Slope-intercept form: y = mx + b [m is the slope, b is the y-intercept, or the y value when x = 0 ---> (0, y)]
To find the equation's y-intercepts, you can rearrange the variables, and isolate/get y by itself
#1
cx + ay = b Subtract cx on both sides
ay = b - cx Divide a on both sides
(0,
) is your answer
Do the same for the rest, and you should get:
#2 (0, )
#3 (0, )
#4 (0, )
Answer:
B) The x-intercepts are (−5,0) and (5,0). The y-intercept is (0,25). The vertex is (0,25). The axis of symmetry is x=0. The maximum value of the function is 25.
Step-by-step explanation:
Given that the function is:
It is quadratic equation, therefore we can observe that it is a parabola.
The coefficient of is negative, therefore it opens downwards.
That means <em>it will have a maximum value.</em>
This maximum value is at the vertex and where x = 0.
Also, vertex is at x intercept.
x intercept is the value of x where we have y = 0 and
y intercept is the value of y where we have x = 0
So, let us put y = 0 first.
Therefore x intercepts are at (5, 0) and (-5, 0)
Now, let us put x = 0,
Therefore y intercept is at (0, 25).
It is the point of maximum value (which is 25) and vertex of parabola as explained above.
Kindly refer to the attached image for the graph of given function.
Therefore, correct option is:
B) The x-intercepts are (−5,0) and (5,0). The y-intercept is (0,25). The vertex is (0,25). The axis of symmetry is x=0. The maximum value of the function is 25.
Answer:
Step-by-step explanation:
Constraint 1:
Let the total number of running shoes be = R
Let the total number of leather boots be = L
As the given number of total shoes are 48,
The equations becomes,
R + L = 48............(1)
Constraint 2:
As running shoes are twice the leather boots, equation becomes,
R = 2L..............(2)
Putting the value of R from equation(2) in equation (1)
Now putting the value of L in equation(2)
R= 2L
R =
R=32
Hence, Amanda needs 16 pairs of leather boots and 32 pairs of running shoes.