Answer:
x1 = 2
x2 = -1/3
Step-by-step explanation:
3x^2-5x-2=0
D=25-4*(-2)*3 = 25 + 24 = 49 --> sqrt 49 = 7
x1 = 5 + 7 / 2*3 = 2
x2 = 5 - 7 / 2*3 = -1/3
<span><em />
3x+y=5</span>
<span /><span>2x-2y=22 ...............2(x-y)=22 ⇒ x-y=11</span><span><em /></span>
<span><em>3x+y=5</em></span>
<span /><span><em><u>x-y=11 </u> </em>(+)</span>
<span />3x+x+y-y=11+5
<span>4x=16 /:4</span>
<span /><em>x=4</em>
x-y=11
4-y=11
-y=7 /*(-1)
<em>y=-7</em>
<span><em></em></span>
<span>x² +y² -4x -6y +8=0
(x² -4x) +(y² -6y) = -8
We are going to complete square for x and y,
it should look like a²+2ab+b² = (a +b)², or </span>a²-2ab+b² = (a -b)²,
<span>
(x²-2*2x+2²) -2² + (y²-2*3y +3²)-3²=- 8
(x-2)²+(y-3)²-4-9=-8
</span>(x-2)²+(y-3)²=-8+13
(x-2)²+(y-3)²=5
<span>
Formula a circle (x-h)²+(y-k)²=R², where vertex has coordinates (h, k)
So , for our circle vertex (2,3) and radius = </span>√5<span>
</span>
<h2>
Answer:</h2>
The graph is given in the attached image
Answer:
$0.30 per ounce for the small popcorn
Step-by-step explanation:
Divide 4.5 (price) by 15 (oz) to get the unit price.
Have a nice day!!!
