Hello from MrBillDoesMath!
Answer:
x + 9 and (x + ( i - 7)) are factors
Discussion:
If f(x) has roots -9 and 7-i then
f(x) = g(x)(x - (-9)) (x - (7-i)) ( g(x) is a polynomial of degree less than f(x))
That is, x + 9 and (x + ( i - 7)) are factors of f(x)
BTW: if the coefficients of f(x) are real (not stated in the Question) then the conjugate of 7-i, i.e. 7 + i, is also be a root.
Thank you,
MrB
Here we're applying a basic physics rule for vertical motion where the only pull on the object is gravity.
This rule has the form
h(t) = h + v t + (1/2)a*t^2
o o
To adapt this rule to this particular question replace h with 0, as the
o
upward path of the object begins at 0 ft. Replace v with +15 ft/sec.
o
Replace "a" with (-32.2 ft/(sec^2); this is the acceleration due to gravity.
Then we have the following, with the label F(t):
F(t) = 0 + (15 ft/sec)t + (1/2)(-32.2 ft)/(sec^2), or
F(t) = 15t - 16.1t^2. Thus, Choice D is correct.
Please note: To avoid confusion, please use " ^ " to denote exponentiation:
F(t) = -16t^2 + 15t
To find the area of the paper. You must multiply the width and the height, which is 9 and 19.
9 x 19 is 171
And multiply that by 4
171 x 4 = 684
Total area is 684
<h2>1/4 or 0.25</h2>
Step-by-step explanation:
Convert Mixed number to improper fraction.
Equate
Cross Multiply
Divide both sides of the equation by 40
Simplify
Answer:
50 dollars
Step-by-step explanation:
40*25%=10
40+10= 50 dollars
Add it to find the original sales price which would end up being 50 dollars! Hope this helps, have a good day. c;