Answer:
Sybil may have confused the units, since 65 centimetres is 6.5 meters The correct length of the desk in meters is 0.65 because a centimetre is 0.01 of a meter.
Step-by-step explanation:
Her desk is actually 65 centimetre long . She made an error and conclude the length of her desk is 6.5 meter long. She made a mistake in her conversion .
1 centimetre = 0.01 meters
65 centimetres = ? meters
cross multiply
65 × 0.01 = 0.65 meters
A centimetre is equal to 0.01 meters. Therefore, using that conversion rate 65 centimetres will evaluate to 0.65 meters.
The actual length of her desk in meters is 0.65. She made an error when converting her desk length from centimetres to meters.
8x^2-3 = sqrt(16x+9)
[8x^2-3]^2 = [sqrt(16x+9)]^2 ... square both sides
64x^4-48x^2+9 = 16x+9
64x^4-48x^2+9-16x-9 = 0
64x^4-48x^2-16x = 0
16x(4x^3-3x-1) = 0
16x(x-1)(2x+1)^2 = 0
16x=0 or x-1=0 or (2x+1)^2 = 0
x=0 or x=1 or x = -1/2
The possible solutions are x=0 or x=1 or x = -1/2
We need to check all the possible solutions
Checking x=0
8x^2-3 = sqrt(16x+9)
8(0)^2-3 = sqrt(16*0+9)
-3 = 3
The equation is false so x=0 is extraneous (not a real solution)
Checking x=1
8x^2-3 = sqrt(16x+9)
8(1)^2-3 = sqrt(16*1+9)
5 = 5
Equation is true. The value x=1 is a solution
Checking x=-1/2
8x^2-3 = sqrt(16x+9)
8(-1/2)^2-3 = sqrt(16(-1/2)+9)
-1 = 1
The equation is false so x=-1/2 is extraneous (not a real solution)
Therefore, the only answer is choice A) 1
True a function is a rule that assigns each input exactly one output.
Answer:
2cm
Step-by-step explanation:
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