= -30
therefore x + 3 is not a factor
d.(x-2)
p(2) = (2)^3 - 3(2)^2 - 4(2) + 12
= 8 -12 - 8 + 12
= 0
therefore x - 2 is a factor
Answer:
Obtuse scalene
Step-by-step explanation:
Answer: False.
Step-by-step explanation:
Initially, the ratio is 2:7
This means that if we have 2 red marbles, we must have 7 yellow ones.
The quotient here is 7/2 = 3.5
Now, if you add 3 marbles of each colour, then we have:
2 + 3 = 5 red marbles
7 + 3 = 10 yellow marbles.
Now the ratio is 5:10
This means that for every 5 red marbles, we have 10 yellow ones.
But now we can divide both numbers by the same positive integer, because they have a common factor equal to 5.
5/5 = 1
10/5 = 2
Then we have:
5:10 = 1:2
So the new ratio is 1:2
Then the ratio changed when we added the new marbles, which means that Maria was wrong.
Answer:
y=2x+4
Step-by-step explanation:
**Your line isn't clearly shown on point with the grid**
If you want this in the slope-intercept form then here it is:
Slope-intercept formula: y=mx+b
Your coordinates: (-3,2) and (1,10)
To find the slope (which is the "m" in the formula) you need to do this formula:
y2 - y1 / x2 - x1 =
(The 2's and 1's should be subscript)
10-2/1-(-3) = 8/4
8/4=2
The slope should be 2
Formula right now: y=2x+b
You need to find the y-intercept:
That should be a point on the y-axis.
(0,n) **N is used for a variable since we don't have a number yet.
In your coordinate plane, (0,4) is your y-intercept.
When writing the y-intercept in the formula don't write a coordinate write the "y"
Formula: y=2x+4
