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9 months ago

13

For which interval does this quadratic inequality hold true?

1 answer:

adoni [48]9 months ago

3 0

Answer:

D

Step-by-step explanation:

x²-4x-12≤0

x²-6x+2x-12≤0

x(x-6)+2(x-6)≤0

(x-6)(x+2)≤0

x=6,-2

∴ value of x lies between -2 & 6

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Melanie has a piece of cloth 12 and 1/3 yards long. How many 3/4 yard-long pieces can be cut from the cloth?

Harrizon [31]

This is a division problem. First, get 12 1/3 into fraction form instead of mixed number form to make your life easier;
$12 \frac{1}{3} = \frac{36}{3} + \frac{1}{3} = \frac{37}{3} 
$
Now, divide the two fractions. Since this is fraction division, the reciprocal is flipped and the two fractions multiplied.
$\frac{37}{3} * \frac{4}{3} = \frac{148}{9} = 16 \frac{4}{9} 
$
The answer from the fraction division is 16 and four-ninths, but because you need a whole number as an answer,
the answer is 16 pieces.

8 0

3 years ago

Read 2 more answers

Identify the surface with the given vector equation. r(s, t) = s sin 4t, s2, s cos 4t

k0ka [10]

Answer:

Circular paraboloid

Step-by-step explanation:

Given ,

$r(s,t)=ssin4t,s^2,scos4t$

Here, these are the respective $x,y,z$ axes components.

<em>Component along x axis $r_i : ssin4t$ </em>

<em>Component along y axis $r_j : s^2$ </em>

<em>Component along z axis $r_k : scos4t$ </em>

We see that , from the parameterised equation , $r_i^2+r_k^2=s^2sin^24t+s^2cos^24t\\r_i^2+r_k^2=s^2\\r_i^2+r_k^2=r_j$

This can also be written as :

$x^2+z^2=y$

This is similar to an equation of a parabola in 1 Dimension.

By fixing the value of z=0,

<u><em>We get $y=x^2$ which is equation of a parabola curving towards the positive infinity of y-axis and in the x-y plane.</em></u>

By fixing the value of x=0,

<u><em>We get $y=z^2$ which is equation of a parabola curving towards positive infinity of y-axis and in the y-z plane. </em></u>

Thus by fixing the values of x and z alternatively , we get a <u>CIRCULAR PARABOLOID. </u>

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3 years ago

The Large square represents one whole.<br> 3.74 - 1.53 = ?

qwelly [4]

Answer:

2.21

Step-by-step explanation:

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3 years ago

There are (49)5 ⋅ 40 books at the library. What is the total number of books at the library?

ANTONII [103]

(4^9)5 X 4^0
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2 years ago

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jek_recluse [69]

The answer would be 362 miles

add the number of miles from day one and day two

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2 years ago