If you would like to factor completely 3 * x^2 - x - 4, you can do this using the following steps:
<span>3 * x^2 - x - 4 = (3 * x - 4) * (x + 1) = (3x - 4) * (x + 1)
</span>
The correct result would be (3x - 4) * (x + 1<span>).</span>
Consecutive numbers are always 1 away from each other
3,4
so consecutive is represented by
x and x+1
so sum is -171
x+x+1=-171
add like terms
2x+1=-171
subtract 1 from both sides
2x=-172
divide both sides by 2
x=-86
subustitute
x+1=otehr number
x+1=-86+1=-85
answer is -85 and -86
Answer:
x^2 - 2x + 5 = 0.
Step-by-step explanation:
The (0, 5) is the point where the parabola passes through the y axis (where x = 0), so we can write the equation as
y = ax^2 + bx + 5 where a and b are constants to be found.
Also, since (1, 4) and (2, 5) are points on the curve, substituting, we have the system:
a(1)^2 + 1b + 5 = 4
a(2)^2 + 2b + 5 = 5
Simplify these 2 equations:
a + b = -1 .................(1)
4a + 2b = 0..................(2)
Multiply the first equation by -2:
-2a - 2b = 2 .................(3)
Add (2) + (3):
2a = 2
a = 1.
Substitute a = 1 into (2):-
4*1 + 2b = 0
2b = -4
b = -2.
Answer:
520 out of 800 students ride the bus
Step-by-step explanation:
Given
Required
Determine the number of students 
To do this, we simply multiply the proportion by the total number of students.
i.e.
Express the percentage as decimal
<em />
