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.
So he knows there are definitely 66 trouts as he caught and tagged them.
The next day he caught 52, but 13 of them were already tagged, so were part of the number of trout he caught before.
So he can expect that:
66+(52-13)= 105 trout are in the lake
Step-by-step explanation:
3)
No. of wooden boxes is less than 9
x< 9
No. of plastic boxes is not more than 10
y ≤ 10
Weight equation
Wood box 6 kg Plastic box 3 kg total 36 kg
which means that the weight that can be carried must be greater than or equal to the actual weight
6x + 3y ≥ 36
Volume equation
Wood box 0.25 m² Plastic box 0.5 m² total 3 m²
which means that the capacity of boxes must be greater than or equal to the capacity of actual load
0.25x + 0.5y ≥ 3
4) Let the no. of RM100 tickets be x and no. of RM150 tickets be y
no. of RM100 tickets is more than no. of RM150 tickets.
x > y
Total price exceeds 3000
100x + 150y > 3000
Answer:
The answer is "Choice B, C, and F is correct".
Step-by-step explanation:
The following are choices, which is missing in the question, that can be defined as follows:
A) {x| x ≥ 3} is the domain.
B) The set shall be {y| y ≥ –1}.
C) over the interval (–∞, 3), is the function, that decreases.
D) it's over the duration the function increases its value, that is (–1, ∞).
E) The symmetry axis will be x = – 1.
F) vertex is (3, – 1).
- In choice A, It is incorrect even though f is the domain, which is all true numbers because it has a quadrant function.
- In choice B, it is correct.
- In choice C, It is valid because it was a parable open with vertex so if we exploded view f (3, -1). Because as value opens up, its value with x from-∞ to 3 drops while it goes up from increasing from 3 to ∞.
- In choice D, It is wrong since we have just said f decreases from-∞ to 3. Therefore, f decreases from -1 to 3, too. Therefore, f doesn't grow from -1 to ∞.
- In choice E, It is incorrect because the symmetry axis is x = 3.
- In choice F, it is true.
1/3
*Tip: Just divide each side by the same number (in this case, divide each side by 2)
Hope I helped! <3
