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Natali [406]
3 years ago
8

Element X decays radioactively with a half life of 10 minutes. If there are 510 grams

Mathematics
1 answer:
pishuonlain [190]3 years ago
7 0

Answer:

46 minutes

Step-by-step explanation:

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Write in standard form (×+4)(×-5)=4 find the value of a,b,c​
Alex17521 [72]

Answer:

x^{2} - x - 24 = 0

a = 1

b = 1

c = -24

Step-by-step explanation:

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

x(x - 5) = x^{2} - 5x

4(x - 5) = 4x - 20

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

x^{2} - x - 20 = 4

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

x^{2} - x - 24 = 0

a = 1

b = 1

c = -24

4 0
3 years ago
Division of whole numbers 3075 divided by 3
butalik [34]

Answer:

1025

Step-by-step explanation:

3075/3=1025

4 0
3 years ago
Which is a factor of the polynomial f(x) = 6x4 – 21x3 – 4x2 + 24x – 35?
QveST [7]
<span>I note that this problem starts out with "Which is a factor of ... "  This implies that you were given several answer choices.  If that's the case, it's unfortunate that you haven't shared them.

I thought I'd try finding roots of this function using synthetic division.  See below:

f(x) = 6x^4 – 21x^3 – 4x^2 + 24x – 35
Please use " ^ " to denote exponentiation.  Thanks.

Possible zeros of this poly are factors of 35:  plus or minus 1, plus or minus 5, plus or minus 7.  Use synthetic division; determine whether or not there is a non-zero remainder in each case.  If none of these work, form rational divisors from 35 and 6 and try them:  5/6, 7/6, 1/6, etc.

Provided that you have copied down the function 
</span>f(x) = 6x^4 – 21x^3 – 4x^2 + 24x – 35  properly, this approach will eventually turn up 1 or 2 zeros of this poly.  Obviously it'd be much easier if you'd check out the possible answers given you with this problem.

By graphing this function, I found that the graph crosses the x-axis at 7/2.  There is another root.

Using synth. div. to check whether or not 7/2 is a root:

         ___________________________
7/2   /   6    -21    -4    24    -35
                   21      0   -14     35           
        ----------- ------------------------------
           6        0     -4    10       0

Because the remainder is zero, 7/2 (or 3.5) is a root of the polynomial.  Thus, (x-3.5), or (x-7/2), is a factor.

7 0
3 years ago
Read 2 more answers
Montrey recently paid off his simple interest loan. If he borrowed $6,500 for 5 years at 7%, what was the total amount he had to
erica [24]

9514 1404 393

Answer:

  $8,775

Step-by-step explanation:

The amount due is given by the formula ...

  A = P(1 +rt)

where P is the principal amount, r is the annual rate, and t is the number of years.

  A = $6,500(1 +0.07×5) = $6,500(1.35) = $8,775

Montrey had to pay back $8,775.

6 0
3 years ago
What is the next step to10x-4(2x-9)​
bezimeni [28]
10x= -8x + 36
-8x -8x
———————-
2x= 36
— —
2 2


X=18
6 0
3 years ago
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