<h3>
Answer: D) 4 units to the left, 6 units down</h3>
Explanation:
f(x) = x^3
f(x+4) = (x+4)^3 .... shifts graph 4 units to the left
f(x+4) - 6 = (x+4)^3 - 6 ... shifts 6 units down
The change from x to x+4 means the xy axis has moved four units to the right (since each input is now 4 units larger). If we hold the curve y = x^3 to be completely still while the xy axis moves 4 units to the right, then the illusion of the curve moving 4 units to the left happens.
The -6 at the end does what you'd expect it to do, and there is no opposites going on here. Whatever the y value is, subtract 6 from it to get the new y value. Effectively this moves the graph down 6 units.
Answer:
35.84
Step-by-step explanation:
You would take 19% of 30.12$ by doing 30.12x0.19 to get 5.72.
you then add 5.72 to 30.12 to get your total of 35.84$
Answer:
2
Step-by-step explanation:
3 1/5 * 5/8
First, change 3 1/5 into an improper fraction.
3 1/5 = 16/5
Then, substitute it into the original equation.
16/5 * 5/8
Multiply the numerators and denominators.
16*5 / 5*8 = 80 / 40 = 2
Answer:
297.84 miles
Step-by-step explanation:
176 miles in 13 hours is 13.5 miles per hour
13.5 * 22 = 297.84
Answer:
the answer is (-4, 5)
Step-by-step explanation:
Let's use elimination by addition / subtraction:
-6x - 2y = 14
6x + 7y = 11
-------------------
5y = 25, so y = 5.
Substituting 5 for y in the 2nd equation, we get:
6x + 7(5) = 11, or:
6x + 35 = 11, or
6x = -24, or x = -4.
Thus, the answer is (-4, 5). Please double check to ensure you have copied down both system of equations and answer correctly.
Check: Is (-4, 5) a solution to this system?
Subst. -4 for x and 5 for y in the first equation:
-3(-4) - (5) = 7
12 - 5 = 7 YES