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3 years ago

X^2-x-12/2x^2+2x-12 =? Please with a clear explanation..Thank You.

1 answer:

8 0

For x^2 - x - 12, the discriminant is ( - 1 ) ^2 - 4 * 1 * ( -12 ) = 49 => sqrt(49) = 7 =>
x1 = ( 1 + 7 ) / 2 = 4 and x2 = ( 1 - 7 ) / 2 => x2 = - 3 =>
x^2 - x - 12 = ( x - 4 )( x + 3 ) ;

In the same way, 2x^2+2x-12 = 2( x - 2 )( x + 3 );Then , (X^2-x-12) / (2x^2+2x-12) ==[ ( x - 4 )( x + 3 )] / [2( x - 2 )( x + 3 )] => ( x - 4 ) / ( 2x - 4 ), where x isn' t 2 or - 3.

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a spherical storage tank has a diameter of 24 ft and is full of water. how many delivery trucks with a cylindrical tanks measuri

lbvjy [14]

Diameter of the spherical storage tank = 24 ft

So, radius of the tank = $\frac{24}{2}=12$ ft

Volume of the spherical tank = 4/3 * PI * r³

= $\frac{4}{3}\times3.14\times12\times12\times12$

= 7234.56 cubic feet

Diameter of cylindrical tank = 4 ft

So, radius = $\frac{4}{2}=2$ ft

Height of cylindrical tank = 10 ft

Volume of cylindrical tank = PI * r² * h

= $3.14\times2\times2\times10=125.60$ cubic feet

So, the number of cylindrical tanks that can be filled from the spherical tank are =

$\frac{7234.56}{125.60}=57.6$

Hence, 57 cylindrical tanks can be completely filled from the big spherical tank.

4 0

3 years ago

Can someone answer this please: 37.3 rounded to the nearest integer<br><br>thank you <3

Elenna [48]

Answer:37

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

A table of data is given.

Alecsey [184]

The exponential model best represents the data is B. f(x) = 5(0.2)^x

<h3>How to determine the exponential model?</h3>

From the table of values, we have the following points:

(x, y) = (0,5) and (1,1)

An exponential model is represented as:

y = ab^x

Substitute (x, y) = (0,5)

5 = ab^0

5 = a

This gives

a = 5

So, we have:

y = 5b^x

Substitute (x, y) = (1,1)

1 = 5b^1

This gives

5b = 1

Divide by 5

b = 0.2

Substitute b = 0.2 in y = 5b^x

y = 5(0.2)^x

Hence, the exponential model best represents the data is B. f(x) = 5(0.2)^x

Read more about exponential model at:

brainly.com/question/2456547

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8 0

2 years ago

Given six distinct pairs of gloves, 12 distinct gloves in all, how many ways are there to distribute two gloves to each of six s

noname [10]

a) if the two gloves someone receives might both be for the left hand or right hand.

b) if each sister gets one left and one right.

Soln:

a) So i thought about dissectng the problem first into finding the number of ways in which I could make pairs of gloves:

C(12, 2)

then I asked how many ways could the sets of gloves be assigned amongst the 6 sisters:

and taking the product of this would give me the amount of ways this could occur:

= C(12,2) * 6!

then for part b)

using this same idea except:

C(6,1) C(6,1) for the left and right glove each .

the C(6,1)*C(6,1)*6!

Right way to think them through?

7 0

4 years ago

Question 4 (5 points)

Inessa05 [86]

Answer:

Option C

Step-by-step explanation:

Given

Mean= μ=60

and

Standard Deviation= σ=5

In order to calculate the percentage of students between 55 and 65, we have to calculate z-score for both

z-score for 55=(55-60)/5

=(-5)/5

=-1

The area to the left of z-score -1 is 0.1587

z-score for 65=(65-60)/5

=5/5

The area to the left of z-score 1 is 0.8413

Area between z-scores of 55 and 65=0.8413-0.1587

=0.6826

Converting into percentage

=0.6826*100

=68.26%

Option C is the correct answer ..

4 0

3 years ago

Read 2 more answers