Answer:
1.30/8 = 0.1625
rounded to nearest cent: 0.2?
Step-by-step explanation:
Answer:
x+y=10 which means that x=10-y
Replace 10-y in the other equation which gives you:
10-y-y=6
10-2y=6
-2y=-4
y=2
Replace 2 in any of the 2 equations same answer for both:
x+y=10
x+2=10
x=8
So,


=512-8
=504
Hope this helps!
Answer:
Step-by-step explanation:
Given that a rectangle is inscribed with its base on the x-axis and its upper corners on the parabola

the parabola is open down with vertex at (0,2)
We can find that the rectangle also will be symmetrical about y axis.
Let the vertices on x axis by (p,0) and (-p,0)
Then other two vertices would be (p,2-p^2) (-p,2-p^2) because the vertices lie on the parabola and satisfy the parabola equation
Now width = 
Area = l*w = 
Use derivative test
I derivative = 
II derivative = 
Equate I derivative to 0 and consider positive value only since we want maximum
p = 
Thus width= 
Length =
Width = 
Let's solve your equation step-by-step.<span><span><span>4<span>(<span>1−x</span>)</span></span>+<span>2x</span></span>=<span>−<span>3<span>(<span>x+1</span>)</span></span></span></span>Step 1: Simplify both sides of the equation.<span><span><span>4<span>(<span>1−x</span>)</span></span>+<span>2x</span></span>=<span>−<span>3<span>(<span>x+1</span>)</span></span></span></span><span>Simplify: (Show steps)</span><span><span><span>−<span>2x</span></span>+4</span>=<span><span>−<span>3x</span></span>−3</span></span>Step 2: Add 3x to both sides.<span><span><span><span>−<span>2x</span></span>+4</span>+<span>3x</span></span>=<span><span><span>−<span>3x</span></span>−3</span>+<span>3x</span></span></span><span><span>x+4</span>=<span>−3</span></span>Step 3: Subtract 4 from both sides.<span><span><span>x+4</span>−4</span>=<span><span>−3</span>−4</span></span><span>x=<span>−7</span></span>Answer:<span>x=<span>−<span>7</span></span></span>
Answer:
0.492
Step-by-step explanation:
According to the given situation, the calculation of Δy and dy is shown below:-







Now we use the scientific calculator or spreadsheet to determine the exponential value
= 1.491824698 - 1
= 0.491824698
or
= 0.492
Therefore for computing the Δy and dy we simply applied the above formula.
Hence, the answer is 0.4918