Answer:Jason’s salary depends on the number of hours he works. The independent variable is the number of hours and the dependent variable is salary. Let x = the number of hours worked Let y = Jason’s salary The set of ordered pairs {(1, 10), (2, 20), (3, 30), (4, 40), (5, 50)} can be used to represent the function, assuming Jason earns $10 per hour The number of hours the train takes depends on the distance. The distance is independent and the number of hours is dependent. {(2,20)(4,40)(6,60)(8,80)(10,100)} For every 2 hours it takes 20 miles. The amount of money depends on the time worked.
Step-by-step explanation:
Answer:
-11xy-14y+4x
Step-by-step explanation:
With any parallelogram, the diagonals bisect each other. This is another way of saying that they cut each other in half.
FH is one diagonal that is split into two equal pieces by the other diagonal EG.
The two parts of FH (KH and KF) are congruent to each other, so KH = KF. They combine back to FH
By the segment addition postulate
KH + KF = FH
KH + KH = FH .... KF has been replaced with KH (works because KF = KH)
2*KH = FH
Now use substitution
2*KH = FH
2*15 = FH .... replace KH with 15 (since KH = 15)
2*15 = 4x-2 ... replace FH with 4x-2 (since FH = 4x-2)
and solve for x
2*15 = 4x-2
30 = 4x-2
30+2 = 4x-2+2 ... add 2 to both sides
32 = 4x
4x = 32
4x/4 = 32/4 ... divide both sides by 4
x = 8
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Answer: x = 8
18x² - 60x + 50
= 2 (9x² - 30x + 25 ) ⇒⇒⇒ take 2 as common from all terms
note: 9x² = 3x * 3x and 25 = 5*5 and 3x * 5 *2 = 30x
so, this is a complete square
= 2(3x-5)(3x-5)
= 2(3x-5)²
Answer:
(3x - 3)(x - 2)
Step-by-step explanation:
3x² - 9x + 6
3x² - 6x - 3x + 6
3x(x - 2) - 3(x - 2)
<em><u>(3x - 3)(x - 2)</u></em>