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zvonat [6]
3 years ago
11

For the equation 2(4x+10)=8x+k what value of k will create an equation with infinitely many solutions?

Mathematics
2 answers:
Komok [63]3 years ago
3 0
20; make both equations equal so whatever you plug in for x will be the same 
2(4x+10)=8x+k
8x+20=8x+k
k=20
gregori [183]3 years ago
3 0
8x+k 20 2(4x+10)=8x+k
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Answer:

3rd option, y-1 = \frac{1}{2} (x-5)

Step-by-step explanation:

To find out which option is correct, we can write the equation in point-slope form ourselves.  

Use the point-slope formula y-y_1 = m (x-x_1) to write the equation in point-slope form. Substitute the m, x_1, and y_1 for real values.

Since m represents the slope, substitute \frac{1}{2} in its place. Since x_1 and y_1 represent the x and y values of a point the line intersects, substitute the x and y values of (5,1) into the formula as well. Substitute 5 for x_1 and 1 for y_1. This gives the following equation:

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Step-by-step explanation:

The expected payoff for Ann is that she loses the game, this is because only 5 out of the 20 sections allow Ann to win money, this is only 25% of the spinner. Meaning that 75% of the spinner will cause Ann to lose the game. Rolling two times increases the odds that she will lose the game. Since the greatest probability is that Ann will land on a section that causes her to lose the game, then this is the expected payoff.

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