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3 years ago

Which fraction is equivalent to ? 7/10 cup 7/9 cup 7/7 cup 7/1 cup

Mathematics

1 answer:

polet [3.4K]3 years ago

3 0

14/20
14/18
1
7
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12) Write the equation of a rational function

aev [14]

Answer:

$\frac{4(x - 5)(x + 7)(x - 12)}{(x + 1)(x)(x - 12)}$

Step-by-step explanation:

A rational function is

$\frac{p(x)}{q(x)}$

where q(x) doesn't equal zero.

If p is a asymptote, or hole at that value, then we will use

$(x - p)$

Step 1: We have asymptote as 0 and -1 so our denomiator will include

$(x - 0)(x - ( - 1)$

Which is

$(x)(x + 1)$

So our denomator so far is

$\frac{p(x)}{x(x + 1)}$

Step 2: Find Holes.

Since 12 is the value of the hole,

$(x - 12)$

is a the binomial.

This will be both on the numerator and denomator so qe have

$\frac{(x - 12)}{x(x + 1)(x - 12)}$

Step 3: Put the x intercepts in the numerator.

Since 5 and -7 is the intercepts,

$\frac{(x - 12)(x - 5)(x + 7)}{x(x + 1)(x - 12)}$

Step 4: Horinzontal Asymptotes,

Multiply the numerator and denomiator out fully,

$\frac{ {x}^{3} - 10 {x}^{2} - 59x + 420 }{ {x}^{3} - 12 {x}^{2} + x - 12}$

Take a L

look at the coefficients,

Notice they have the same degree,3, this means if we divide the leading coefficents, we will get our horinzonral asymptote.

Multiply the numerator by 4.

$\frac{4(x - 12)(x - 5)(x - 7)}{x(x + 1)(x - 12)}$

Above is the function,

5 0

3 years ago

The short sides of a rectangle are 2 inches. The long sides of the same rectangle are three less than an unknown

Brums [2.3K]

Answer:

The first student is correct

Step-by-step explanation:

With the given information there is already 4 inches on the rectangle. 13 x2 = 26. 26+4=30. For student two if the unknown number was 10 it would not work because the longest side is 3 less then the unknown number. 10-3=7. 7x2=14. 14+4= 28<30

8 0

3 years ago

The mean of x y and z is 20. find the mean of x-5 y+4 z-5

Dafna11 [192]

Answer:

Step-by-step explanation:

Sum of x, y and z = 20 × 3

= 60

x-5+y+4+z-5 = 60-5+4-5

= 54

Mean of x-5, y+4 and z-5

= 54 ÷ 3

= 18

7 0

2 years ago

Clara ran 10 miles, which was twice as far as Nina ran. How far did Nina run?

Anarel [89]

Nina would have ran 5 miles because if clara ran 10 and thats twice as far as nina 10 divided by 2 is 5

4 0

3 years ago

The perimeter of a square in which A=169cm square root 2?

sergey [27]

I'm guessing you mean:
$A = 169 \sqrt{2}$

If not, correct me.

So, then the perimeter of a square is just 4*A, which in this case would be:
$4(169 \sqrt{2}) = 676 \sqrt{2}$

And that would be your answer: $676 \sqrt{2}$ units²

7 0

3 years ago