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musickatia [10]
3 years ago
6

The area of a rectangle is 5x^3+19+6x-18 with length x + 3. Using synthetic division, what is the width of the rectangle?

Mathematics
2 answers:
adell [148]3 years ago
8 0
               5  19    6  -18
        -3     
                    -15 -12   18

                 5    4   -6    0

Therefore, the width is 5x^2 + 4x - 6
Alex3 years ago
5 0

Answer:

5x^2 + 4x - 6

Step-by-step explanation:

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Sally has six more 34 cent stamps than 52 cent stamps. If her stamps amount to 11.50 how many of each stamp does she have?
Yuliya22 [10]

Let x be the number of 52 cent stamps that Sally has and let y be the number of 34 cent stamps that she has.

Then,

52x + 34y = 1150 --- (1)

Also, she has six more 34 cent stamps than 52 cent stamps.

Therefore, y = x + 6

(1) becomes

52x + 34(x + 6) = 1150

52x + 34x + 204 = 1150

86x + 204 = 1150

86x = 1150 - 204

86x = 946

x = 11

and y = 11 + 6 = 17

Hence, Sally has eleven 52 cent stamps and seventeen 34 cent stamps.

6 0
3 years ago
Read 2 more answers
1 2/5m - 3/5 ( 2/5m + 1 )
Hunter-Best [27]

Answer:

1 4/25 - 3/5, or 29/25 - 3/5, or \frac{(29m - 15)}{25}

it doesn't really matter they all mean the same

Step-by-step explanation:

1 2/5m - 3/5(2/5m + 1)

multiply first

1 2/5m - 6/25m - 3/5

multiply 1 2/5 only so the denominator is 25 as we can't simplify 6/25, it's so we can add them together, we can't add 3/5 tho bc it's a different term so there's no need to multiply that.

1 10/25m - 6/25m - 3/5

add/subtract

1 4/25m - 3/5

4 0
2 years ago
Gas in Germany cost 1.50 euros per liter. how much is this in dollars per gallon
SIZIF [17.4K]
To solve this problem, you will have to first find how many US Dollars are in 1 Euro. Upon looking this up, I see that currently 1 Euro is worth 1.23 US Dollars. Next, you must calculate how many liters are in a gallon. Looking this up shows that 1 liter is equal to 0.264 gallons.

Since 0.264 is not a whole gallon and we are asked to find the price per gallon, we should next calculate how many liters can fit in a gallon. To do this, we will divide 1 by 0.264, which gives us 3.78. This tells us that 3.78 liters will fit into a gallon.

The cost of 1L of gas in euros is 1.50 Euros. Since we need 3.78L to equal 1 gallon, we can calculate the cost of this to be:

3.78 * 1.50 = €5.67

Earlier we determined that 1 euro is worth 1.23 US Dollars. Our final step is to convert our €5.67 per gallon to dollars per gallon. To do this, we simply have to multiply 5.67 by 1.23. This gives us $6.97.


So, our answer is that the cost is $6.97 per gallon.




Hopefully this is correct and makes sense to you. This is how I would approach the question.


3 0
3 years ago
Factor the expression completely I’ve the complex numbers X^4+10x^2+25
Elza [17]

We have

(a + b)² = a² + 2ab + b²

so that with a = x² and b = 5, we have

x⁴ + 10x² + 25 = (x² + 5)²

Next, we have

a² - b² = (a - b) (a + b)

so that with a = x and b = √5 i,

x² + 5 = x² - (-5) = (x - √5 i) (x + √5 i)

So, the complete factorization over the complexes is

(x - √5 i)² (x + √5 i)²

5 0
2 years ago
Triangle QRS is plotted in Quadrant I. After a 180° rotation about the origin, which quadrant would its image be? quadrant I qua
soldier1979 [14.2K]
Triangle QRS is plotted in Quadrant I. After a 180° rotation about the origin, which quadrant would its image be? quadrant III
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3 years ago
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