Answer:
x + y = 64
x + 10 = y
Step-by-step explanation:
Since it isn't asking for the solutions, I won't solve.
let y represent drama students, and x represent the yearbook students.
We know that DS (drama students) plus YS (Yearbook students) equals 64 students in total. To write this mathematically you would write x(YS)+ y(DS) = 64 (Students in total) except just <em><u>x + y = 64</u></em>.
The second part of this system explains what y is.
We know that the drama club has 10 more students than yearbook students, so YS plus 10 equals the amount of DS. To write this mathematically you would write <em><u>x + 10 = y</u></em>.
Combine the two systems by writing
x + y = 64
x + 10 = y
<em>P.S. Let me know if you need the system solved.</em>
Answer:
52.4.
Step-by-step explanation:
This is the difference of 2 squares:
a^2 - b^2 = (a - b)(a + b)
(7.62^2 - (2.38)^2
= (7.62 - 2.38)(7.62 + 2.38)
= 5.24 * 10
= 52.4
Answer:
Exponential function
Step-by-step explanation:
It is better if the situation on ground is represented by an exponential equation.
This is because, since we have the number of teams reducing by exactly half at every playoff round, this means that we have a base of 2 which can be raised to a negative power since we are talking about a decrease.
We can then place the number of rounds as an adjoining power to what the two is raised and this easily will get us the number of teams which is eventually decreased at every point of the playoffs
Answer:
Step-by-step explanation:
We can use the quadratic formula or factor, This looks hard to factor so we should use the quadratic formula.
ax^2 + bx + c
so
a=4
b=-9
c=2
you can try it by hand or use this:
https://www.calculatorsoup.com/calculators/algebra/quadratic-formula-calculator.php
you get x=2 and x=0.25 these are the x intercepts (where Y is zero and where the graph crosses the x axis)
so mark x=2 and x=0.25 with a dot on a number line and you can draw a straight line between them since that is the part of the graph that is below the x axis (because the equation has <0) it is a positive parabola because the "a" value is positive and the presence of a "b" value means part of the graph will be below the x axis
