Answer:
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2/5 are girls, therefore 3/5 are boys
3/5 = 24
1/5 = 24 ÷ 3 = 8
2/5 = 8 x 2 = 16
Altogether = 16 + 24 = 40
24 - 1 6 = 8
There are 40 children altogether
There are 8 more boys than girls.
Let f(x) = p(x)/q(x), where p and q are polynomials and reduced to lowest terms. (If p and q have a common factor, then they contribute removable discontinuities ('holes').)
Write this in cases:
(i) If deg p(x) ≤ deg q(x), then f(x) is a proper rational function, and lim(x→ ±∞) f(x) = constant.
If deg p(x) < deg q(x), then these limits equal 0, thus yielding the horizontal asymptote y = 0.
If deg p(x) = deg q(x), then these limits equal a/b, where a and b are the leading coefficients of p(x) and q(x), respectively. Hence, we have the horizontal asymptote y = a/b.
Note that there are no obliques asymptotes in this case. ------------- (ii) If deg p(x) > deg q(x), then f(x) is an improper rational function.
By long division, we can write f(x) = g(x) + r(x)/q(x), where g(x) and r(x) are polynomials and deg r(x) < deg q(x).
As in (i), note that lim(x→ ±∞) [f(x) - g(x)] = lim(x→ ±∞) r(x)/q(x) = 0. Hence, y = g(x) is an asymptote. (In particular, if deg g(x) = 1, then this is an oblique asymptote.)
This time, note that there are no horizontal asymptotes. ------------------ In summary, the degrees of p(x) and q(x) control which kind of asymptote we have.
I hope this helps!
Answer:
13. Linear Function
12. Absolute Value Function
11. Quadratic Function
10. Constant and Linear Function
Step-by-step explanation:
13. This graph is in Slope-Intercept Form,
. The equation of this line is
.
12. This graph obviously is an Absolute Value graph because it is in the shape of a "V".
11. This graph is in the shape of a parabola, so it is considered "Quadratic".
10. This line is constant because it is a horizontal line, but it is ALSO considered a linear function<em> </em>because it is in the form of
, and the equation of this line is
, where you have NO <em>rate</em><em> </em><em>of</em><em> </em><em>change</em><em> </em>[<em>slope</em>]. This is what you call horizontal lines, zero slopes.
I am joyous to assist you anytime.
Answer:
Look below
Step-by-step explanation:
lets have -29 be y2 and -5 be x2
21 - (-)29
5 - (-)5
Subtracting a negative is just adding it so
21 + 29 50
5 + 5 10
50/10
this simplified, is 5/1 or 5
y=5x+b
now we need to find b, so we substitute y and y
x = 5
y = 21
21=5*5=b
5*5 is 25
now we need to get to 21
25 -4 is 21
b = -4
y=5x-4