<h3>Axis of symmetry is 0 and vertex is (0, -1)</h3>
<em><u>Solution:</u></em>
<em><u>Given is:</u></em>
We have to find the vertex and axis of symmetry
<em><u>The general equation is given as:</u></em>
Comparing with given equation,
a = 2
b = 0
c = -1
<em><u>The axis of symmetry is given as:</u></em>
Thus axis of symmetry is 0
The x coordinate of the vertex is the same
x coordinate of the vertex = 0
h = 0
The y coordinate of the vertex is:
k = f(h)
k = f(0)
Thus, y coordinate of the vertex is -1
Therefore, vertex is (0, -1)
For this case we have that by definition, the GFC (greatest common factor) of two numbers is given by the greater number that is a factor of both numbers. Then, let:
We decompose into factors:
15: 1,3,5,15
18: 1,2,3,6,9,18
The GFC is 3.
So, we have that the GFC of the expressions is:
Answer:
Step-by-step explanation:
The real intercept is (x-2)
The imaginary intercepts are
(3i,0) (-3i, 0) (-5i,0) (5i, 0)
The factors are
(x - c)
(x - (-3i) = (x+3i)
(x-(3i) = (x-3i)
(x - (-5i) = (x+5i)
(x-(5i) = (x-5i)
(x-(2)) = (x-2)
Answer:
5. k=−3
6. x=4
7. n=−108
Step-by-step explanation:
5. -14k+29=71
Subtract 29 from both sides
-14k+29-29=71-29
Simplify
-14k=42
Divide both sides by -11
-14k/-14=42/-14
6. -33=19-13x
Subtract 29 from both sides
-14k+29-29=71-29
Simplify
-14k=42
Divide both sides by -14
-14k/-14=42/-14
Simplify
k=-3
7. 8+n/25=-4
Multiply both sides by 25
25(8+n)/25 = 25 (-4)
Simplify
8+n=-100
Subtract 8 from both sides
8+n-8=-100-8
Simplify
n=-108
Answer:
hope this helps
2x-4
Step-by-step explanation:
