Answer:
A reflection in the x-axis, and a vertical translation of 8 units down
Step-by-step explanation:
The given function is
![f(x) = \sqrt[3]{x}](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%20%5Csqrt%5B3%5D%7Bx%7D%20)
The transformed function is
![g(x) = - \sqrt[3]{x} - 8](https://tex.z-dn.net/?f=g%28x%29%20%3D%20%20-%20%20%5Csqrt%5B3%5D%7Bx%7D%20%20-%208)
To see the transformation that occurred, we can rewrite g(x) in terms of f(x).
That is:
Therefore f(x) is reflected in the x-axis and translated 8 units down.
The resulting graph decreases from left to right over its entire domain.
Answer:
6.
Step-by-step explanation:
We can start by defining a couple things.
x = amount of nickels
y = amount of dimes
Since he has the same amount of each, we can say this.
x = y
And because we know it totals 0.90, we can say this.
0.05x + 0.10y = 0.90
then, we substitute and get this.
0.05x + 0.10x = 0.90
Simplify.
0.15x = 0.90
Divide both sides by 0.15.
x = 6
So we have 6 nickels, and they both are the same, so we have 6 dimes.
The area of the trapezoid is letter d
Answer:
y=10-x
Step-by-step explanation:
1. Find the slope of the equation using the formula (change in y/change in x)
(3-7)/(7-3)=-4/4=-1
2. Plug in the slope and one of the coordinate points to the slope-intercept form to find the y-intercept.
slope-intercept form: y=mx+b
7=-3+b
b=10
3. Put the slope-intercept form of the equation together.
y=10-x
