Answer:
4x² -20x +61
Step-by-step explanation:
the quadratic equation can be written as (x-root1)(x-root2)
(x-(5/2) -3i) (x-(5/2)+3i), distribute
x² -(5/2)x +3xi -(5/2)x + 25/4 -(15/2)i -3xi +(15/2)i -9i², simplify
x² -(5/2)x -(5/2)x + 25/4 -9i², use the fact that i² =(√-1)² = -1 and substitute i²
x² -(5/2)x -(5/2)x + 25/4 +9, combine like terms and rewrite 9 as 36/4
x² -(10/2)x +25/4 + 36/4, combine like terms and simplify
x² -5x +61/4 is the quadratic expression yet it does not have integer coefficients so multiply by 4 to have all coefficients integers
4x² -20x +61
Answer:
Step-by-step explanation:
Each child received two pieces.
So total pieces received by 4 children = 4*2 = 8
Total pieces = 10 + 8 = 18
<h3>hello!</h3>
Plug in the values of x and solve for y:-
y=5+4x
y=5+4(4)
y=5+16
y=21
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y=5+4x
y=5+5(5)
y=5+20
y=25
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y=5+4x
y=5+4(8)
y=5+32
y=37
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y=5+4x
y=5+4(10)
y=5+40
y=45
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<h3>note:-</h3>
Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)
$0.17 for every yard of string
Answer:
Step-by-step explanation:
6 and 3/4 shorter pieces
36 in =1yd
36*3=
Well 6*3= 18 carry the 1 then u have 3*3+1=10
Then that equals 108. So u have to dived next,
16/108=
This next step u have to do long division,
Put 16 on the outside and then put 108 in the inside, then ask yourself can 16 go int 10 it can’t, than u have 108 can this go into 16 yes it can go into 6 times so ur reminder is 12
16 divided by 4 over 12 divided by 4 = 4 over 3
4 divided by 3 = 1
4 divided by 3 = 1 1/3- this can reduced so
4 divided by 3 = 1.3333333 is ur answer
