(x + 3)(x − 2) in standard form
x2+x-6
Answer:
Step-by-step explanation:
Answer:
until 49 visits has been made, that is when the cost of visiting with the season pass will be less than the cost of visiting without the season pass
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>
Answer:
Company one charges $11 + $0.16 per min.
Then if you talk for x minutes, the cost will be:
C₁(x) = $11 + ($0.16 per min)*x
For company two, the prize is $20 + $0.11 per min, and if yo talk for x minutes, the cost will be:
C₂(x) = $20 + ($0.11 per min)*x
Now we want to find the value of x, the number of minutes, such that the cost is the same with both companies.
C₁(x) = C₂(x)
$11 + ($0.16 per min)*x = $20 + ($0.11 per min)*x
($0.16 per min)*x - ($0.11 per min)*x = $20 - $11
($0.05 per min)*x = $9
x = $9/($0.05 per min) = 180 mins
If you speak for 180 minutes, the cost is the same in both companies.
