Answer:
1/6
Step-by-step explanation:
should be the answer if I'm not mistaken
Answer:
<h2>
y = -4/9</h2>
Step-by-step explanation:
Given the system of equations y = 3/2 x − 6, y = −9/2 x + 21, since both expressions are functions of y, we will equate both of them to find the variable x;
3/2 x − 6 = −9/2 x + 21,
Cross multiplying;
3(2x+21) = -9(2x-6)
6x+63 = -18x+54
collecting the like terms;
6x+18x = 54-63
24x = -9
x = -9/24
x = -3/8
To get the value of y, we will substitute x = -3/8 into any of the given equation. Using the first equation;
y = 3/2x-6
y = 3/{2(-3/8)-6}
y = 3/{(-3/4-6)}
y = 3/{(-3-24)/4}
y = 3/(-27/4)
y = 3 * -4/27
y = -4/9
Hence, the value of y is -4/9
Answer:
y= -1/9(x-1)^2 +2
Step-by-step explanation:
The vertex is at (1,2) and another point is at (-2,1).
We know the vertex form of a parabola is
y= a(x-h)^2 +k where (h,k) is the vertex
Substituting the vertex in
y= a(x-1)^2 +2
We have another point, (-2,1)
Substitue this in with x=-2 and y =1. This will let us find a
1 = a(-2-1)^2 +2
1 = a (-3)^2 +2
1 = a*9 +2
Subtract 2 from each side
1-2 = 9a +2-2
-1 = 9a
Divide by 9
-1/9 = 9a/9
-1/9 =a
Putting this back into the equation
y= -1/9(x-1)^2 +2
Answer:
D) x² -x - 10 =0
Step-by-step explanation:
Given that
L.C.M
⇒ 
⇒ 9 x + 54 = 9 x² - 36
⇒ 9 x² - 36 - 9x - 54 =0
⇒ 9 x² - 9x - 90 =0
⇒ 9(x² -x - 10 ) =0
⇒ x² -x - 10 =0
Answer:
y = -(x + 2)² + 1
Step-by-step explanation:
Parent function given in the graph is a quadratic function,
f(x) = x²
Since, graph is opening downwards transformed function of the preimage will be,
g(x) = -x²
This transformed function is shifted further by 2 units left horizontally and 1 unit upwards.
Therefore, rule for the transformation will be,
g(x) → h[(x + 2), (y + 1)]
By this rule transformed function will be,
h(x) = -(x + 2)²+ 1
Equation of the curve will be,
y = -(x + 2)² + 1
