<span>Given, y^2 - 14y = -44
Add 44 to both sides of the equation
</span>y^2 - 14y + 44 = -44 + 44<span>
</span>y^2 - 14y + 44 = 0
Using the quadratic formula x = [-b ± √(b² - 4ac)]/2a
Where,
a = 1
b = -14
c = 44
x = [-b ± √(b² - 4ac)]/2a
x = [-(-14) ± √(-14² - 4(1)(44)]/2(1)
x = [14 ± √(196 - 176)]/2
x = [14 ± √20]/2
x = (14 + √20)/2 OR (14 - √20)/2
x = (14 + 4.472)/2 OR (14 - 4.472)/2
x = 18.472/2 OR 9.528/2
x = 9.236 OR 4.764
The solution set is {9.236, 4.764}
TO EXPRESS THE ANSWER IN RADICALS
x = [14 ± √20]/2
x = (14 + √20)/2 OR (14 - √20)/2
x = (14 + 2√5)/2 OR (14 - 2√5)/2
<span>x = 7+√5 OR 7-√5
</span>
The solution set is {7+√5, 7-√5}
Answer:
A. y = x^2 -6x + 13
Step-by-step explanation:
The parabola that opens up and has line of symmetry x=3 and a minimum at x=3 is
The reason is that, we can write this function in the vertex form to get;
Hence the line of symmetry is x=3 and the vertex is (3,4)
Answer:
4
Step-by-step explanation:
I know this cause I did the quiz
We know that
Based on the table
Percent%=[1-Decay factor]*100%
so
for decay factor=0.98
Percent%=[1-0.98]*100%----> 2%
for decay factor=0.50
Percent%=[1-0.50]*100%---->50 %
for decay factor=0.64
Percent%=[1-0.64]*100%----> 36%
for decay factor=0.23
Percent%=[1-0.23]*100%----> 77%
therefore
the answer is
36%
