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.
Answer: A, or 0.2x
Step-by-step explanation:
To figure how expressions and percent's match up, replace the x with an easy number. For example, I use 4.
20% of 4 is 0.8, and 4 x 0.2 is also 0.8
Therefore, the expression to represent that percentage is A.
Also, the other answers were WAYYY off.
B, or x - 20 is flawed since x could be anything.
C, is also flawed in the same way.
And D makes -76.
A is the only sensible one and is proven to work.
Hope this helped!
-Nick
3.5 feet converted to inches is 42 inches. 42"-14"=28"
28" divided by 2 sides is 28/2 = 14" on either side if the poster remaining
Step-by-step explanation:
f(x) = y= -x²-x+6
When y is max, f'(x) = 0
f'(x) = -2x-1
Equating to 0,
-2x-1= 0
x= -1/2
Put the value of x in f(x)
y = -(-1/2)² -(-1/2) +6
= -1/4+1/2+6
= 6+1/2
y= 13/2
Answer:
10 units
Step-by-step explanation:
Moving from (-3, -6) to (3, 2), x increases by 6. Draw a triangle and use this 6 as the length of the base. y increases by 8. Label the height of the triangle with this 8. Then find the hypotenuse (which is also the desired distance) by using the Pythagorean Theorem:
6^2 + 8^2 = d^2, where d is that distance:
36 + 64 = 100 = d^2, and so d = 10. The distance in question is 10 units.
