We are given: Function y=f(x).
First x-intercept of the y=f(x) is 2.
x-intercept is a point on x-axis, where y=0.
Replacing y by 0 and x by 2 in above function, we get
0=f(2)
Second x-intercept of the y=f(x) is 3.
Replacing y by 0 and x by 2 in above function, we get
0=f(3)
We are given another function y=8f(x).
Here only function f(x) is being multiplied with 8.
That is y values of function should be multiply by 8.
Because we have y value equals 0. On multiplying 8 by 0 gives 0 again and it would not effect the values of x's.
Therefore,
x-intercepts of y=8f(x) would remain same, that is 2 and 3.
The diameter of the circle is 11.8 units
<h3>How to determine the diameter of the circle?</h3>
The circle equation is given as:
(x - 2)^2 + (y + 6)^2 = 35
A circle equation is represented as:
(x - a)^2 + (y - b)^2 = r^2
Where
Diameter = 2r
By comparing both equations, we have
r^2 = 35
Take the square root of both sides
r = 5.9
Multiply by 2
2r = 11.8
Hence, the diameter of the circle is 11.8 units
Read more about circle equation at:
brainly.com/question/10618691
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2/3 hour =2/3×60 min=40 min
2/3 hour=2/3×3600 seconds=2400seconds
Step-by-step explanation:
3(x + 1)(x + 7) − (2x + 5)²
3(x² + 8x + 7) − (4x² + 20x + 25)
3x² + 24x + 21 − 4x² − 20x − 25
-x² + 4x − 4
-(x² − 4x + 4)
-(x − 2)²
A squared number is never negative (provided x is a real number), so -(x − 2)² is never positive.
