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Sati [7]
3 years ago
10

I need your help! Solve these inequation : a)3x^2-x+1>0 b)2x^2-5x+4<0

Mathematics
1 answer:
Elena-2011 [213]3 years ago
3 0

a: All real numbers

b: (0,\frac{5}{4}

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Sliva [168]

Answer:

The volume increases by a factor or 64. When the cube is dilated, each side length is increased by 4, so the volume is increased by 64.

Step-by-step explanation:

Let L represents the Length of the cube before it's dilated.

Volume, V1 = Length * Length * Length

Volume, V1 = L * L * L

Volume, V1 = L³

When the cube is dilated by a factor of 4.

The new Length becomes 4L.

The new volume is calculated as thus.

New Volume, V2 = 4L * 4L * 4L

New Volume, V2 = 64L³

Dividing the new volume by the old volume gives the increment factor.

Factor = New Volume ÷ Old Volume

Factor = V2/V1

Factor = 64L³/L³

Factor = 64.

Hence, when the sides of the cube is dilated by 4, the volume increases by a factor of 64.

Filling the gap of the given sentence;

"The volume increases by a factor or 64. When the cube is dilated, each side length is increased by 4, so the volume is increased by 64"

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Answer:

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3 years ago
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I ran 10 miles in 2 hours. What was my average speed?
gogolik [260]

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5mph

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10/2 = 5

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Which number produces an irrational number when added to 0.4
erastovalidia [21]

Answer:

0.31311311131111....

Step-by-step explanation:

We need to tell a number which when adds to 0.4 makes it a Irrational Number . We know that ,

<u>Rational</u><u> number</u><u> </u><u>:</u><u>-</u> The number in the form of p/q where p and q are integers and q is not equal to zero is called a Rational number .

<u>Irrational</u><u> number</u><u> </u><u>:</u><u>-</u> Non terminating and non repeating decimals are called irrational number .

Recall the property that :-

<u>Property</u><u> </u><u>:</u><u>-</u><u> </u> Sum of a Rational Number and a Irrational number is Irrational .

So basically here we can add any Irrational number to 0.4 to make it Irrational . One Irrational number is ,

\rm\implies Irrational\ Number = 0.31311311131111...

So when we add this to 0.4 , the result will be Irrational . That is ,

\rm\implies 0.4 + 0.31311311131111 ... = 0.731311311131111 ..

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3 years ago
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Felix has $50 in a savings account that earns 5% interest, compounded annually. To the nearest cent, how much interest will he e
qwelly [4]

Answer:

$55.13

Step-by-step explanation:

50 * 1.05 = 52.5

<em>We do this step twice because the interest is for </em><em>2 years.</em>

52.5 * 1.05 = 55.125

<em>This rounds up to 55.13, your final answer!</em>

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