Any time you have a fraction within an equation, multiply the entire equation by the denominator to clear the fraction. Since the lead term is negative, we can multiply that away as well
(-14) (0=-1/14x²+4x+5) [now distribute]
0=x²-56x+70 [try to factor into binomials first]
Since 70 only has prime factors of 2·5·7, there is no combination which equals (-56). Use the quadratic formula, or complete the square. I'll use quadratic:
x=<u>-b+/-√(b²-4ac)</u>
2a
a=1, b=(-56), c=70
x= <u>-(-56)+/- √((-56)²-4(1)(70)</u>
2(1)
x= <u>56+/- √(3136-280)
</u> 2
<u />x=<u>56+/-√(2856)</u>
2
x=<u>56+/-√(2³·3·119)</u>
2
x=<u>56+/-2√(714)</u>
2
x=28+√714; x=28-√714
Answer:
Step-by-step explanation:
0.912 (C) is the probability that a student who saw an increase in their grade had studied
Answer:
5.65................................
Step-by-step explanation:
Answer:
6x-4y=24
Step-by-step explanation:
From the graph, there are two intersections to be found one at (4,0) and another at (0,-6)
Now,
slope,m= y1-y2/x1-x2
=0+6/4-0
=3/2
The equation of the straight line passingt through the point (4,0) is
y-y1=m(x-x1)
or, y-0=3/2 (x-4)
or, 2y=3x-12
or, 3x-2y=12
or, 2(3x-2y)=2(12) [Multiplying both sides by 2]
or, 6x-4y=24