Which expression is equvialent to 2x2 + (4x-6x2) + 9 - (6x+3)?

1 answer:

5 0

Hello there!

The correct answer is option B

2x² + (4x - 6x²) + 9 - (6x + 3)

Just take them out of the parentheses

2x² + 4x - 6x² + 9 -6x - 3

Combine like terms

2x² - 6x² + 4x - 6x - 3 + 9

= -4x² - 2x + 6

Thus,

The correct answer is option B

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Dr.Lamb is mixing a solution for his next patient. He has a cylindrical test tube which is 4 inches across on the inside. The de

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Answer: There are 34.35 liters left in the test tube.

Step-by-step explanation:

Since we have given that

Depth of the tube = 9 inches

Circumference of base=4 inches

As we know the formula of circumference ,

$Circumference=2\pi r\\\\4=2\times \frac{22}{7}\times r\\\\4\times{7}{22\times 2}=r\\\\\frac{7}{11}=r$

Now, we need to find the volume of tube is given by

$\text{ Volume of test tube }=\pi r^2h\\\\\text{ Volume of test tube }=\frac{22}{7}\times \frac{7}{11}\times \frac{7}{11}\times 9\\\\\text{ Volume of test tube }=\frac{126}{11}=11.45\ inches^3$

Since we have also given that,

Of 1 cubic inch of space holds 3 liters of water,

So,

$1\text{ cubic inch}=3\text{ liters}\\\\11.45\text{ cubic inches}=3\times 11.45=34.35\text{ liters}$

Hence, there are 34.35 liters left in the test tube.

6 0

2 years ago

[tex]\sqrt{x} 196<br> can someone help me

Maslowich

Answer:

Step-by-step explanation:

√196

Calculate the square root of 196 and get 14.

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2 years ago

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Solve x2 + 2x + 9 = 0

Keith_Richards [23]

$x^2+2x+9=0 \\ \\
a=1 \\ b=2 \\ c=9 \\ b^2-4ac=2^2-4 \times 1 \times 9=4-36=-32 \\ \\
x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}=\frac{-2 \pm \sqrt{-32}}{2 \times 1}=\frac{-2 \pm \sqrt{-16 \times 2}}{2}=\frac{-2 \pm 4i\sqrt{2}}{2}=-1 \pm 2i\sqrt{2}$

The answer is D.

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What is the difference between -17 and -7

kari74 [83]

Answer: -10

Step-by-step explanation:

Difference between -17 & -7 should be

-17 - (-7)

-10

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3 years ago