Answer:
Point-slope form: y + 3= -1(x + 4)
Slope-intercept form: y = -1x - 7
y = m * x + b,
where:
m is the slope; and
b is the intercept of the y-axis.
1. Observe that the f(t) is change by 4 per time t => there's a acceleration of 4 => f''(t) = 4; Take the derivative of it we can get a velocity function. f'(t) = 4t + c. Since the velocity from 100 to 80 is -20 (average), this means at t = 0, f'(0) = -22 => f'(t) = 4t - 22; Take the derivative again to get the position function: f(t) = 2t^2 - 22t + d, here d = 100 should be trivial. So, the function that models the relationship is f(t) = 2t^2 - 22t + 100.
2. By the compound interest formula:
A = P (1 + r/n)^(nt) , since it's yearly, so n = 1;
results A(t) = 100 (1+0.12)^t.
3. The average rate of change is basically finding the slope, m = y1 - y2 / x1 - x2.
Answer:
x= -3
Step-by-step explanation:
2x+14= 8
2x= -6
x = -3
Answer:
see the procedure
Step-by-step explanation:
Remember that
To convert feet to inches multiply by 12
To convert minutes to seconds multiply by 60
we have
We must remember that average is simply the sum of all the
scores divided by the number of scores. So:
165 = (157 + 161 + X) / 3
Calculating for the score of the third bowler X:
318 + X = 495
X = 177
Therefore the score of the third bowler must be 177 or
greater. Hence:
<span>X ≥ 177</span>
