Answer:
3
Step-by-step explanation:
2x + 3 = -x + 12
subtract 3 from both sides
2x = - x + 9
add x to both sides
3x = 9
divide by 3
x = 3
Answer: If x =7, then x + 2 = 9 and x + 4 = 11. These are your three consecutive odd integers.
Step-by-step explanation:
14 boxes per hour
60/5=12
12*3=36
60/6=10
10*5=50
50-36=14
Using the discriminant, the quadratic equation that has complex solutions is given by:
x² + 2x + 5 = 0.
<h3>What is the discriminant of a quadratic equation and how does it influence the solutions?</h3>
A quadratic equation is modeled by:
y = ax² + bx + c
The discriminant is:

The solutions are as follows:
- If
, it has 2 real solutions.
- If
, it has 1 real solutions.
- If
, it has 2 complex solutions.
In this problem, we want a negative discriminant, hence the equation is:
x² + 2x + 5 = 0.
As the coefficients are a = 1, b = 2, c = 5, hence:

More can be learned about the discriminant of quadratic functions at brainly.com/question/19776811
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X=number looked for
we have this equation:
-52(x-14)=x+3
we solve this equation:
-52x+728=x+3
-52x-x=3-728
-53x=-725
x=-725/-53=725/53 ≈13,68
Solution: 725/53
To check:
the difference between 725/53 and 14=725/53 - 14=(725-742)/53=-17/53
-52 times the diference is= -52(-17/53)=884/53
The number plus 3=725/53 + 3=(725+159)/53=884/53