Answer:
[2, positive infinity)
Step-by-step explanation:
the range is the interval of possible y-values or f(x) values.
for x<0 y is always and only 3.
for x between 0 and 2, y = x² + 2.
it clearly increases with increasing x. so, what is y for the smallest x ? the smallest x here is 0.
y = 0² + 2 = 2
for x larger or equal to 2, y = (1/2)×x + 5.
it again increases with increasing x. the smallest x here is 2.
y = (1/2)×2 + 5 = 1 + 5 = 6.
so, the smallest possible value for y is 2. and then it will approach positive infinity, when x approaches positive infinity. but it can never reach that (only after infinite time and at infinite x, so it is officially undefined), so that the interval is open on that end.
The equation will be
c = 1.50t + 5
5 is the initial cost of the pizza and 1.50 is the price of one topping and t is the number of toppings.
Hope this helps :)
![f(x)=4x+8\\y=4x+8\\x=4y+8\\\\](https://tex.z-dn.net/?f=f%28x%29%3D4x%2B8%5C%5Cy%3D4x%2B8%5C%5Cx%3D4y%2B8%5C%5C%5C%5C)
Proceed the inverse. Swap the x and y.
![x-8=4y\\\frac{x}{4}-\frac{8}{4}=y\\y=h(x)\\h(x)=\frac{x}{4}-2\\h(x)=\frac{1}{4}x-2](https://tex.z-dn.net/?f=x-8%3D4y%5C%5C%5Cfrac%7Bx%7D%7B4%7D-%5Cfrac%7B8%7D%7B4%7D%3Dy%5C%5Cy%3Dh%28x%29%5C%5Ch%28x%29%3D%5Cfrac%7Bx%7D%7B4%7D-2%5C%5Ch%28x%29%3D%5Cfrac%7B1%7D%7B4%7Dx-2)
So the answer is first one.
<span>Gymnast Clothing manufactures expensive hockey jerseys for sale to college bookstores in runs of up to 300. Its cost (in dollars) for a run of x hockey jerseys is
C(x) = 3000 + 10x + 0.2x2 (0 ? x ? 300)
Gymnast Clothing sells the jerseys at $105 each. Find the revenue function.</span>
Answer: The answer is 4.
Step-by-step explanation:
Distribute 3/4 with the (x+8). You will get 3/4x and 24/4, which is 6. Your equation will look like this: 3/4x +6=9. Subtract 6 to 9 to get 3. It will now be 3/4x = 3. Now divide 3/4 on both sides, and the answer will be x=4.