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Firdavs [7]
3 years ago
8

What is the value of the expression All of 4.8 multiplied by 10 to the power 9 over all of 1.6 multiplied by 10 to the power 3

Mathematics
1 answer:
Anvisha [2.4K]3 years ago
8 0
4.8(10^9)/(1.6(10^3))

Pertinent quotient rule for similar bases with exponents...

(a^b)/(a^c)=a^(b-c)  so what you really have is:

(4.8/1.6)(10^(9-3))

3(10^6)

3X10^6

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3926%13. I got 309 r9. What is it and what did I do wrong.
kondaur [170]
3926/13 =302 but I'm not 100% sure where you went wrong do you have any work?


6 0
3 years ago
What is the expression is factored form? X^2 + 14x + 48
galben [10]

Answer:

Factored form of the expression is ( x+ 8)(x + 6).

Step-by-step explanation:

The given expression is x² + 14x + 48.

We have to convert the expression in factored form

x² + 14x + 48 = x² + 8x +6x + 48

= x(x + 8) + 6(x + 8) = (x + 8)(x + 6)

Therefore the factored form of the expression is (x + 8)(x + 6).

6 0
3 years ago
Read 2 more answers
Which of the expressions below has a 1 in the thousandths place of the sum? Select all that apply. A) 32.474 + 16.577 B) 23.452
Paraphin [41]

Answer:

A) 32.474 + 16.577

     = 49.051

C) 19.213 + 4.578

     = 23.791

Step-by-step explanation:

Place value may be defined as the positional system of a notation where the position of any number with reference to the decimal point determines the value of that number.

A) 32.474 + 16.577

     = 49.051

B) 23.452 + 31.561

   = 55.013

C) 19.213 + 4.578

     = 23.791

D) 8.128 + 9.192

   = 17.32

We have to find the expression which contains 1 in the thousandths place in the sum.

We know after the decimal point, the place value are designated as tenths, hundredths, thousandths, and so on.

Therefore, A). 49.051 and C). 23.791 has a place value of 1 in its thousandths place.

6 0
3 years ago
Write a number in which the digit 3 is ten times the value of the digit 3 in 9.431
IgorC [24]

Answer:

Step-by-step explanation:

One number would be

9.31

The 3 in this number is 3/10

The 3 in the given number is 3/100

3/10 is 10 times bigger than 3/100

3/10 = 0.3

3/100 = 0.03

0.03 * x = 0.3                   Divide both sides by 0.03

0.03/0.03 x = 0.3/0.03

x = 10

6 0
3 years ago
If α and β are the zeros of the quadratic polynomial f(x) = 3x2–4x + 5, find a polynomialwhose zeros are 2α + 3β and 3α + 2β.
Lelechka [254]

Answer:

\boxed{\sf \ \ \ 3x^2-20x+37\ \ \ }

Step-by-step explanation:

Hello,

a and b are the zeros, we can say that

f(x)=3(x^2-\dfrac{4}{3}x+\dfrac{5}{3}) = 3(x-a)(x-b)=3(x-(a+b)x+ab)

So we can say that

a+b=\dfrac{4}{3}\\ab=\dfrac{5}{3}

Now, we are looking for a polynomial where zeros are 2a+3b and 3a+2b

for instance we can write

(x-2a-3b)(x-3a-2b)=x^2-(2a+3b+3a+2b)x+(2a+3b)(3a+2b)\\= x^2-5(a+b)x+6a^2+6b^2+9ab+4ab

and we can notice that

a^2+b^2=(a+b)^2-2ab so

(x-2a-3b)(x-3a-2b)=x^2-5(a+b)x+6[(a+b)2-2ab]+13ab\\= x^2-5(a+b)x+6(a+b)^2+ab

it comes

x^2-5*\dfrac{4}{3}x+6(\dfrac{4}{3})^2+\dfrac{5}{3}

multiply by 3

3x^2-20x+2*16+5=3x^2-20x+37

4 0
3 years ago
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