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QveST [7]
3 years ago
5

For the equation 4(2x-4)=8x+k, what value of K will create an equation with infinitely many solutions? Please show steps

Mathematics
2 answers:
strojnjashka [21]3 years ago
6 0
If you use the distributive property, you will multiply 4 by 2x to get 8x and 4 by -4 to get -16.

8x-16=8x+k

If you want infinitely many solutions the equations on both sides of the equal sign need to be the same. So, k would need to be -16.
alina1380 [7]3 years ago
3 0

Hello!

Getting infinitely many solutions from an equation would be getting a solution that is true but does not include the value of a variable. An example of getting an equation with infinite solutions would be 1=1, or 15.6=15.6.

Let's try to get the same thing on both sides of the equation.

8x-16=8x+k

If we want to get the other side to equal 8x-16, we will need to have k=-16.

8x-16=8x-16

Therefore, our value of k is -16.

I hope this helps!

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During with interval was the bicyclists speed the greatest?
Fudgin [204]

check the picture below.

namely, which of those intervals has the steepest slope, recall slope = average rate of change.

now, from the picture, notice, those two there are the steepest, the other three are leaning too much to the "ground".

so, from those two, which is the steepest anyway?  let's check their slope.


\bf \stackrel{\textit{from the 6th to the 8th hour}}{(\stackrel{x_1}{6}~,~\stackrel{y_1}{104})\qquad (\stackrel{x_2}{8}~,~\stackrel{y_2}{146})} \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{146-104}{8-2}\implies \cfrac{42}{2}\implies 21~~\bigotimes \\\\[-0.35em] \rule{34em}{0.25pt}

\bf \stackrel{\textit{from the 1st to the 2nd hour}}{(\stackrel{x_1}{1}~,~\stackrel{y_1}{12})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{34})} \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{34-12}{2-1}\implies \cfrac{22}{1}\implies 22~~\checkmark

4 0
4 years ago
Pls help me ASAP!WILL MARK BRAINLIEST
Vadim26 [7]

Answer:

m = - 2.27 or m = 16.27

Step-by-step explanation:

Given

m² - 14m - 37 = 0 ( add 37 to both sides )

m² - 14m = 37

To complete the square

add ( half the coefficient of the m- term )² to both sides

m² + 2(- 7)m + 49 = 37 + 49, that is

(m - 7)² = 86 ( take the square root of both sides )

m - 7 = ± \sqrt{86} ( add 7 to both sides )

m = 7 ± \sqrt{86}, that is

m = 7 - \sqrt{86} ≈ - 2.27 or m = 7 + \sqrt{86} ≈ 16.27

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3 years ago
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Keith_Richards [23]

The given expression is

2x

We just have to divide by 2

\begin{gathered} \frac{2x}{2}<h2>Hence, the solution is all real numbers less than 10.</h2>
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