Answer:
x f(x) g(x)
1 15 3
2 16 4
3 15 5
4 12 6
5 7 7
6 0 8
f(x) = g(x) when x = 5
Step-by-step explanation:
f(x) = -x² + 4x + 12
f(1) = -(1)² + 4(1) + 12 = 15
f(2) = -(2)² + 4(2) + 12 = 16
f(3) = -(3)² + 4(3) + 12 = 15
f(4) = -(4)² + 4(4) + 12 = 12
f(5) = -(5)² + 4(5) + 12 = 7
f(6) = -(6)² + 4(6) + 12 = 0
g(x) = x + 2
g(1) = 1 + 2 = 3
g(2) = 2 + 2 = 4
g(3) = 3 + 2 = 5
g(4) = 4 + 2 = 6
g(5) = 5 + 2 = 7
g(6) = 6 + 2 = 8
Answer:
3, in both a), b)
Step-by-step explanation:
a) The slope of the line tangent to the curve that passes through the point (2,-10) is equal to the derivative of p at x=2.
Using differentiation rules (power rule and sum rule), the derivative of p(x) for any x is 
. In particular, the value we are looking for is 
.
If you would like to compute the equation of the tangent line, we can use the point-slope equation to get 
b) The instantaneus rate of change is also equal to the derivative of P at the point x=2, that is, P'(2). This is equal to 
.
3) There are 12 inches in a foot, so 144/12 equals 12 feet- the distance above the floor. 12 goes into 40 about 3 times. 3 feet + 12 feet equals about 15 feet.
4) When you want to find the percentage of something, you would take the percentage and move the decimal place two spaces to the left. So 45% becomes .45. Then you would multiply that by the number of houses. .45 times 36 equals 16.2. Rounded to the nearest whole number, 16 houses display holiday lighting.
Answer: y= 6x +14 and you would be able to feed 6 people cause when the graph starts the first 4 already counted for and since 6 is needed for each addition person that would mean 2 more people can be fed cause 26-14=12 and 12 divided by 6 is 2
Slope intercept form is y= m(x) + b
