Step-by-step explanation:
Explanation:
Given:
−3x2+12x+1=0
This is in the form:
ax2+bx+c=0
with a=−3, b=12 and c=1
In order to decide which method to use, we can first examine the discriminant:
Δ=b2−4ac=122−4(−3)(1)=144+12=156
Since Δ>0 we can tell that the quadratic has 2 distinct real solutions, but because it is not a perfect square we can also tell that those solutions are irrational.
So there is no rational factorisation and we can discount the use of an AC method or similar.
We can use the quadratic formula or we can complete the square.
If we choose to use the quadratic formula, then we find:
x=−b±√b2−4ac2a
x=−b±√Δ2a
x=−(12)±√1562(−3)
x=−12±2√39−6
x=2±√393
When completing the square, note that b=12 is already divisible by a=−3 and by
The population of the county is 76,869.
Step-by-step explanation:
Given,
Number of people with Diabetes = 12914
Percent of people with Diabetes = 16.8%
Let,
x be the number of people in county.
16.8% of x = 12914
Dividing both sides by 0.168
Rounding off to nearest whole number
x = 76,869
The population of the county is 76,869.
Keywords: division, percentage
Learn more about percentage at:
#LearnwithBrainly
<em>Substitute x = 2 as we get</em>
<em>f(2) = -4(2)+4 = -8+4 = -4</em>
<em>Therefore, f(2) = -4</em>
Answer:
38.4 miles
Step-by-step explanation:
3.3 + 7.7 + 5.9 + 16.1 + 5.4 = 38.4
Answer:
(16√75)/(5√12) = 8
Step-by-step explanation:
