Semester 1:
let the number of students in the art class be 2a, and the number of the students in the gym class be 7a. (check: the ratio is 2a:7a = 2:7)
so the total number of students is 9a.
semester 2:
the 9a students are go to the art class and gym class at a a ratio of 5: 4,
so 5a students go to the art class, and 4a students go to the gym class.
<span>75 students are in art class in second semester means that 5a=75,
so a=75/5=15.
In the 1st semester the number of students was:
art class: 2a=2*15=30
gym class: 7a=7*15=105</span>
Answer: The required polynomial of lowest degree is 
Step-by-step explanation: We are given to find a polynomial function of lowest degree with real coefficients having zeroes of 2 and -5i.
We know that
if x = a is a zero of a real polynomial function p(x), then (x - a) is a factor of the polynomial p(x).
So, according to the given information, (x - 2) and ( x + 5i) are the factors of the given polynomial.
Also, we know that complex zeroes occur in conjugate pairs, so 5i will also be a zero of the given polynomial.
This implies that (x - 5i) is also a factor of the given polynomial.
Therefore, the polynomial of lowest degree (three) with real coefficients having zeroes of 2 and -5i is given by
Thus, the required polynomial of lowest degree is
Simple...
you have:
1.) -8x-16 --->>>
Factor out a -8 -->>
-8(x+2)
2.)9d+15db --->
Factor out 3d -->
3d(3+5b)
3.) 2a-9ax-->>
Factor out -a -->
-1a(9x-2)
Thus, your answer.
Answer:
Step-by-step explanation:
Sum of all angles of a triangle = 180
x + 64 + x + 45 + 79 = 180
Combine like terms.
2x + 188 = 180
2x = 180 - 188
2x = - 8
x = -8/2
x = -4
x + 64 = -4 + 64 = 60
x + 45 = -4 + 45 = 41
