2y + x = -6
y = -2x + 0
We can substitute the second equation into the first one.
2y + x = -6
2(-2x + 0) + x = -6
-4x + x = -6
-3x = -6
Divide -3 on both sides.
x = 2
Now, plug x = 2 into any equation and solve for y.
y = -2x + 0
y = -2(2) + 0
y = -4
The solution to the system of equations is (2,-4).
Answer:
-1/2
Step-by-step explanation:
y=-2/4x-3
y=-1/2x-3
<h2>
The base of a rectangular prism(b) = 41 in.</h2>
Step-by-step explanation:
Given,
The height of a rectangular prism(h) = 3 in and
The perimeter of a rectangular prism = 88 in
To find, the base of a rectangular prism(b) = ?
We know that,
The perimeter of a rectangular prism = 2l + 2b or 2b + 2h or 2h + 2l
∴ 2b + 2(3) = 88
⇒ 2b = 88 - 6
⇒ 2b = 82
⇒ b = 41 in
Thus, the base of a rectangular prism(b) = 41 in.
Average rate of change over the interval <span><span>[a,b]</span>
</span> for <span><span>y=<span>f<span>(x)</span></span></span>
</span> is given by <span><span><span><span>f<span>(b)</span></span>−<span>f<span>(a)</span></span></span><span>b−a</span></span>
</span>
Hence, average rate of change of from <span><span>x=−2</span>
</span> to <span><span>x=6</span>
</span> i.e. over the interval <span><span>[−2,6]</span>
</span> for <span><span>y=<span>f<span>(x)</span></span>=<span>12</span><span>x2</span></span>
</span> is given<span><span> rate of change=<span><span><span>f<span>(6)</span></span>−<span>f<span>(−2)</span></span></span><span>6−<span>(−2)</span></span></span></span>
</span>
As <span><span><span>f<span>(−2)</span></span>=<span>12</span><span><span>(−2)</span>2</span>=2</span>
</span> and <span><span><span>f<span>(6)</span></span>=<span>12</span><span><span>(6)</span>2</span>=</span>
</span><span>rate of change=<span><span>18−2</span>8</span>=<span>162</span>=<span>2</span></span>
