A = L * H
A = 65
L = 2H - 3
65 = H(2H - 3)
65 = 2H^2 - 3H
-2H^2 + 3H + 65 = 0
(-Hh + 13)(H + 5) = 0
-2H + 13 = 0
-2H = -13
H = -13/-2
H = 6.5 <== height is 6.5 inches
H + 5 = 0
H = -5....this wont work because it is negative
L = 2H - 3
L = 2(6.5) - 3
L = 13 - 3
L = 10 <== length is 10 inches
The extraneous solution of startroot 4 x 41 endroot = x 5 will be A. -8.
<h3>What is an extraneous solution?</h3>
It should be noted that an extraneous solution simply means a root of a transformed equation which isn't part of the original equation.
✓4x + 41 = x + 5
Square both sides
4x + 41 = x² + 10x + 25
x² + 6x - 16
x(x + 8) - 2(x + 8) = 0
x + 8 = 0
x= 0 + 8 = 8
Learn more about extraneous solution on:
brainly.com/question/295656
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Step-by-step explanation:
4y(3x+2)–2(3x+2)
(4y–2)(3x+2)
2(2y–1)(3x+2)
Important: Please express fractions properly: use the " / " symbol to represent division. Your question should read:
"<span>A Mallard duck flies 5/6 of a mile in 1/60 of a hour. Find the rate (speed) at which it flies."
To do this, divide the distance flown by the elapsed time:
5
5/6 mile -----
----------------- = -------6------------- miles / hr
1/60 hour </span>
1
-----
60
to divide 5/6 by 1/60, write 5/6 and multiply that by the reciprocal of 1/60.
In other words, write 5/6, invert (1/60) and then multiply.
This comes out to (5)(60)
---------- mph
(6)(1)
Do not multiply here. Instead, reduce 60/6 to 10/1.
Can you now write out the final answer, in mph? (miles per hour)
Answer:
612 Children's dresses
Step-by-step explanation:
837 + 958 = 1795
2407 - 1795 = 612
