<span>(x+4)(x+1) = m+2x
x² + 5x + 4 − m − 2x = 0
x² + 3x + (4−m) = 0
Quadratic equation has exactly one real solution
when discriminant = 0
b² − 4ac = 0
3² − 4(1)(4−m) = 0
9 − 16 + 4m = 0
−7 + 4m = 0
4m = 7
m = 7/4
-------
Second problem:
Line y = 3 intersects graph of y = 4x² + x − 1 at point A and B
y-coordinates of points A and B = 3, since they are both on line y = 3. We need to find x-coordinates
4x² + x − 1 = 3
4x² + x − 4 = 0
x = (−1 ± √(1−4(4)(−4))) / 8
x = (−1±√65) / 8
AB = (−1+√65)/8 − (−1−√65)/8 = 2√65/8 = √65/4 = √(65/16)
m−n = 49</span>
I have take the answer from internet, I hope it help
Ratio 3:1...added = 4
beef : 3/4(6) = 18/4 = 4.5 lbs
pork : 1/4(6) = 6/4 = 1.5 lbs <===
Answer:
c
Step-by-step explanation:
to much working out but just as a summary section of working out
3*15=45
300+45=$345(1st year)
345+300=645
6.45*15=96.75
645+96.75=$741.75(2nd year)
keep on doing that until you beat 2 in list and use common sense to realise that (d) is too big, and (b, a) is too small so (c) is the correct amount. (this is quicker than actually doing all 20 years)
Answer:
40%
Step-by-step explanation:
$1,800 × 0.40 = 720
Half of 1800 is 900, so 40% is 720
Step-by-step explanation:
The total degrees is always 360. So whe get 360=180+3x. 360-180=3x. 180=3x. x=60. I don't know how you're supposed to get 84 degrees.