Answer:
-1 
Step-by-step explanation:
4x-8y=15
4x-8y-4x=15-4x
-8y=15-4x
-8y/-8=15-4x/-8
y=-1 7/8+1/2x
slope is -1 7/8
Order of Operation is commonly referred to as PEMDAS, an acronym for "Please excuse my dear aunt Sally," which references the order in which operations should be calculated when solving a math problem.
P = parentheses
E = exponent
M = multiply
D = divide
A = add
S = subtract
So you don't always have all of these components, but you consider the ones present in the problem in front of you. If there is no multiplication, but there is division and a set of parentheses, then you FIRST solve what's inside the parentheses, then you divide. If you have some examples, I'll show you.
Answer:
-11
Step-by-step explanation:
Convert -3 2/3 to -11/3
-11/3÷1/3
Dividing by 1/3 is the same as multipling by 3
so the equation becomes
(-11/3)(3)
=-11

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:

