Answer:
21x^2-2x+1
Step-by-step explanation:
The area of shaded region= The area of the floor - area of the identical islands
The area of shaded region=(5x+1)^2-2*(2x)(x+3)=25x^2+1+10x-4x^2-12x=21x^2-2x+1
Answer:
Step-by-step explanation:
6x - 3 - 11
6(4) - 3 - 11
24 - 14
10
The attached picture is a summary of all the six transformations you'd do.
Any change outside the f(x) notation impacts y-values of points on the graph.
Any changes inside the f(x) notation impacts x-values of points on the graph.
The trick is that the inside changes are usually the opposite of what you'd expect to have happen.
7. y=f(x)+8
This is an outside change. You're adding 8 to all the y-values of points on the graph. This will shift your entire graph up 8 units.
8. y=f(x+6)
This is an inside change. Because it says "+6", you want to think, "Ah! That means I'll actually subtract 6 from the x-value of every point on the graph." This graph is shifted 6 units to the left.
9. y=-f(x)
Inside change, impacts y-values. Every y-value will be given the opposite signs. Negatives become positive and positives become negative. This will flip your graph over the x-axis.
10. y = f(-x) + 5
Give this one a shot on your own first in a comment and I'll let you know how you did.
11. y = - 3 f(x-3)
There are three things happening. A negative on the outside, multiplying by 3 on the outside, and subtracting 3 inside. What will each of those do individually? Take a shot on this one and let me know what you think.
12. y = 1/2 f( 1/2 x )
Again, three changes. Try this one and let me know what you think. Remember multiplying by 1/2 inside really means you'll do the opposite of multiplying by 1/2.
Answer:
.33
Step-by-step explanation:
If you add the times the dice was rolled and landed on a number greater than four, you would get 108. Then, you would divide that by 330 and you get .327. Round that up and you get .33
Answer: D
Step-by-step explanation:Lets label hot dogs as 'h' and soft drinks as 's'
6h + 4s = 13 (Equation 1)
3h + 4s = 8.50 (Equation 2)
We can solve by process of elimination.
Subtract equation 1 from equation 2.
We get:
3h = 4.5
h = 1.5
So that means that the hot dog costs $1.50 which is answer choice D.