Step-by-step explanation:
I think it is $4,821 because that is what I got as an answer. I hope this helped!
I will try to solve your system of equations.<span><span><span>
x+y</span>=120</span>;<span><span><span>5.25x</span>+<span>3y</span></span>=517.2</span></span>
Step: Solve<span><span>x+y</span>=120</span>for x:<span><span><span>
x+y</span>+<span>−y</span></span>=<span>120+<span>−y</span></span></span>(Add -y to both sides)<span>x=<span><span>−y</span>+120</span></span>
Step: Substitute<span><span>−y</span>+120</span>forxin<span><span><span><span>5.25x</span>+<span>3y</span></span>=517.2</span>:</span><span><span><span>
5.25x</span>+<span>3y</span></span>=517.2</span><span><span><span>5.25<span>(<span><span>−y</span>+120</span>)</span></span>+<span>3y</span></span>=517.2</span><span><span><span>−<span>2.25y</span></span>+630</span>=517.2</span>(Simplify both sides of the equation)<span><span><span><span>−<span>2.25y</span></span>+630</span>+<span>−630</span></span>=<span>517.2+<span>−630</span></span></span>(Add -630 to both sides)<span><span>−<span>2.25y</span></span>=<span>−112.8</span></span><span><span><span>−<span>2.25y</span></span><span>−2.25</span></span>=<span><span>−112.8</span><span>−2.25</span></span></span>(Divide both sides by -2.25)<span>y=50.133333</span>
Step: Substitute50.133333foryin<span><span>x=<span><span>−y</span>+120</span></span>:</span><span>
x=<span><span>−y</span>+120</span></span><span>x=<span><span>−50.133333</span>+120</span></span><span>x=69.866667</span>(Simplify both sides of the equation)
Answer:<span><span>
x=<span><span>69.866667<span> and </span></span>y</span></span>=<span>50.133333</span></span>
The answer is b. Hope this was helpful
The values of x at wich F(x) has local minimums are x = -2 and x = 4, and the local minimums are:
<h3>
What is a local maximum/minimum?</h3>
A local maximum is a point on the graph of the function, such that in a close vicinity it is the maximum value there. So, on an interval (a, b) a local maximum would be F(c) such that:
c ∈ (a, b)
F(c) ≥ F(x) for ∀ x ∈ [a, b]
A local minimum is kinda the same, but it must meet the condition:
c ∈ (a, b)
F(c) ≤ F(x) for ∀ x ∈ [a, b]
A) We can see two local minimums, we need to identify at which values of x do they happen.
The first local minimum happens at x = -2
The second local minimum happens at x = 4.
B) The local minimums are given by F(-2) and F(4), in this case, the local minimums are:
If you want to learn more about minimums/maximums, you can read:
brainly.com/question/2118500
This question is false, there are no solutions, even if u take away the x and make it multiplication instead of a variable, still no solutions exist
