Carly works in the shipping department of a toy manufacturer. Toy cars weigh 1 kilogram apiece and are shipped in a container th
2 answers:
Answer:
9 kg
Step-by-step explanation:
1. Let x be the number of car toys packed into container. Toy cars weigh 1 kilogram apiece and are shipped in a container that weighs 7 kilograms when empty, then the total weight of container with toy cars is
2. The number of toy trucks is also x. Toy trucks, which weigh 2 kilograms apiece, are shipped in a container weighing 5 kilograms, then the total weight of container with toy trucks is
3. When packed with toys and ready for shipment, both kinds of containers have the same weight. Thus,
4. The weight of each container is
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To solve this equation , we need to write it in quadratic form
To get the equation in quadratic form we replace x^2 with u
can be written as
, Replace u for x^2
So equation becomes
Now we factor the left hand side
-16 and -1 are the two factors whose product is +16 and sum is -17
(u-16) (u-1) = 0
u -16 = 0 so u=16
u-1 =0 so u=1
WE assume u = x^2, Now we replace u with x^2
Now take square root on both sides , x= +4 and x=-4
Now take square root on both sides , x= +1 and x=-1
So zeros of the function are -4, -1, 1, 4