Answer:
Slope intercept form: y = 4x + 14
Slope: 4
Y-intercept: 14
Step-by-step explanation:
y - 2 = 4(x + 3)
Use distributive property
y - 2 = 4x + 12
y - 2 + 2 = 4x + 12 + 2
y - 0 = 4x + 14
y = 4x + 14
√3√27
=√(3*27)
=√81
=9
As 9*9=81.
----------------------
RULES:
√a√b=√ab
As (√a√b)²=((√a)²(√b)²)=√a√a√b√b=ab
When:
(√a√b)²=ab
√a√b=√ab
Answer:
See explanation.
Step-by-step explanation:
First put 2x-4 equal to 0 and solve it.
2x-4=0
2x=4
x=2
Now plug 2 into the polynomial and see if it equals to 0
In case it's not, then it is not a factor of it
2(2)^5 - 4(2)^4 + 2x^2 -2(2) - 4 = 0
So it's indeed a factor of the polynomial.
Hope this helps!
Answer:
Vertex is (-1, -9)
Step-by-step explanation:
To find the x-value of the vertex, we use the formula
x
=
−
b
2
a
(This is considered the axis of symmetry).
a
=
1
and
b
=
2
with
c
=
−
8
(These are the numbers in order)
By substituting we get
x
=
−
(
2
)
2
⋅
1
, which simplifies to
x
=
−
1
.
Once you find x, substitute back into the equation to find y.
y
=
(
−
1
)
2
+
2
(
−
1
)
−
8
y
=
1
−
2
−
8
y
=
−
9
Putting the two numbers together you get the coordinates
(
−
1
,
−
9
)
.