Answer:
f(x)= -2(x^2-x-6)
Step-by-step
The original formula is f(x)=a(x-h)+k
1) Plug the negative 2 in for a
2) multiply (x-3)(x+2)
3) plug your answer in for 2 in for the parentheses
To answer this item, we let x be the first positive integer. Then, the second would be x+1. Their reciprocals would be 1/x and 1/(x+1). Then, the equation that would best represent the scenario above is,
1/x + 1/(x+1) = 17/72
Solving the equation above,
((x+1) + x) / (x)(x+1) = 17/72
If we take the numerators of both sides of the equation,
(x+1) + x = 17
The value of x from the equation is 8 and x+1 would be 9. Thus, the answer would be 8 and 9.
Answer:
80:4 unit rate is 20:1
Step-by-step explanation:
In order to use a graph to write an equation, you first need to have plot points. Pick 2 points on the line if there isn't already any on the graph. After you find two points, find the slope. (Formula: y = mx + b) After you solve the slope, try finding the y-intercept. (Meaning: when x = 0, solve for y) The y-coordinate when you solve it is the value of "b" in the equation. (REMEMBER: y = mx + b) If you have any questions about the formula or the directions, remember to ask! Cheers, mimiisawesome5
