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strojnjashka [21]
3 years ago
15

The sqaure root of 130 falls between which consecutive numbers

Mathematics
1 answer:
den301095 [7]3 years ago
4 0
11 and 12 that’s the answer
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Factor completely: 3x2 + 12x + 7
zepelin [54]

Answer:

Step-by-step explanation:

Eliminate answer 4 immediately, because (4)(3) is not 7.

Look at answer 2:  7x + 3x = 10x, which does not match the middle term 12x in the original polynomial.  Eliminate answer 2.

Look at answer 1:  1x + 21x = 22x, which does not match the middle term of the original polynomial.   Eliminate answer 1.

All quadratics have solutions.  Let's apply the quadratic formula to 3x^2 + 12x + 7:  Here a = 3, b = 12 and c = 7, so that the discriminant b²-4ac is

12²-4(3)(7), or 144 - 84, or 60.  Being positive, this tells us that the given poly has two real, unequal roots:

      -12 ± √60        -12 + 2√15                     -12 - 2√15

x = ----------------- = -------------------  and   x = --------------------

            3                         3                                     3

Normally, if c is a root, then x - c is a factor.

If we try this here, however, the resulting factors do not at all match any of your answer choices.

Don't be offended...but please ensure you have copied this problem down correctly.

                                                           

3 0
3 years ago
Ms.Waddell put a 12-inch tall bucket under a leak in her sink. The bucket fills at a constant rate of 1/2 inch in every 1/6 of a
Angelina_Jolie [31]

Answer:

4 hours

Step-by-step explanation:

To solve this question you will simply make a ratio type equation. You know that every 1/6 of an hour, or every 10 minutes, the bucket will fill 1/2 an inch. The bucket is 12 inches tall.

\frac{10 min}{1/2 inch} = \frac{x min}{12 inches}

Cross multiply

120=\frac{1}{2} x

x=240 min

Convert minutes to inches

\frac{240 min}{1}  * \frac{1 hr}{60 min} = 4 hr

Final answer: 4 hours

Hope this helps!

8 0
4 years ago
Please Help , Thank You
olya-2409 [2.1K]
I'll go with A and B 

Hope this helps 
6 0
4 years ago
Read 2 more answers
Solve<br> 4(x + 3) = 6<br><br> Make x the subject
Irina-Kira [14]

Answer:

x = -3/2

Step-by-step explanation:

4(x + 3) = 6

4x + 12 = 6

4x = 6 - 12

4x = -6

x = -6/4

x = -3/2

5 0
3 years ago
Read 2 more answers
Vicki is 5 years older than twice Ella's age, a.
Anettt [7]

Answer:

5+3a=29

Step-by-step explanation:

let Ella's age be 'a'

Vicki's age=5+2a

sum of their ages= 29

So, the equation is

  (5+2a)+a=29

       5+3a=29

<em>hope this helps!</em>

8 0
3 years ago
Read 2 more answers
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