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drek231 [11]
3 years ago
14

Write 9.36( repeating) as a mixed number in simplest form.

Mathematics
1 answer:
Deffense [45]3 years ago
3 0

Answer:

Step-by-step explanation:

9.36 is 9 9/25

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<img src="https://tex.z-dn.net/?f=%28x%5E%7B2%7D%20%2Bx-3%29%3A%20%28x%5E%7B2%7D%20-4%29%5Cgeq%201" id="TexFormula1" title="(x^{
Jlenok [28]

Answer:

x>2

Step-by-step explanation:

When given the following inequality;

(x^2+x-3):(x^2-4)\geq1

Rewrite in a fractional form so that it is easier to work with. Remember, a ratio is another way of expressing a fraction where the first term is the numerator (value over the fraction) and the second is the denominator(value under the fraction);

\frac{x^2+x-3}{x^2-4}\geq1

Now bring all of the terms to one side so that the other side is just a zero, use the idea of inverse operations to achieve this:

\frac{x^2+x-3}{x^2-4}-1\geq0

Convert the (1) to have the like denominator as the other term on the left side. Keep in mind, any term over itself is equal to (1);

\frac{x^2+x-3}{x^2-4}-\frac{x^2-4}{x^2-4}\geq0

Perform the operation on the other side distribute the negative sign and combine like terms;

\frac{(x^2+x-3)-(x^2-4)}{x^2-4}\geq0\\\\\frac{x^2+x-3-x^2+4}{x^2-4}\geq0\\\\\frac{x+1}{x^2-4}\geq0

Factor the equation so that one can find the intervales where the inequality is true;

\frac{x+1}{(x-2)(x+2)}\geq0

Solve to find the intervales when the equation is true. These intervales are the spaces between the zeros. The zeros of the inequality can be found using the zero product property (which states that any number times zero equals zero), these zeros are as follows;

-1, 2, -2

Therefore the intervales are the following, remember, the denominator cannot be zero, therefore some zeros are not included in the domain

x\leq-2\\-2

Substitute a value in these intervales to find out if the inequality is positive or negative, if it is positive then the interval is a solution, if it is negative then it is not a solution. This is because the inequality is greater than or equal to zero;

x\leq-2   -> negative

-2   -> neagtive

-1\leq x   -> neagtive

x>2   -> positive

Therefore, the solution to the inequality is the following;

x>2

6 0
2 years ago
What base-ten number is 14 tens and 4 ones?¿
MrMuchimi

Answer:144


Step-by-step explanation:


7 0
3 years ago
5. There are two kinds of products (called DA and GA) produced in your company every day. Alsothere are two kinds of materials (
chubhunter [2.5K]

Answer:

  • a) $56000
  • b) DA = 2, GA = 10

Step-by-step explanation:

<u>Given</u>

  • DA = A + B ⇒ $3000
  • GA = A + 2B ⇒ $5000
  • Number of A = 12
  • Number of B = 22

<u>We can see from the equations that</u>

  • GA - DA = B ⇒ $2000 and
  • A = $1000 and B = $2000 in terms of profit

<u>So greater use of unit B brings greater profit. We don't want any unit is left over, so get this equation.</u>

  • A + B = 12
  • A + 2B = 22

Is the equation set to indicate use of the units A and B

<u>Solving we get </u>

  • A = 2 and
  • B = 10

<u>It this case all the units are used and profit is maximum</u>

  • 2*$3000 + 10*$5000 = $56000
  • Number of DA = 2
  • Number of GA = 10
8 0
3 years ago
SOMEONE PLEASE HELP ME ASAP PLEASE!!!​
melamori03 [73]

Answer:

3.6

Step-by-step explanation:

d = sqrt(3^2+2^2) = sqrt(13) = 3.6

7 0
3 years ago
There are 12 coins ; dimes and quarters. The number of dimes is 2 more than the number of quarters.
galben [10]

Answer:

D.  $1.95

F.  $3

Step-by-step explanation:

dimes:  x + 2

quarters:  x

x + 2 + x = 12

2x + 2 = 12

2x = 10

x = 5

dimes:  x + 2 = 5 + 2 = 7

quarters:  x = 5

Total value: (7 * .10) + (5 * .25) = $1.95

_____

dimes:  x

quarters:  2x

x + 2x = 15

3x = 15

x = 5

dimes:  x = 5

quarters:  2x = 2(5) = 10

Total value: (5 * .10) + (10 * .25) = $3

5 0
2 years ago
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