All of the following relations are functions, except A) y = x2. B) x = y2. C) y = |x|. D) y = x .
2 answers:
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The given number sentence is simplified as 1 3/5
<u>Step-by-step explanation:</u>
The given number sentence is 2-4/5 x 1/2
- In order to solve this, the operations must be performed based on the BODMAS rule.
- This means that, the operations should be performed in the order of Bracket, Of, Division, Multiplication, Addition and Subtraction.
Here, based on that above rule, the multiplication must be done in the first step and then subtraction should be done in the next step.
⇒ 2 - 4/5 × 1/2
⇒ 2 - 4/10
⇒ 2 - 2/5
Therefore, the given expression is reduced to 2- 2/5
cross multiply the denominator 5
⇒ (10-2) / 5
⇒ 8/5
Now, the expression is reduced to single term 8/5.
To further reduce the term, divide 8 by 5.
- The quotient is 1.
- The remainder is 3.
- The divisor is 5.
The answer is written in the form of
⇒ 1 3/5
Let's first find the slope. This is (y_2 - y_1)/(x_2 - x_1), where (x_1, y_1) and (x_2, y_2) are points.
For this problem, our slope is (0 - 2)/(3 - 0) = -2/3.
We can now use the point-slope formula to find the equation of our line:
(y - y_1) = m(x - x_1)
(y - 2) = -2/3(x - 0)
y - 2 = (-2/3)x
y = (-2/3)x + 2
The equation of our line is
.
For this problem, our slope is (0 - 2)/(3 - 0) = -2/3.
We can now use the point-slope formula to find the equation of our line:
(y - y_1) = m(x - x_1)
(y - 2) = -2/3(x - 0)
y - 2 = (-2/3)x
y = (-2/3)x + 2
The equation of our line is
Answer:
Option 3) y = 3x+1
Step-by-step explanation:
<u><em>Given equation is:</em></u>
y =
Perpendicular => <u><em>It will have a slope of negative reciprocal to this slope</em></u>
So the ⊥ line has a slope = m = 3
Now,
Point = (x,y) = (1,4)
So, x = 1, y = 4
<u><em>Putting this in slope intercept form to get b</em></u>
=>
=> 4 = (3)(1) + b
=> b = 4-3
=> b = 1
<u><em>Now, Putting m and b in the slope intercept form to get the required equation:</em></u>
=> y = 3x+1