Answer:
1/2 x^2 + 2x - 6 = 0
(1/2 x - 1)(x + 6) = 0
zeroes are 2 and -6
so the graph intersects x axis at -6 and 2
The only one to do that is diagram A
Step-by-step explanation:
The given function is
First, we need to find the zeros of the quadratic function, which represent the interception with the x-axis:
So, the graph of this function has two interception points with x-axis, which are
Now, we have to find the vertex of the function to draw it:
The horizontal coordinate of the vertex is
The vertical coordinate of the vertex is
So, the vertex is at
The graph would be as the image attached.
-8×-7=56
-8×-4x=32x
answer is 56+32x
a) $30
b) $8
Wayne's savings to Stef's savings were in the ratio 5:6.
Let, Wayne's saving is 5x and Stef's saving is 6x.
Now, given that after spending $28 each the ratio became 1:4.
So, we can write the equation as
⇒ 20x - 112 = 6x - 28
⇒ 14x = 84
⇒ x = 6
a) Therefore, Wayne's savings before he spends $28 is $(5 × 6) = $30
b) And, Stef's savings after she spends $28 will be $(6x - 28) = $(6 × 6 - 28) = $8 (Answer)