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vredina [299]
3 years ago
7

Which of the following are solutions to the equation below? Check all that apply . x ^ 2 + x - 20 = 0

Mathematics
1 answer:
Rina8888 [55]3 years ago
7 0

Answer:

x= -5     or    x  =  4

Solution Set = {-5, 4}

Step-by-step explanation:

x^{2} + x -20 = 0

x^{2} + 5x - 4x -20  = 0

(x^{2} + 5x) - (4x + 20)  = 0

x(x + 5) - 4(x + 5)  =  0

(x + 5)(x - 4)  = 0

x+ 5= 0     or    x - 4 = 0

x= -5     or    x  =  4

Solution Set = {-5, 4}

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Which of the following numbers can be expressed as repeating decimals? 3 over 7, 2 over 5, 3 over 4, 2 over 9
Maurinko [17]

Hello!

Let's think about the denominators we have. A seventh goes on forever in no specified order. A fifth an a fourth have set decimal values, 0.2 and 0.25, so they are not repeating decimals. A ninth is 0.111111..., it repeats like this forever in a specified order. Therefore, 2/9, or 0.222222...., would be a repeating decimal.

Therefore, our answer is \boxed {\frac{2}{9}}.

I hope this helps!

6 0
3 years ago
It will cost Amber an estimated $3,723 a year in tuition to attend her preferred college. She has been putting $350 a month in a
kenny6666 [7]

Answer:

Yes; she will have $4008 for other expenses.

Step-by-step explanation:

First you find out how much she saved by multiplying 350 by 36 as she saved for 3 years which is 36 months.

350 \times 36 = 12600

After that you need to work out the amount she needs in total for her tuition by multiplying 4 by 3723 which is the amount needed per year.

3723 \times 4 = 14892

If her parents add to her account half the amount she saved that means that they give her an additional 6300 as that's half of 12600.

This means she has 18900 and if you take away 14892 you will be left with 4008 for expenses.

4 0
3 years ago
Varia is studying abroad in Europe. She is required to pay $3500USD per year to the university, however she must pay in euros. H
Misha Larkins [42]
The answer would be 274.46 euros a month.

4 0
3 years ago
Hallar M x M / x + y =4​
hjlf

Answer:

M x M / x + y =4​

Step-by-step explanation:

6 0
3 years ago
2. The height of one square pyramid is 24 m. A similar pyramid has a height of 8 m. The volume of the larger pyramid is 648 m3.
Dmitrij [34]
Larger PyramidHeight 24 Volume 648

Pyramid Volume = (Area of the Base * Height) ÷ 3648 = Base Area * 24 / 3Base Area = 648 * 3 / 24Base Area = 648 / 8Base Area = 81Base Length = 9
a) The Scale Factor between the Small & Large PyramidLength - 3LATERAL Area - 9Volume - 27

Slant Height^2 = 4.5^2 + 24^2Slant Height^2 = <span> <span> 596.25 </span> </span> <span><span>Slant Height^2 = 24.4182308941 </span> </span>
b)
Large Pyramid Area = (½ * Perimeter of Base * Slant Height) + Base AreaLarge Pyramid Area = (.5 * 36 * <span>24.4182308941) + 81
</span>Large Pyramid Area = 439.5281560938 + 81
Large Pyramid TOTAL Area = <span> <span> 520.5281560938 </span> </span> <span>Large Pyramid LATERAL Area =<span> 439.5281560938 </span> </span>


**********************************************************************************c)
Smaller PyramidHeight 8Surface Area = 124
This pyramid has dimensions that are one third of the larger pyramid.Therefore, it has a base length of 3.Base Area = 9.
Its base perimeter would be 12.
Small Pyramid Volume = (Area of the Base * Height) ÷ 3Small Pyramid Volume = ( 9 * 8 ) / 3Small Pyramid Volume = 72 / 3
c) Small Pyramid Volume =24 cubic meters

d) Ratio of larger pyramid volume to smaller pyramid volume648 / 24 = 27The reason? Volume is a 3 dimensional quantity.  The Larger pyramid is 3 times larger in terms of the base measurement.9 meters vs 3 meters - a factor of 3When we compare volumes, we have to cube this factor.3^3 = 27

Source : http://www.1728.org/volpyrmd.htm

3 0
3 years ago
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