Step-by-step explanation:
what ? you cannot do even simplest subtractions ?
what is it you don't understand here ?
how such a function works ?
you take every value for x (the input variable or argument), put it in place of the "x" (this is nothing else than a placeholder for the actual values) and then perform the mathematical operations. y is then the result of that.
x = 0
y = 0 - 7 = -7
the ordered pair of (x, y) is (0, -7)
x = 1
y = 1 - 7 = -6
(1, -6)
x = -3
y = -3 - 7 = -10
(-3, -10)
x = -5
y = -5 - 7 = -12
(-5, -12)
First subtract the constant to the other side to simplify it for now
y-5=-x^2+6x
Then pull out a common factor so the coefficient is x^2
y-5=-1(x^2-6x)
Next you take 1/2 of the b value (-6) and square it to find your c value
[1/2(-6)]^2=9
After that plug 9 into your equation as your c value
y-5=-1(x^2-6x+9)
Adding the C-value (9) causes the equations to become unbalanced so you need to balance them back out by minus 9 to the other side
y-14=-1(x^2-6x+9)
Now you want to simplify the equation on the right side.
y-14=-1(x-3)^2
Finally you want to add the constant back to the right side.
y=-1(x-3)^2+14 <——— vertex form
maximum=(3,14)
Answer:
x = 55°
Step-by-step explanation:
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Answer:
See explanation and image attached
Step-by-step explanation:
Acceleration refers to the rate of change of speed with time. We can see that between 0 and 4.7 seconds he accelerated quickly . That means that the rate of change of speed with time was greatest between 0 and 4.7 seconds.
A graph of the motion is shown in the image attached. We can see that he maintained a constant speed after 4.7 seconds.
Answer:
38.1 cm²
Step-by-step explanation:
area of full circle = π6² = 113.04 cm²
area of 150° segment = (150/360)(113.04) = 47.1 cm²
triangle base = sin 75° x 6 x 2 = 11.59
triangle height = cos 75° x 6 = 1.553
area of triangle = 1/2(11.59)(1.553) = 9 cm²
150° segment - triangle = 47.1 - 9 = 38.1 cm²