Answer:
Step-by-step explanation:
Remember the general form of a linear equartion: y=mx + b, where m is the slope and b is the y-intercept (the value of y when x = 0).
The equation of line v (y=9x+1) has a slope of 9. A perpendicular line with have a slope equal to the negative inverse of the reference line. So the line we want will have a slope of -(1/9). That gives us y = -(1/9)x + b. Any vale of b will produce a line that is perpendicular. But we want a line that goes through point (3,-2). All we need to do is find a value for b that will make that wish come true.
Use the point (3,-2) in y = -(1/9)x + b and solve for b:
y = -(1/9)x + b
-2 = -(1/9)*(3) + b
-2 = -(1/3) + b
b = - 1 2/3, or -(5/3)
The equation is y = -(1/9)x + - (5/3)
Answer:
Step-by-step explanation:
i think either b or c
Answer:
22 boxes were lost. Look for the happy squirrels.
Step-by-step explanation:
Let x be the number of lost boxes. David Express should expect to receive $25 for each of the 325 boxes of apples. That means:
($25)*(325) = $8125
The loss of a box means that the delivery fee would be forfeited, which would amount to: x*($25)
But a compensation fee of $75/box also applies, so the total loss to the income would be x*($25+$75) or x*($100). This would be subtracted from the total expected income of $8125:
Resulting Income: $8125 - ($100)x = $5925
$8125 - ($100)x = $5925
$8125 - ($100)x = $5925
-100x = -2200
x = 22 boxes were lost. Zounds! [A metric term for %$%^&]
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<u>Check:</u> Does the loss of 22 of the 325 boxes result in a total payment of $5925?
Delivered boxes: (325 - 22) = 303 boxes delivered. 303*$25 = $7575
Penalty of $75 per lost box: 22*($75) = $1650
Result: $7575 - $1650 = $5925 <u>YES</u>
