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Maksim231197 [3]
2 years ago
8

Which statement is correct?

Mathematics
1 answer:
ella [17]2 years ago
6 0

Answer:

The second and third equations are correct.  

Step-by-step explanation:

Note that the equations are all the same, with the exception of the math operation (=,>,<,\leq, etc.).  Let's do one calculation and then decide which of the statements is true.

The components may be simplified by separating the numbers from the exponents and doing the calculations separately:

(2.06x10^-2)(1.88x10^-1)  becomes (2.06*1.88)*(10^-2 * 10^-1)

Left Side:

(2.06*1.88) = 3.91

(10^-2 * 10^-1) = 10^-3  [The exponents add when multiplying]

(2.06x10^-2)(1.88x10^-1) = 3.91x10^-3

Right side:

(7.69/2.3) = 3.343

(10^-2)/(10^-5) = 10^3  [The bottom exponent is subtracted from the top. ( -2 - (-5)) = 3   ]

(7.69x10^-2)/(2.3x10^-5) = 3.343x10^3

For all equations:

LEFT                    RIGHT

3.91x10^-3       3.343x10^3

We can now answer the question.  Is the left side (3.91x10^-3 )      

A.  <

B.  =>

C.  >, or

D.  =

to the right side (3.343x10^3)

We can drop the 10^-3 to make the comparison simpler, since it is the same on both sides.  Think of it as dividing both sides by 10^3.

                                             Correct?

A.    3.91   <   3.34                NO

B.     3.91 =>  3.34                YES  

C.    3.91  >    3.34, or          YES

D.    3.91  =    3.34                NO

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4. Determine the following difference. (2x² + 3x - 10) - (x² - x + 111)  please explain
SIZIF [17.4K]
Hi there! The answer is A.

(2x² + 3x - 10) - (x² - x + 111) 
Let's solve this problem step by step!

First work out the parenthesis. Because we multiply by negative 1, we mustn't forget to change the symbols in front of the factors.
2x² + 3x - 10 - x² + x - 111

Now rearrange our expression, in order to collect the terms later.
2x² - x² + x + 3x - 10 - 111

And finally collect the terms.
x² + 4x -121

The answer is A.
~ Hope this helps you!
8 0
3 years ago
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50 points if you answer correctly
rewona [7]

Answer:

f(3) =  {3}^{2}  + 5(3) - 9 \\ f(3) = 9 + 15 - 9 \\ f(3) = 15

3 0
3 years ago
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Not really getting this can someone plz explain.
Komok [63]

your answer would be b becuase that is 3/6 so thats half and ou would simply it and 1/4 do the same

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3 years ago
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Answer

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5. x ^ 2 - 11x - 42 < 0

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2 years ago
If a=under root s(s-a)(s-b)(s-c) then the value of a, when a =3 b =4c = 5 and s =a+b+c by 2
kramer

Answer:

6

Step-by-step explanation:

Here it's given that ,

\sf\red{\longrightarrow} A=\sqrt{s(s-a)(s-b)(s-c)}

Also ,

\sf\red{\longrightarrow} s =\dfrac{a+b+c}{2}

And we need to find out the value of A , when

  • a = 3
  • b = 4
  • c = 5

So , on substituting the respective values to find s we have ,

\sf\red{\longrightarrow} s =\dfrac{3+4+5}{2}=\dfrac{12}{2}=\bf{6}

Now let's find out A as ,

\sf\red{\longrightarrow} A = \sqrt{6(6-3)(6-4)(6-5)} \\

\sf\red{\longrightarrow}A =\sqrt{6 * 3 * 2 * 1}\\

\sf\red{\longrightarrow} A = \sqrt{3^2 * 2^2 *1^2}\\

\sf\red{\longrightarrow}A = 3*2\\

\sf\red{\longrightarrow}\boxed{\qquad \blue{\bf A = 6 \qquad}}

7 0
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