Answer:
Equation of axis of symmetry is x = 2
Step-by-step explanation:
The equation of the parabola is given as;
y = -2x² + 8x - 7
The equation of the axis of symmetry is given by;
x = -b/2a
In the parabola equation given and using letters of quadratic equation, we can say that;
a = - 2
b = 8.
c = -7
Thus;
x = -b/2a = -8/(2 × - 2)
x = 8/4
x = 2
Equation of axis of symmetry is x = 2
Answer:
x=10
Step-by-step explanation:
We can use the angle bisector theorem to solve this problem
8 12
-------- = ---------
x+4 2x+1
Using cross products
8(2x+1) = 12(x+4)
Distribute
16x+8 = 12x+48
Subtract 12x from each side
16x -12x +8 = 12x-12x +48
4x +8 = 48
Subtract 8 from each side
4x+8-8 = 48-8
4x = 40
4x/4 = 40/4
x=10
Answer:
129
Step-by-step explanation:
Considering the survey to be representative, you can simply multiply the share of students <em>p</em> preferring “Track & Field” with the whole school population at the same time to estimate the number of such students in the whole school.
First we need to find the relative share <em>p</em> of such answers in the study by dividing it by the sum of answers, assuming that the table is complete for that random sample:
<em>p</em> = 4/(8 + 5 + 4) = 4/17
Then for the whole school we get 550 <em>p</em> ≈ 129.4
