This is an exponential equation. We will solve in the following way. I do not have special symbols, functions and factors, so I work in this way
2 on (2x) - 5 2 on x + 4=0 =>. (2 on x)2 - 5 2 on x + 4=0 We will replace expression ( 2 on x) with variable t => 2 on x=t =. t2-5t+4=0 => This is quadratic equation and I solve this in the folowing way => t2-4t-t+4=0 => t(t-4) - (t-4)=0 => (t-4) (t-1)=0 => we conclude t-4=0 or t-1=0 => t'=4 and t"=1 now we will return t' => 2 on x' = 4 => 2 on x' = 2 on 2 => x'=2 we do the same with t" => 2 on x" = 1 => 2 on x' = 2 on 0 => x" = 0 ( we know that every number on 0 gives 1). Check 1: 2 on (2*2)-5*2 on 2 +4=0 => 2 on 4 - 5 * 4+4=0 => 16-20+4=0 =. 0=0 Identity proving solution.
Check 2: 2 on (2*0) - 5* 2 on 0 + 4=0 => 2 on 0 - 5 * 1 + 4=0 =>
1-5+4=0 => 0=0 Identity provin solution.

5 0

3 years ago

When you combine equations and both variables are eliminated and the result is a true statement, the system of equations has ___

Andrews [41]

One or a unique its the some thing

3 0

3 years ago

Look at this graph:

pickupchik [31]

<h3>Answer:</h3>

The Slope is $2$

<h2>Explanation:</h2>

Notice that both the points, $(60,0)$ and $(70,20)$ , are on the line. So we can use those points to calculate the slope. Recall that that slope of the line $m$ can be calculated by $\frac{y_2 -y_1}{x_2 -x_1}\\$ if we have the points, $(x_1,y_1)$ and $(x_2,y_2)$ .

<h3>Calculating for the slope of the line:</h3>

Given:

$(60,0)$

$(70,20)$

$m = \frac{20 -0}{70 -60} \\ m = \frac{20}{10} \\ m = 2$

3 0

3 years ago

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