Answer:
B. Exponential
Step-by-step explanation:
The annual wolf population in each year is
w = 500 500(0.9) 500(0.9)² 500(0.9)³ …
n = 1 2 3 4 …
The model is w = 500(0.9)ⁿ⁻¹.
This is an exponential model, because the independent variable is in an exponent.
Answer:
5y +3
Step-by-step explanation:
3(y + 1) + 2y =
3y +3 +2y =
5y +3
This question is a little bit tricky. Anyway, the best answer to the question would be 2 points. The expected value of the number of points he will score would be two points in <em>every successful </em>free throw attempt he makes. It just has a probability of .40 - which means that ,say, in 10 free throw shots, there's a tendency he will only make 4 of them.
Answer:
Alternate interior angles have the same measure. As we know that 'angle 1 ' and 50° are alternate interior angles hence they must be equal. Also we now that sum of all the angles of a triangle is equal to 180°. Hence, m∠2=15°
Step-by-step explanation:
Answer:
y = (2/3)x + 4
Step-by-step explanation:
(Step 1)
Pick two points from the line.
Point 1: (0,4)
Point 2: (-6, 0)
(Step 2)
Use the point-slope formula to calculate the slope(m) of the line. This equation requires the input of the "x" and "y" values from the points.
y₁ - y₂ = m(x₁ - x₂) <----- Point-slope form
4 - y₂ = m(0 - x₂) <---- Plug in "x" and "y" values from Point 1
4 - 0 = m(0 - (-6)) <---- Plug in "x" and "y" values from Point 2
4 = m(6) <---- Simplify left side and parentheses
2/3 = m <---- Divide both sides by 6
(Step 3)
Use the slope-intercept formula to calculate the y-intercept of the line. This equation requires the input of one of the point's "x" and "y" values and the slope.
y = mx + b <---- Slope-intercept form
y = (2/3)x + b <---- Plug (2/3) in for "m"
4 = (2/3)(0) + b <---- Plug in "x" and "y" values from Point 1
4 = b <---- Multiply
(Step 4)
Now you have the necessary values to determine the equation of the graph. Substitute the values for "m" and "b" into the slope-intercept formula to find the final answer.
m = 2/3
b = 4
y = mx + b
y = (2/3)x + 4
