To convert a quadratic<span> from y = ax</span>2<span> + bx + c form to </span>vertex<span> form, y = a(x - h)</span>2+ k, you use the process of completing the square. Let's see an example. Convert y = 2x2<span>- 4x + 5 into </span>vertex<span> form, and state the </span>vertex<span>.</span>
Answer and work is in the picture !
The slope-intercept form: y = mx + b
m - slope
b - y-intercept
We have 3x - 2y = 6 <em>subtract 3x from both sides</em>
-2y = -3x + 6 <em>divide both sides by -2</em>
y = 3/2 x - 3
slope: m = 3/2
y-intercept: b = -3
x-intercept for y = 0. Substitute:
3/2 x - 3 = 0 <em>add 3 to both sides</em>
3/2 x = 3 <em>multiply both sides by 2/3</em>
x = 2
<h3>Answer:</h3><h3>slope = 3/2</h3><h3>y-intercept = -3</h3><h3>x-intercept = 2</h3>
----------------------------------------------------------------
y = 3/2 x - 3 it's the same function like first function.
Q57) if 1/4 of a packet cover 1/5 then using a packet is using 4* 1/4 of it. This means that 4*1/5 of the garden would be covered which = 4/5.
q58) the total is 24 and 9 of them are boys. Therefore it follows that 9/24 of them are boys and so thats the probability of choosing a boy at random.
0.0055 gram
I think that’s the right answer
