Answer:
7
Step-by-step explanation:
"a certain whole number" is a number that we don't know, so pick a variable, let's use n
"Twice" means two times, so we'll use 2n for this.
"subtracted from" means the 2n will be AFTER the minus sign.
____ - 2n
What goes in front? "3 times the square of the number" 3n^2
Now we have 3n^2 - 2n
Lastly, we see the result is 133. So this gives us:
3n^2 - 2n = 133 To solve, subtract 133 from both sides of the equation.
3n^2 -2n - 133 = 0 Next FACTOR.
(3n + 19)(n - 7) = 0
3n+19=0 and n-7=0
n=-19/3 and n=7
Since we are looking for a whole number choose n=7
Logically, he would owe 14 less each week
Let x = # of weeks passed
Algebraic Expression: 141 - 14x =
Week 1: 141 - 14 = 127
Week 2: 141 - 14(2) = 113
Week 3: 141 - 14(3) = 99
etc.....
Hope this helps
Answer:
The coefficient of x is 22.
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❖ 6/10 x 5 3/4 is 3.45 or 3 9/20
Multiply:
6 23
-- x ---
10 4
Cross simplify:
3 23 69 9
-- x --- = ---- = 3 ---
10 2 20 20
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The axis of symmetry can be found by finding the average of the zeros, a derivation from the conservation of energy :P, or by finding the point when the velocity is equal to zero.
df/dx=-6x+12 so df/dx, velocity, equals zero when:
-6x+12=0
6x=12
x=2 so the axis of symmetry is the vertical line x=2
....
average of zeros...
3x^2-12x+6=0
x^2-4x+2=0
x^2-4x=-2
x^2-4x+4=2
(x-2)^2=2
x-2=±√2
x=2±√2 so the average of the zeros is obviously 2.
....
conservation of energy
vf-vi=at When vf=0, this is the maximum value for f(x)...
-vi=at, vi=b and a(acceleration)=2a(from quadratic) and t=x
-b=2ax
x=-b/(2a) in this case
x=-12/(2(-3))
x=-12/-6
x=2
