Answer:
6x + 12y = 816
Step-by-step explanation:
6 dollars per regular admission
12 dollars per both dance and volleyball
in total 816 dollars
Answer:
a) 3x5³
b) 75
Step-by-step explanation:
a) find the Prime factors of 375 by dividing your number by prime numbers (you answers must be whole) use a factor tree to help you
a) do the same to 150
one you have you answers in this case we have
375- 3x5x5x5
150 - 2x3x5x5
you collect all the like terms, this will be 3x5x5 then you just simply multiply it And it gives you 75

Synthetic division is used since the equation is of the third degree. The divisors of -3 are 1, -1, 3, +3. So:
| 2 -7 8 -3
<u>1 | 2 -5 3</u>
| 2 -5 3 0
<u> 1 | 2 -3 </u>
2 -3 0
So the factorization is (x-1)² (2x-3)=0. So:


Synthetic division is used since the equation is of the third degree. The divisors of -4 are 1, -1, 2, -2, 4, -4. So:
| 1 -1 0 -4
<u>2 | 2 2 </u>
1 2 2 0
So the factorization is (x-2)(x²+x+2)=0 . When calculating the discriminant of the trinomial, it is concluded that it has no roots since the result is negative. So you only have one solution.


Synthetic division is used since the equation is of the third degree. The divisors of 2 are 1, -1, 2, -2. So:
| 6 7 9 2
<u>-2 | -12 10 -2</u>
6 -5 1 0
So the factorization is (x+2)(6x²-5x+1)=0 . The quadratic equation is solved by the general formula:


Answer:
10:4
Step-by-step explanation:
she mowed 10 lawnes in 4 hours