How do I solve this?

Mathematics

1 answer:

Alex777 [14]1 year ago

5 0

Solution

for this case with the first table we can find the equation of the line using the following formula for the slope:

$m_1=\frac{y_2-y_1}{x_2-x_1}=\frac{0-2}{-1-0}=2$

And the y intercept would be b=2

Then the equation for the first equation is:

y= 2x +2

the second equation is given by:

y= -2x-2

then the best solution would be:

Function 1 has a positive slope and a positive y-intercept. Function2 has a negative slope and a negative y-intercept

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ValentinkaMS [17]

Answer:

Arranging the solutions from the least to the highest;

1. 1.743 x 10⁻²

2. 3.626 x 10⁻²

3. 4.64 x 10⁻²

4. 3.162 x 10²

5. 4.214 x 10³

Step-by-step explanation:

The solutions of the mathematical expression are calculated as follows;

$1. \ \ (4.3\times 10^6)(9.8\times 10^{-4}) = (4.3\times 9.8\times 10^{6-4}) = (42.14\times 10^2)= 4.214 \times 10^3$

$2. \ \ (2.9\times 10^7)(1.6\times 10^{-9}) = (2.9\times 1.6\times 10^{7-9}) = 4.64\times 10^{-2}$

$3. \ \ \frac{(4.7 \times 10^3)(8.6\times 10^{-7})}{(3.8\times 10^{-4})(6.1 \times 10^2)} = \frac{(4.7\times 8.6\times 10^{3-7})}{(3.8\times 6.1\times 10^{-4+2})} = \frac{4.042 \times 10^{-3}}{2.318\times 10^{-1}} = 1.743\times 10^{-2}$

$4. \ \ (4.9\times 10^3)(7.4\times 10^{-6}) = (4.9\times 7.4\times 10^{3-6}) = 3.626\times 10^{-2}$

$5. \ \ \frac{(3.9 \times 10^5)(8.7\times 10^{-3})}{(3.7\times 10^{-5})(2.9 \times 10^8)} = \frac{(3.9\times 8.7\times 10^{5-3})}{(3.7\times 2.9\times 10^{-4 +8 })} = \frac{3.393 \times 10^{-1}}{1.073\times 10^{-3}} = 3.162\times 10^{2}$