Answer:
a possible solution is (10,1)
Step-by-step explanation:
Here, we want to solve the given inequality and determine one possible solution
From the question, we have it that;
x + y ≤ 13
Mathematically, we have it that 1 dime is worth $0.1
A nickel is worth $0.05
0.1x + 0.05y ≥ 0.95
please check the attachment for the graph of both equations
The point of intersection represents the solution.
we have a point here as (10,1)
There would be 101.33 students the following year
<h3>Ratios </h3>
From the question, we are to determine the number of students for the following year
From the given information,
There are 3 PA's for 38 students
If the ratio stays the same and
There were 8 PA's the following year, the number of students would be x
x = (8 × 38) / 3
x = 304 / 3
x = 101.33 students
Hence, there would be 101.33 students the following year
Learn more on Ratios here: brainly.com/question/2914376
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Let A = {a, b, c, d, e} and B = {a, c, f, g, i}. Universal Set: ∪= {a,b,c,d,e,f,g,h,i}
mixer [17]
Answer:
1. { a, b, c, d, e, h }
2. { f, g, i }
Step-by-step explanation:
Given sets,
A = {a, b, c, d, e},
B = {a, c, f, g, i}
Universal set , ∪ = {a, b, c, d, e, f, g, h, i},
1. Since,
= elements of universal set which are not in set B
= U - B
= { b, d, e, h },
Thus,
= All elements of A and 
= { a, b, c, d, e, h }
2. B - A = elements of set B which are not in set A
= { f, g, i }
Line A is parallel to line B if line A and B have the same slope and have the same or different y-intercept.
Convert the standard form equation to slope-intercept form as it will be easier to see the slope.
Solve for y.
4x + 2y = 0
2y = -4x <-- Subtract 4x from each side
y = -2x <-- Divide both sides by 2
In the slope-intercept form y = -2x, a y-intercept of 0 is implied
Now find a slope-intercept form equation that has the same slope as y = -2x
So, the answer is C y = -2x + 3.
(f + g)(x) is equal to f(x) + g(x).
So (f + g)(x) = (3x + 5) + (-2x^2 - 5x + 3) = -2x^2 - 2x + 8
which is choice C.