Step-by-step explanation:
Given:
- when s = 12 mph t =0.18 let (s,t) or (a,b) = (12,0.18)
- when s = 22 mph t = 0.23 s (s,t) or (a,b) =(22,0.23)
- when s = 30 mph t = 0.15 s (s,t) or (a,b) =(30,0.15)
<u>we know the general format of Quadratic equation to be </u>
<u>= </u><u>ax²+bx+c=0</u>
<u></u>
<u>Step 1</u> :
when the birds pass through a,b (12,0.18) we cane give the expression as
= ax²+bx+c=0
= 12x² + 0.18x + c= 0
it can also be written as
<u>s = ut + 1/2 at²</u> = 0.18t +( 1/2) a(0.18)²
<u></u>
<u>step 2 :</u>
through points (22,0.23)
= 22x² + 0.23x + c = 0
<u>s = ut + 1/2 at²</u> = 0.23t + (1/2) a(0.23)²
<u>Step 3 :</u>
through points (30,0.15)
= 30x² + 0.15x + c = 0
<u>s = ut + 1/2 at²</u>
= 0.15 u +(1/2) a(0.15)²
Answer:
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Answer: 1.455 km
Step-by-step explanation:
First lets convert 145,500 cm in m.
145500 × 10^-2 m ( NOTE that c = 10^-2 )
= 1455 m
Now convert 1455 m in km.
1455× 10^-3× 10^3 m
= 1455 × 10^-3 km (NOTE that k= 10^3)
= 1.455 km
Step-by-step explanation:
Factor Theorem:
"If a is a root of a polynomial, (x - a) is a zero of the polynomial."
Therefore by Factor Theorem,
we have (x - 1)(x + 3) = x² + 2x - 3.
He has 30 and gets rid of 4 so 26 cookies then gets rid of 8 more, so then 18 cookies left.
