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kkurt [141]
3 years ago
15

Solve the quadratic equation: 2(x-3)^2-24-0

Mathematics
1 answer:
Keith_Richards [23]3 years ago
7 0

Answer:

x=3+2×sqrt(3)

x=3-2×sqrt(3)

Step-by-step explanation:

2(x-3)²-24=0

2(x-3)²=24

(x-3)²=12

Case 1:

x-3=sqrt(12)=2×sqrt(3)

x=3+2×sqrt(3)

Case 2:

x-3=-sqrt(12)=-2×sqrt(3)

x=3-2×sqrt(3)

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Question 11
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Answer:

the trainee calculated the incorrect amount

It should be 0.5 mL

Step-by-step explanation:

The physician orders penicillin 500,000 units for a patient while the concentration of the drug you have is 1,000,000 units/ 1mL. It's clear that 1mL drug is too much for the patient since 1,000,000 units are higher than 500,000 units.  

The amount of penicillin in 1.5 mL will be definitely higher than 1,000,000 units, so it must be a lot higher than the physician's orders. We can roughly guess that the trainee draws an incorrect amount.

To calculate the exact volume you need, you have to divide the amount of the drug you need with the concentration of the drug. The calculation will be:

the volume needed = amount of the drug you need/ concentration of the drug

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8 0
3 years ago
Match the equation with the step needed to solve it.
viva [34]
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8 0
3 years ago
I don't understand this question can you help me please
Maslowich
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5 0
3 years ago
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One number is 4 more than another. The difference between their squares is 56. What are the numbers?
kompoz [17]

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3 0
3 years ago
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8..................................
ser-zykov [4K]

Answer:

The answer is 2x^{3}y^{-2}\sqrt{6}

Step-by-step explanation:

∵ √24 = 2√6

∵ \sqrt{x^{6}}=(x^{\frac{1}{2}})^{6}=x^{3}

∵ \sqrt{y^{-4}}=(y^{\frac{1}{2}})^{-4}=y^{-2}

∴ \sqrt{24x^{6}y^{-4}}=2x^{3}y^{-2}\sqrt{6}

5 0
3 years ago
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