You know 1 is not a root because the sum of the coeffcients of the equation is 14, not zero.
It is fairly easy to try 3 by synthetic division (see attachment), which tells you that 3 is a root and the remaining quadratic factor is x²-3x-5. The quadratic formula tells you the roots of that factor are
... x = (-b±√(b²-4ac))/(2a) = (3±√29)/2
The appropriate choices are
... C. (3-√29)/2
... D. (3+√29)/2
... F. 3
_____
The quadratic formula tells you the solution to
... ax²+bx+c=0
is x = (-b±√(b²-4ac))/(2a)
We have a=1, b=-3, c=-5.
Answer:
D) h(3)-h(0)/3
Step-by-step explanation:
The average rate of change is found by subtracting the output values (finding the amount of change in the output values) and dividing it by the change in the input values.
The height in the 3rd second would be given by h(3). The original height would be given by h(0). The change in output values would be given by h(3)-h(0).
The change in input values is found by subtracting the two input values, in this case 3 and 0; 3-0 = 3.
This gives us
h(3)-h(0)/3
Answer:
y=5x+3
Step-by-step explanation:
Hi there!
We are given that a line has a slope of 5, and a y intercept of (0,3)
We want to write the equation of this line in slope-intercept form
Slope-intercept form is written as y=mx+b, where m is the slope and b is the value of y at the y intercept
Since we were given the slope and the y intercept, we can simply substitute these values into the formula to find the equation.
Starting with the slope:
Substitute 5 as m into the equation
y=5x+b
Now for the y intercept:
As stated before, b is the value of y at the y intercept; in this case, b is equal to 3
Substitute 3 as b into the equation.
y=5x+3
Hope this helps!
See more on this topic here: brainly.com/question/22607472
