If you look at the quadratic formula:
x=(-b±√(b^2-4ac))/(2a)
We can say that -b=5, b=-5
If I read it right you had ±2√7 which is equal to ±√28, and we know b=-5 so:
±√(25-4ac)=±√28
And since 3=2a, a=1.5 making the above:
±√(25-6c)=±√28
25-6c=28
-6c=3
c=-0.5
So a=1.5, b=-5, and c=-0.5 thus
y=1.5x^2-5x-0.5
We can check this by reapplying the quadratic formula to the equation above
x=(5±√(25-4(1.5)(-0.5))/3
x=(5±√(25+3))/3
x=(5±√28)/3
x=(5±√(4*7))/3
x=(5±2√7)/3
The total amount of cable used is 47.4m
<u>Explanation:</u>
Given:
Amounts of cable used that has to be rounded off to 1 decimal place:
12.995 m ≈ 13.0 m
7.505 m ≈ 7.5m
10.08 m ≈ 10.1 m
6.95 m ≈ 7.0 m
9.75 m ≈ 9.8 m
Total amount of cable used = 13m + 7.5m + 10.1m + 7m + 9.8m
= 47.4m
Therefore, total amount of cable used is 47.4m
The first inequality, y + 2x > 3, is y>-2x+3 in slope-intercept form.
The first inequality, y + 2x > 3, has a dashed boundary line.
The second inequality, y 3.5x − 5, has a solid <span>boundary line.
</span>Both inequalities have a solution set that is shaded above <span>their boundary lines.
</span>1, 5 <span>is a point in the solution set of the system of inequalities.
</span>
Answer:
2750 x (1 - 0.21)ˣ
Step-by-step explanation:
Original: 2750
1st week after: 2750 x (1 - 0.21)
2nd weeks after: 2750 x (1 - 0.21) x (1 - 0.21) = 2750 x (1 - 0.21)²
x weeks after: 2750 x (1 - 0.21)ˣ
<span>A </span>continuous function<span> <span>allows
the </span>x-values to be ANY points<span> in the
interval, including fractions, decimals, and irrational values.</span> The graph
is continuous because the cost could be any number depending on how many pounds
of nuts Kenny bought in the market</span>
