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saul85 [17]
3 years ago
10

Simplify completely: Show all work for full credit.

Mathematics
1 answer:
solong [7]3 years ago
6 0

Answer:

3 {x}^{3}

Step-by-step explanation:

( \frac{81 {x}^{12} }{3 {x}^{3} }  {)}^{ \frac{1}{3} }

( \frac{27 {x}^{12} }{ {x}^{3} }  {)}^{ \frac{1}{3} }  = (27 {x}^{9}  {)}^{ \frac{1}{3} }

\sqrt[3]{27 {x}^{9} }

= 3 {x}^{3}

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I have included a picture of the equation <br><br>​
Alchen [17]

Answer:

it's c , x= 1.5 or -4

2x^2 + 5x - 12 = 0

First factor the left side of the equation

(2x-3)(x+4)=0

Second, set the factors equal to 0

2x-3=0 or x+4=0

 +3  +3       -4  -4

2x=3           -4

divide both side by 2 and you get 3/2 which equals 1.5

x=1.5 or x= -4

3 0
2 years ago
manager needs to buy chairs for his office the price for 1 chair is 79.99 dollars. If the manager buys 2 or more chairs then he
artcher [175]
1 chair is 79.99
40% discount
79.99 ÷ 100 =0.7999
0.7999 × 60 = 47.994
47.994 rounded down is $47.99
79.99-47.99=30.00
he saved $30
3 0
3 years ago
Martin has 48 blue balloons and 36 orange balloons. He separates the balloons into mixed groups of blue and orange. There at the
Phantasy [73]

C. Hope this helps ya


3 0
3 years ago
4. Diego is thinking of two positive numbers. He says, "If we triple the first number and
aleksandr82 [10.1K]

Answer:

3<em>x </em>+ 2<em>y</em> = 34. and two possible pairs of positive numbers are  (<em>x</em>, <em>y</em>) = (10, 2) and (<em>x</em>, <em>y</em>) = (4, 11).

Step-by-step explanation:

 Let the First positive number be <em>x</em> and second positive number be <em>y.</em>

Triple of first number = 3<em>x</em>

double of second number = 2<em>y</em>

According to question,

3<em>x </em>+ 2<em>y</em> = 34

Therefore, the equation is 3<em>x </em>+ 2<em>y</em> = 34

So the two possible pair of numbers Diego would be thinking of must satisfy the equation 3<em>x </em>+ 2<em>y</em> = 34

Now,  3<em>x </em>+ 2<em>y</em> = 34

3<em>x </em>= 34 - 2<em>y</em>

Let x = 10 and by substituting its value in above expression,

3 \times 10 = 34 - 2y

30 = 34 - 2y

2y = 34 - 30

2y = 4

y = 2

Therefore first pair (<em>x</em>, <em>y</em>) = (10, 2)

In the same way put x = 4 then,

3<em>x </em>= 34 - 2<em>y</em>

3 \times 4 = 34 - 2y

2y = 34 - 12

2y = 22

y = 11

Therefore first pair (<em>x</em>, <em>y</em>) = (4, 11)

Therefore, (<em>x</em>, <em>y</em>) = (4, 11) and  (<em>x</em>, <em>y</em>) = (10, 2) are the two possible pairs of numbers Diego could be thinking of as these both values satisfy the equation 3<em>x </em>+ 2<em>y</em> = 34.  

8 0
2 years ago
Oranges cost $3.60 per dozen how much does 1 cost?
castortr0y [4]

If 6 oranges cost 3.60 than one orange costs .60. To find, divide total price by number of oranges.

3.60/6 = .60

There is no set of pound in a gallon because we do not know the substance. Different liquids weigh different amounts.

3.5 gallons is equal to 448 ounces. To find, multiply the number of gallons (3.5) by the amount of ounces in a gallon (128)

3.5 * 128 = 448

Pound and pints are like gallons and pound. Unless we know the substance we cannot solve.

.75 pints is equal to 12 ounces. To find that, we multiply the number of pints (.75) by the number of ounces in a pint (16)

.75 * 16 = 12

6 0
2 years ago
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