Answer:
I'm pretty sure it's the last one that is incorrect
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given function is f(x) = ![\frac{2}{5}x-1](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B5%7Dx-1)
Input - output table for the given function,
x -10 -5 0 5 10
y -5 -3 -1 1 3
Now we can plot these ordered pairs on a graph paper as graph attached.
Answer:
D) In step 5, he should have multiplied both sides by 1/3
Step-by-step explanation:
Given expression,
![3(x - \frac{1}{4}) = \frac{13}{6}](https://tex.z-dn.net/?f=3%28x%20-%20%5Cfrac%7B1%7D%7B4%7D%29%20%3D%20%5Cfrac%7B13%7D%7B6%7D)
Using distributive property,
![3x - \frac{3}{4}=\frac{13}{6}](https://tex.z-dn.net/?f=3x%20-%20%5Cfrac%7B3%7D%7B4%7D%3D%5Cfrac%7B13%7D%7B6%7D)
Using additive property of equality,
![3x -\frac{3}{4}+\frac{3}{4}=\frac{13}{6}+\frac{3}{4}](https://tex.z-dn.net/?f=3x%20-%5Cfrac%7B3%7D%7B4%7D%2B%5Cfrac%7B3%7D%7B4%7D%3D%5Cfrac%7B13%7D%7B6%7D%2B%5Cfrac%7B3%7D%7B4%7D)
Make the fraction with same denominator by taking LCM of Denominators in left side the equation,
![3x = \frac{26}{12}+\frac{9}{12}](https://tex.z-dn.net/?f=3x%20%3D%20%5Cfrac%7B26%7D%7B12%7D%2B%5Cfrac%7B9%7D%7B12%7D)
Adding fractions,
![3x =\frac{35}{12}](https://tex.z-dn.net/?f=3x%20%3D%5Cfrac%7B35%7D%7B12%7D)
Write 3 as a fraction,
![\frac{3}{1}x =\frac{35}{12}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B1%7Dx%20%3D%5Cfrac%7B35%7D%7B12%7D)
Using multiplicative property of equality for isolating the variable in right side, multiply 1/3 in both sides,
![x= \frac{35}{36}](https://tex.z-dn.net/?f=x%3D%20%5Cfrac%7B35%7D%7B36%7D)
Hence, it is clear that he did mistake in step 5 he should have multiplied both sides by 1/3.
The answer is the square root of (12^2 + 5^2), which is 13. You're correct