Step-by-step explanation:
this line goes through the points (0, -3) and (4, 0).
so, the y-axis intercept is at y = -3.
therefore, the equation has to end with "- 3".
the slope (the factor of x in the equation) is the y/x ratio of the changes of y and of x when going from one point to the other :
x changes by 4 positive units (from 0 to 4), and y changes by 3 positive units (from -3 to 0).
so, the slope is 3/4.
and so, the equation is
y = (3/4)x - 3
Answer:
Correct Option: B
Step-by-step explanation:
Linear functions are the type of functions that are applied to model occurrences that rise or fall at a constant proportion. These sorts of functions are polynomial functions with a maximum exponent of one on the variable. The graphs of these kind of functions are in the form of a line.
Exponential functions are the type of functions that have the variable in exponent form. The growth rate or decline rate is either slow than quick or quick than slow.
Quadratic functions are of the form f (x) = ax² + bx + c. The graph of this function is in the form of a parabola. The graph first increases, hit a maximum, then decreases or decreases, hit a minimum, then increases.
From the provided graphs it can be seen that, the exponential function grows at approximately the same rate over the interval 0 ≤ x ≤ 1 as the quadratic function.
Answer:
A, -92
Step-by-step explanation:
hope it helps
Answer: Kate = 40/3 Her father = 50
Step-by-step explanation:
Let Kate's age in the present be K
And Kate's father's age in the present be F
3(K+5) = F+5
6(K-6) = F-6
Rearrange the first equation to get
3K+15 = F+5
3K+10 = F
Substitute that into the second question
6K-36 = 3K+10-6
3K = 40
K = 40/3
So F = 3*40/3+10 = 50
These triangles are congruent by AAS condition hence the statement is true
