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maw [93]
2 years ago
7

What was the error in this equation?

Mathematics
1 answer:
PtichkaEL [24]2 years ago
3 0

Answer:

The error is the solution.

The solution is all real numbers, or infinite amount of solutions.

Step-by-step explanation:

Step 1: Write equation

-4(2n - 3) = 12 - 8n

Step 2: Solve for <em>n</em>

  1. <u>Distribute -4:</u> -8n + 12 = 12 - 8n
  2. <u>Subtract 12 on both sides:</u> -8n = -8n
  3. <u>Add 8n to both sides:</u> 0 = 0

Here we see that <em>n</em> can equal any number. If you plug in any number <em>n</em>, it will render the equation true. Therefore, our solution is n = infinite amount of solutions.

n = 0 is only slightly correct. 0 does work as the solution, but there are solutions as well.

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Paha777 [63]

Answer: The slope of the line that passes through (2, 12) and (4, 20) is 4.

The value of the y-intercept is 9.

Step-by-step explanation:

Slope of line passing through (a,b) and (c,d) = \dfrac{d-b}{c-a}

Then, the slope of the line that passes through (2, 12) and (4, 20) = \dfrac{20-12}{4-2}

=\dfrac{8}{2}=4

So, the slope of the line that passes through (2, 12) and (4, 20) is 4.

To find the y-intercept of 3x + 2y = 18, first write in slope intercept form y=mx+c ( where c= y-intercept ).

2y=-3x+18\\\\\Rightarrow\ y=-\dfrac{3}{2}x+9

By comparison,  c= 9

Hence, the value of the y-intercept is 9.

4 0
3 years ago
On my brother's 14th birthday, he was 160 cm tall. Within exactly one year, his height increased by 6%. How tall was he on his 1
Charra [1.4K]

Answer:

170 cm

Step-by-step explanation:

160+.06*160=160+9.6=169.6

8 0
3 years ago
Mr. Factor bought 9.8 gallons of gasoline at $1.15 a gallon. How much did he pay for the gasoline?​
loris [4]

Answer:

8.52

Step-by-step explanation:

9.8 divided by 1.15 = 8.52

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2 years ago
Solving Exponential Equations (lacking a common base)<br><br>(0.52)^q=4
bulgar [2K]

Answer:

q = log4 / log0.53

q = -2.189

Step-by-step explanation:

(0.53)^q = 4

Taking log of both sides!

q log 0.53 = log 4

q = log 4 / log 0.53

q = 0.602 / -0.275

q = - 2.189

This can be checked to confirm correctness.

Substituting q = -2.189

(0.53)^ -2.189 = 1/ 0.249

= 4.01 Proved!

(Note that the "1" is because of the negative sign)

8 0
3 years ago
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Logx - logx-1^2=2log(x-1)
myrzilka [38]

Answer:

x is approximately 2.220744

Step-by-step explanation:

This can be simplified a little using properties of logarithms, and then solve it by graphing:

log(x)-log(x-1)^2=2\,log(x-1)\\log(x)-2\,log(x-1)=2\,log(x-1)\\log(x)=4\,log(x-1)

So we use a graphing tool to find the intersection point of the graph of log(x), and the graph of 4\,log(x-1)

Please see attached image for the graph and solution.

The value of x is approximately 2.220744

8 0
3 years ago
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