Expanded, the function is ...
... p(x) = x² -x +1
Compared to
... ax² +bx +1
- The value of a is 1
- The vaule of b is -1
- The value of c is 1
- The value of the discriminant is b²-4ac = 1²-4·1·1 = -3
- The quadratic function will intersect the x-axis 0 times.
_____
The negative discriminant means there are no real roots, hence no x-intercepts.
Answer:
x=16
Step-by-step explanation:
7x-4(x-8)=56
Distribute -4 to x and 8
7x-4x+8=56
Combine 7x and -4x
3x+8=56
Subtract 8 on each side
3x=48
Divide both sides by 3
x=16
Answer:
Sarah bought 30 pencils
Step-by-step explanation:
1. Let define p, as the number of pencils bought, and m, as the number of markers bought.
2.


3. Substitute p in the first equation to 3m since p=3m as defined.

plug m into equation p=3m to find the number of pencils bought

To do this problem, we could set up an equation by putting 15% into a decimal.
90 coins * 0.15 = amount of coins sold
13.5=amount of coins sold
You sold 13.5 coins.
Answer:
k=-8/3
Step-by-step explanation:
10k-7=7k-15
10k-7k-7=-15
3k-7=-15
3k=-15+7
3k=-8
k=-8/3