Solve each equation 4x=32
2 answers:
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Answer:
<h2>0.67</h2>Step-by-step explanation:
Distribute 5 through the parentheses
Distribute 4.7 through the parentheses
Move ' 4.7 y ' to L.H.S and change it's sign
Move constant to R.H.S and change it's sign
Collect like terms
Calculate
Divide both sides of the equation by 0.3
Calculate
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Answer:
D
Step-by-step explanation:
I took the quiz and got it right.
Also, the equation is y > x/2 - 3
Rewrite the boundary lines <em>y</em> = -1 - <em>x</em> and <em>y</em> = <em>x</em> - 1 as functions of <em>y </em>:
<em>y</em> = -1 - <em>x</em> ==> <em>x</em> = -1 - <em>y</em>
<em>y</em> = <em>x</em> - 1 ==> <em>x</em> = 1 + <em>y</em>
So if we let <em>x</em> range between these two lines, we need to let <em>y</em> vary between the point where these lines intersect, and the line <em>y</em> = 1.
This means the area is given by the integral,
The integral with respect to <em>x</em> is trivial:
For the remaining integral, integrate term-by-term to get
Alternatively, the triangle can be said to have a base of length 4 (the distance from (-2, 1) to (2, 1)) and a height of length 2 (the distance from the line <em>y</em> = 1 and (0, -1)), so its area is 1/2*4*2 = 4.
