Answer: put 3 in the blank
Explanation:
![3x-7=3x+12\,\,\,|-3x\\-7 = 12](https://tex.z-dn.net/?f=3x-7%3D3x%2B12%5C%2C%5C%2C%5C%2C%7C-3x%5C%5C-7%20%3D%2012)
The last row shows that this equation will never be true no matter what value of x. This shows that setting the coefficient of x to 3 makes the equation have no solutions.
<u>Corrected Question</u>
If f(x) = -3x+4 and g(x) = 2, solve for the value of x for which f(x) = g(x) is true.
Answer:
![x=\dfrac{2}{3}](https://tex.z-dn.net/?f=x%3D%5Cdfrac%7B2%7D%7B3%7D)
Step-by-step explanation:
Given the functions:
When f(x)=g(x), we have:
-3x+4=2
Collect like terms by subtracting 4 from both sides
-3x+4-4=2-4
-3x=-2
Divide both sides by -3 to solve for x.
![\dfrac{-3x}{-3}=\dfrac{-2}{-3}\\ x=\dfrac{2}{3}\\$Therefore, $f(\dfrac{2}{3})=g(\dfrac{2}{3})](https://tex.z-dn.net/?f=%5Cdfrac%7B-3x%7D%7B-3%7D%3D%5Cdfrac%7B-2%7D%7B-3%7D%5C%5C%20%20x%3D%5Cdfrac%7B2%7D%7B3%7D%5C%5C%24Therefore%2C%20%24f%28%5Cdfrac%7B2%7D%7B3%7D%29%3Dg%28%5Cdfrac%7B2%7D%7B3%7D%29)
We conclude therefore that at
, the values of f(x) and g(x) are equal.
Answer:
600/mph
Step-by-step explanation:
The probability of picking a red counter is therefore; 8/25.
<h3>What is the probability of picking a red counter?</h3>
Since the ratio of red to green is 2 :3 and there are 24 green counters, it follows that the number of red counters is;
x = (2/3)× 24 = 16 red.
The total of red and green is; 16 +24 = 40 which constitutes 80% of the total counters.
The total number of counters is therefore; 40/0.8 = 50 counters.
The probability of picking a red counter is therefore; 16/50 = 8/25.
Read more on ratios;
brainly.com/question/13513438
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Answer:
...
Step-by-step explanation:
the central angle is the same as the arc
mDE= 104°
mFE= 76°
mDEF= 180°
mCFD= 180°
mDFE= 256°