<u>Answer:</u>
<em>Option D : $153</em>
<u>This is how I got that:</u>
9:30 AM to 1:15 PM = 3 hours and 45 minutes
The first hour charges $15 and for the remaining 2 hours and 45 minutes
Mr. Anand is charged 36$. Remember it says that each additional hour <em>or part thereof, </em>so the 2 hours and 45 minutes is considered 3 hours.
So our total for one paddle boat is <u>$51 </u>
<u />
But Mr. Anand hired <em>three</em> boats so we simply times 51 by 3 and get our solution to the problem:
<u>Mr. Anand must pay $153 or Option D</u>
<u></u>
<em>~That's All Folks~</em>
<em>-Siascon</em>
Use elimination method - I am eliminaing the y-variable.
1(5x + 8y = 16) → 5x + 8y = 16
4(6x - 2y = 54) → 24x - 8y = 216
Add equations: 29x = 232
Divide by 29: x = 8
Answer: x = 8
Comparing to the standard equation, the parabola with a vertex at (-2,0) is given by:
y = (x + 2)²
<h3>What is the equation of a parabola given it’s vertex?</h3>
The equation of a quadratic function, of vertex (h,k), is given by:
y = a(x - h)² + k
In which a is the leading coefficient.
In this problem, we have that h = -2 and k = 0, and all the options have leading coefficient a = 1, hence the equation is:
y = (x + 2)²
More can be learned about the equation of a parabola at brainly.com/question/17987697
Slope = 2/5 ; Passes through (-4, -7) ; Point-slope form
point-slope form : y-y₁=m(x-x₁)
Simply plug everything in :)
Remember !! m=slope
y - (-7) = 2/3(x - (-4))
Simplify.
y + 7 = 2/3(x + 4)
*Some teachers want this simplified more so here's the simplest answer :
y + 7 = 2/3x + 8/3 *
~Hope I helped!~