65 is the answer. m = slope = delta y / delta x
delta y = 520 - 325
delta x = 8 - 5
Be well.
x + x + 3 + x - 8
3x - 5 = 55
3x = 60, x = 20
Since we put Julie as x, we put Janet at x + 3, and the brother is x - 8 (8 years younger)
Julie is 20
Janet (x + 3) = (20 + 3) = 23
Brother(x - 8) = (20 - 8) = 12
Answer:
y=9
Step-by-step explanation:
Slope: 9-9/-2-15=0
Therefore, y=0x+b
Plug values in: 9=0(-2)+b
0+b=9
b=9
Therefore, equation is y=9
Using derivatives, it is found that regarding the tangent line to the function, we have that:
- The equation of the line is y = 962x - 5119.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
The slope of the line tangent to a function f(x) at x = x' is given by f'(x'). In this problem, the function is given by:
f(x) = 5x³ + 2x + 1.
The derivative is given by:
f'(x) = 15x² + 2.
Hence the slope at x = 8 is:
m = f'(8) = 15(8)² + 2 = 962.
The line goes through the point (8,f(8)), hence:
f(8) = 5(8)³ + 2(8) + 1 = 2577.
Hence:
y = 962x + b
2577 = 962(8) + b
b = -5119.
Hence the equation is:
y = 962x - 5119.
More can be learned about tangent lines at brainly.com/question/8174665
#SPJ1
Answer:
C. 2x + 5
Step-by-step explanation:
Kelly: x
Tim: 2 × x = 2x
Jim: 2x + 5
hope it helps :)
