Let x = the number of penguins we are finding
x ÷ 100 × 30 = 15
x = 15 ÷ 30 × 100
x = 50
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6x + 3y = -9
3y = -6x - 9
y = -2x - 4.5
slope (m1) of this line is -2
slope of the perpendicular line,
m2 = - (1/m1)
m2 = - (1 / -2)
m2 = 1/2
Answer:
y = 1/5x + 8
Step-by-step explanation:
slope = (change in y)/(change in x)
Slope = (8 -10)/(0 -10)
Slope = -2/-10
Slope = 1/5
Use y = mx + b substitute m = 1/5 and (0, 8)
8 = 1/5(0) + b
8 = 0 + b
8 = b
The equation of the equation y = 1/5x +8
Answer:
g(x) has an axis of symmetry at x = 3.
g(x) is shifted right 3 units from the graph of f(x)
g(x) is shifted up 4 units from the graph of f(x).
Step-by-step explanation:
The parent function is:

The transformed function is
.
This new function can be rewritten in the vertex form as:

This function is obtained by shifting the parent function 3 units right and 4 units up.
The axis of symmetry is x=3;(x=h) and h=3.
There is no horizontal stretch or compression.
The new function is however reflected in the x-axis
It is a cubic function that is down up (the direction of the ends) and has roots at (figure out the roots either 1/2/3)