When we have consecutive values, f(10), f(11), f(12), f(13), f(14), we can make a difference table to determine the degree of f as a polynomial. A quadratic will have a constant second difference:
x 10 11 12 13 14
f(x) 50 71 94 119 146
1st diff 21 23 25 27
2nd diff 2 2 2
We got a constant second difference, so f is a polynomial of degree two.
Answer: This function is quadratic
Answer:
y = 7/5x + 18/5
Step-by-step explanation:
so we have y = mx + b
f(1) = 5
f(-4) = -2
so let's find b
so like if you do (5 - (-2))/(1 - (-4)) you get (5 + 2)/(1 + 4) = 7/5
y = 7/5x + b
so now we can plug in a value like f(1) = 5
5 = (7/5)1 + b
b = 18/5
Answer:
Top left and bottom right
Step-by-step explanation:
you know there right triangles because the legs squared (two short sides of the triangle) add up to the hypotenuse squared (long side of triangle)
Pythagorean theorem
a²+b²=c²
a=leg, b=leg, c=hypotenuse
Hence, the distance between (7,8) and (-8,0) is:17
explanation: (a,b)=(7,8) and (c,d)=(-8,0)
Answer:
11811 feet
Step-by-step explanation:
Hope it helps!