when multiplying two binomials together we use the F.O.I.L. method:
First
Outer
Inner
Last
(7-3i)(2-i)
First: 7 * 2 ..... Outter: 7 * -i .... Inner: -3i * 2 ...... Last: -3i * -i
First: 14 ...... Outter= -7i ..... Inner: -6i .... Last: 3i^2
putting this together we get 14-7i-6i+2i^2
We combine like terms and end up with 2i^2-13i+14
Determine the defined range k=0
move expression to the left side and change its sign so it would be the problem = 0
write all numerators above the least common denominator 6k (*2*)-Squared
calculate the sum or the difference
check the solution in the defined range
hope this helped you
Answer:
$74 is the store owners profit
Step-by-step explanation:
25 (caculators) × $32 ( calculator cost)=$800 [(how much they costed when the owner order them it costed him $800)]
22 ( calculator that he sold) × $40 ( calculator cost) = $880 [( how much he made when he old them)]
$880-$6 ( because he had to return three calculators that he could not sell and had to pay a $2 charge for every one he return 3 (calculator)= $6) =$874(how much he made after selling that calculators
$874 - $800= $74
( he bought the cacaulators for $800 and sold them for $874 so you have to subtract the $800 dollars that he had to buy the calculators for, he made $74 )
The probability of her rolling at least a 3 and flipping heads is 4/12 or 33 1/3 %.
4/6 * 1/2 = 4/12= 1/3 =0.3333333 = 33 1/3% or 33.33333%
I hope this helps!!
The 2 angles form a linear pair and angles that form a linear pair have a sum of 180 so
10x + 15 + 5x = 180
15 + 15x = 180
180 - 15 = 15x
165 = 15x
11 = x