Answer:
Z=1
Step-by-step explanation:
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The following steps of solving for the roots of 2x² - 4x -3 = 0 were retrieved from another source
Step 1 2x² - 4x = 3
Step 2 2(x² - 2x) = 3
Step 3 2(x² - 2x + 1) = 3 + 1
Step 4 2(x - 1)² = 4
From this, we can see that on Step 3, Tran made a mistake of adding 1 to 3. As we can see, 2(x² - 2x + 1) = 2x² - 4x + 2. That means, instead of adding 1, it should have been 2.
Therefore, the step that Tran first made an error is Step 3<span>.</span>
Answer:
y = 
Step-by-step explanation:
Given that y varies inversely with x then the equation relating them is
y = 
← k is the constant of variation
To find k use the condition y = 
when x = 
, thus
= 
= 2k ( divide both sides by 2 )
k = 
y = 
← equation of variation
When x = 
, then
y = 
= 
=
Answer:
3
Step-by-step explanation:
(x₁ , y₁) = (-1 , -2) & (x₂ , y₂) = (3 , 10)
![= \frac{10-[-2]}{3-[-1]}\\\\=\frac{10+2}{3+1}\\\\=\frac{12}{4}\\\\=4](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B10-%5B-2%5D%7D%7B3-%5B-1%5D%7D%5C%5C%5C%5C%3D%5Cfrac%7B10%2B2%7D%7B3%2B1%7D%5C%5C%5C%5C%3D%5Cfrac%7B12%7D%7B4%7D%5C%5C%5C%5C%3D4)
m = 4
y - y₁ = m (x - x₁)
y - [-2] = 4(x - [-1])
y + 2 = 4(x + 1)
y + 2 = 4x + 4
y = 4x + 4 - 2
y = 4x + 2
