Answer:
Step-by-step explanation:
x² - 24x + 5 = 0
x² - 24x = -5
Now divide the co efficient of x by 2 and square the quotient and add to both sides
24/2 = 12
12² = 144. Now add 144 to both sides of the equation.
x² - 24x + 144 = 5 + 144
x² - 24x + 144 = 149
x² - 2*12*x + 12² = 149
(x - 12)² = 149
Both sides take square root
x - 12 = ±√149
x = 12 ± √149
Answer:
8 pens
Step-by-step explanation:
<h2><u>Finding the number of pens bought </u></h2>
pencil costs 0.27
pen costs 0.32
6 * pencils + x pens = 4.18
6 * 0.27 + x * 0.32 = 4.18
1.62 + 0.32x = 4.18
0.32x = 4.18 - 1.62
0.32x = 2.56
x = 2.56/0.32
x = 8
<u>hence 8 pens were bought </u>
(x-h)^2=4p(y-k)
we know it is this one because the directix is y=something and not x=something
(h,k) is the vertex
p is the distance from the vertex to the focus
it is 1/2 the distance from the vertex to the directix
if p is positive, the focus is above the vertex
if p is negative, the focus is below the vertex
we have
focus is (6,2) and directix is y=1
distance from (6,2) to y=1 is the distance from 2 to 1 which is 1
1/2=p
since 1<2, we see that the focus is above the vertex (when the focus is greater than the directix, then the graph opens to the right or up)
p=1/2
1/2 below (6,2) is (6,1.5)
vertex is (6,1.5)
p=1/2
(x-6)^2=4(0.5)(y-1.5)
(x-6)^2=2(y-1.5)
(x-6)^2=2y-3
2y=(x-6)^2+3
divide both sides by 2
y=1/2 times (x-6)^2+3/2
f(x)=1/2 times (x-6)^2+3/2
2nd option is answer
Answer
They sold 77 student tickets and 53 adult tickets
Step by step explanation
130x5=650
756-650=106
106/2=53
130-53=77
77=student tickets
53=adult tickets
Answer:
I think this is the link for the answer I hope this helps :) Solve 0=x^3-12x^2+35x-24 Tiger Algebra Solver
Step-by-step explanation:
