The initial expression is:
2x + 4(x - 2)
Replacing x by 3, we get:
2(3) + 4(3 - 2)
6 + 4(1)
6 + 4
10
The value of the expression is 10
Answer:
The slope is 6/5 and the y intercept is -13/5
Step-by-step explanation:
6x-5y=13
Solve for y
Subtract 6x from each side
6x-6x-5y=-6x+13
-5y = -6x+13
Divide by -5
-5y/-5 = -6x/-5 +13/-5
y = +6/5x -13/5
This is in slope intercept form y = mx+b where m is the slope and b is the y intercept
The slope is 6/5 and the y intercept is -13/5
Answer: 47 students
Step-by-step explanation:
430 students went on a trip with the majority of them going on buses.
7 students however, had to use cars.
The number of students who used buses are:
= 430 - 7
= 423 students
The number of students in each bus is:
= No. of students taking buses / no. of buses
= 423 / 9 buses
= 47 students
Answer:
Step-by-step explanation:
The quadratic formula is:
The discriminant of a quadratic is just the expression under the square root, or 
. This can tell us the number of solutions a quadratic has.
If the discriminant is:
- Positive = 2 real solutions
- Equal to Zero = 1 real double/repeated solution
- Negative = 0 real solutions, but 2 imaginary solutions
Our quadratic equation has a discriminant of 5, which is positive. Therefore, it has 2 real solutions.
3(3) - (-8)/4 = 9 + 2 = 11 so (3,-8) is solution
3(4) - 4/4 = 12 - 1 = 11 so (4,4) is solution
answer
C. both ordered airs are solutions
