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3 years ago

Solve for x

}^{2} = 7x + 2" alt="4 {x}^{2} = 7x + 2" align="absmiddle" class="latex-formula">

Mathematics

1 answer:

Alina [70]3 years ago

7 0

$\bf 4x^2=7x+2\implies 4x^2-7x-2=0\implies (4x+1)(x-2)=0 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ 4x\cdot x=\boxed{4x^2}~\hfill (1)(-2)=\boxed{-2}\hfill (4x\cdot -2)+(1\cdot x)=\boxed{-7x} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \begin{cases} 4x+1=0\implies 4x=-1\implies &x=-\cfrac{1}{4}\\[1em] x-2=0\implies &x=2 \end{cases}$

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aleksandr82 [10.1K]

Answer:A

Step-by-step explanation:

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The volume of a cylinder is 32.25 cubic inches. If a cone has the same height and radius as the cylinder, what is its volume?

Whitepunk [10]

This math question is under the Solid Mensuration topic. Let us recap the formulas of the volume of both the cylinder and the cone.
$V_{cylinder}= \pi r^2h$
$V_{cone}= \frac{1}{3} \pi r^{2}h$

So if the volume of the cylinder is 32.25 inches,
$32.25=V_{cylinder}$
Then,
$32.25= \pi r^2h$

So, to obtain the value of the volume of the cone is we simply multiply $\frac{1}{3}$ to both of the sides of the equation.
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3 years ago

92902 rounded to the nearest 10000

TEA [102]

Answer: The proper rounding of 92,902 is:

To the nearest 10,000: 90,000.

To the nearest 1,000: 93,000.

To the closest 100: 92,900.

Step-by-step explanation:

Rounding is a mathematical method used to approximate one number to another depending on whether you want to reach the tenth (10), hundredth (100), thousandth (1,000) or ten-thousandth (10,000), for this, we will take as an example the number given in the exercise: 92,902

If you were asked to round it to the nearest tenth, you will notice the last two numbers (02) these are closer to 0 than to the tenth 10, so 0 would be chosen and the rounded value would be 92,900.

In the case of rounding to the hundredth, you should look at the last three numbers (902), these are closer to the hundredth 900 than to the 000, so the value would be 92,900 again.

In the case of rounding to the thousandth, you should look at the last four numbers (2,902) which are closer to the thousandth 3,000 than 2,000, so the rounded value is 93,000.

I would like you to check this method with rounding to the ten thousandth, and tell me.

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Answer:

No Real Solutions.

Step-by-step explanation:

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Square on both sides,

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or,(x-5)=64(x-2)

or,x-5=64x-128

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If you plug x=41/21 in √(x-5)=8√(x-2) you do not get equals, so the problem has no real solutions.

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