I must assume that by "15x2 - 44x - 36" you actually meant "<span>15x^2 - 44x - 36." Use " ^ " to denote exponentiation, please.
One by one, take each of the following sets of possible factors and mult. them out to determine whether the result equals </span>15x^2 - 44x - 36:
<span>
(5x - 9)(3x + 4)
(3x - 4)(5x + 9)
(5x - 18)(3x + 2)
(5x + 18)(3x - 2)
First one: use the "foil" method: (5x)(3x) + 20x - 27x - 36. This does not simplify to </span>15x^2 - 44x - 36 and so is not the correct choice. Go on to the second answer choice and continue this check.
Quadrant 1:
There are 4 quadrants how to remember which quadrant is which I think of a C starting on the top right.
Step 1
Let the first consecutive integer be n
Then the second will be n+1
The third will be n+2
Step 2
Write an inequality for the problem
Step 3
Solve the inequality
Step 4
Find the possible set of three integers to satisfy the inequality.
One possible set of three integers that satisfy the inequality is;
{4,5,6}
Answer:
A: 42
Step-by-step explanation: 10.5x4=42
We are have a system of equations with 2 variables, x and y
Equation 1: -3x-3y = 3
Equation 2: y = -5x-17
For equation 1, the y is by itself on one side of the equation, so it is really easily to substitute it into equation 2. In general, to solve for system of equations, you either do elimination or substitution. You just have to find which is easier for this situation.
By substituting y for -5x-17 in equation 1, there is only 1 variable which we can solve for.
-3x-(-5x-17) = 3
Distribute negative sign to (-5x-17) Avoid the common error of forgetting!
-3x+5x+17 = 3
Combine like terms- same variables are like terms (ex. 4x and 29x) and all constants are like terms (ex. 7 and 189 )
2x+17 = 3
Subtract 17 from both sides so all the variables are on one side and the constants on the other
2x = -14
Divide both sides by 2 to isolate the x
x = -7
We now know that x = -7 so we need to plug it into an equation to solve for y
Equation 2: y = -5x-17
y = -5 (-7) -17
y = 18
Now we know that x = -7 and y = 8
We can write it as (-7, 8)