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Inga [223]
3 years ago
10

Rewrite 5/ 16 + 6/ 20 with a common denominator.

Mathematics
2 answers:
Troyanec [42]3 years ago
5 0
25/80 + 24/80 = 49/80. 16 and 20 both go into 80. !6 goes in 5 times so you multiply 5 by 5. 20 goes into 80 4 times so you multiply 4 by 4. 24/80 + 25/80 = 49/80.
Dahasolnce [82]3 years ago
5 0

Answer:

49/80

Step-by-step explanation:

For getting a common denominator, each term must be multiplied in numerator and denominator by the denominator of the other term.

For example:

  • The 5/16 term must be multiplied by 20 (both 5 and 16)
  • The 6/20 term must be multiplied by 16 (both 6 and 20)

The terms would be like this:

(5x20)/(16x20)+(6x16)/(20x16)

The result would be:

100/320+96/320

As common denominator is already obtained, the expression could be one.

(100+96)/320=196/320

Now, the previous expression could be simplified. If we divide the numerator and the denominator by 4, the following result is obtained:

(196/4)/(320/4)=49/80

The expression with common denominator would be: 49/80

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Write p(x) = 21 + 24x + 6x2 in vertex form.
Citrus2011 [14]

<u>ANSWER</u>

p(x)=-3+6(x+2)^2


<u>EXPLANATION</u>


The given function is


p(x)=21+24x+6x^2


We make the coefficient of x^2 unity by factoring 6 out of the last two terms to obtain;


p(x)=21+6(4x+x^2)


We now add and subtract half the coefficient of x multiplied by a factor of 6 to obtain;


p(x)=21-6(2)^2+6(2)^2+6(4x+x^2)


We now factor 6 out of the last two terms to get;


p(x)=21-6\times 4+6((2)^2+4x+x^2)


p(x)=21-24+6((2)^2+4x+x^2)


The quadratic trinomial in the parenthesis is now a perfect square.


p(x)=-3+6(x+2)^2


Hence the vertex form of the polynomial is


p(x)=6(x+2)^2-3









8 0
3 years ago
Read 2 more answers
Z-(-3/4)= 6 1/2 I need help quick
liraira [26]
If Z is the unknown, then
Z-(-3/4)= 6 1/2
Z+3/4= 6 1/2
Z= 6 1/2 - 3/4
Z= 23/4 = 5 3/4
7 0
3 years ago
Determine the asymptotes of the function: y=x^3-5x^2+4x-25/x^2-4x+3
igomit [66]

Answer:

Vertical A @ x=3 and x=1

Horizontal A nowhere since degree on top is higher than degree on bottom

Slant A @ y=x-1  

Step-by-step explanation:

I'm going to look for vertical first:

I'm going to factor the bottom first:  (x-3)(x-1)

So we have possible vertical asymptotes at x=3 and at x=1

To check I'm going to see if (x-3) is a factor of the top by plugging in 3 and seeing if I receive 0 (If I receive 0 then x=3 gives me a hole)

3^3-5(3)^2+4(3)-25=-31 so it isn't a factor of the top so you have a vertical asymptote at x=3

Let's check x=1

1^3-5(1)^2+4(1)-25=-25 so we have a vertical asymptote at x=1 also

There is no horizontal asymptote because degree of top is bigger than degree of bottom

There is a slant asympote because the degree of top is one more than degree of bottom (We can find this by doing long division)

                       x   -1

                --------------------------------------------------

x^2-4x+3 |      x^3-5x^2+4x-25

                  - ( x^3-4x^2+3x)

                   --------------------------------

                            -x^2 +x  -25

                       -   (-x^2+4x-3)

                          ---------------------

                                   -3x-22

So the slant asymptote is to x-1

8 0
3 years ago
What are the fractions from least to greatest <br><br><br> 2/3 2/9 5/6 11/18
Sunny_sXe [5.5K]
<span>Analogicaly as in the previous question - firstly let's find the common denominator for those fractions:

2/3 = 12/18
2/9 = 4/18
5/6 = 15/18
11/18 = 11/18 :)

From the least to the greatest:

2/9, 11/18, 2/3, 5/6</span>
3 0
3 years ago
Read 2 more answers
4) Haleakela is a 10,000 foot high dormant volcano on Maui, Hawaii. The peak is a horizontal distance of 30,000 feet from the oc
erma4kov [3.2K]

Answer:67 degrees

Step-by-step explanation:

7 0
3 years ago
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