Answer:
1 and -2
Step-by-step explanation:
-2x^2=2x-4 so 2x^2 + 2x -4 = 0
2(x^2+x-2)=0
x^2+x-2 = (x-1)(x+2)
x=1 x=-2
<h3>
Answer: x = 60</h3>
Work Shown:
a+x = 180
120+x = 180
x = 180-120
x = 60
Side note: angles 'a' and x are same side interior angles, which are supplementary whenever we have parallel lines like this.
For the mix you need 60 Ib of nuts and raisins, and 60 lb of mix will sell for $300.
Let <em>x</em> be the weight of nuts and <em>y</em> the weight of raisins needed for the mix.
Total weight = <em>x</em>+<em>y</em> = 60, so <em>y</em> = 60 - <em>x</em>
Total value = 6<em>x</em> + 3<em>y</em> = 300. From the above, we can substitute the <em>y</em> for 60 - x:
Total value = 6<em>x</em> + 3(60 - <em>x</em>) = 300, which we can simplify to:
6<em>x</em> + 180 - 3<em>x</em> = 300, and simplify again to:
3<em>x</em> = 120, and again to:
<em>x</em> = 40. We can now calculate<em> y</em> from the first equation y = 60 - <em>x</em>, so:
y = 20.
40 lb of nuts and 20 lb of raisins. Check:
40 lb x $6/lb = $240, and 20 lb x $3/lb = $60, $240 + $60 = $300.
ABCD is a parallelogram ⇒ BE = DE
So: 7x - 12 = 3x + 4
⇔ 7x - 3x = 4 + 12
⇔ 4x = 16
⇔ x = 16/4 = 4
⇒ BE = 7(4) - 12 = 28 - 12 = 16
⇒ DE = 3(4) + 4 = 12 + 4 = 16
⇒ BD = BE + DE = 16 + 16 = 32
Answer: BD = 32
Ok done. Thank to me :>
