Answer:
i. D:All real numbers
ii.R:

iii. Y-int:

Step-by-step explanation:
The given function is

The domain of this function are the values of x that makes the function defined.
The absolute value function is defined for all real values.
The domain is all real numbers.
ii. The range refers to the values of y for which x is defined.

The vertex of this function is

The function is reflected in the x-axis.
The vertex is therefore the maximum point on the graph of the function.
The range is therefore;
Or
![(-\infty,2]](https://tex.z-dn.net/?f=%28-%5Cinfty%2C2%5D)
iii. To find the y-intercept, we substitute

into the funtion.



The y-intercept is

The graph is shown in the attachment.
Answer:
y = 1/3
Step-by-step explanation:
<u>Step 1: Factor</u>
9y^2 - 6y + 1 = 0
(3y - 1)(3y - 1) = 0
(3y - 1)^2 = 0
<u>Step 2: Solve for y</u>
3y - 1 + 1 = 0 + 1
3y / 3 = 1 / 3
y = 1/3
Answer: y = 1/3
75,314 because it is only 5 numbers so this is correct.
Answer:
A
Step-by-step explanation:
3 cups of flour produces 2 batches of dinner rolls. So, if one batch makes 15 rolls, then 2 batches makes 30 rolls. Therefore, 3 cups of flour produces 30 rolls.
Laura wants to find how much flour she needs to make 12 rolls.
Here's the setup:
Let x be the number of cups of flour needed. Then,
(3 cups of flour)/(30 rolls)=(x cups of flour)/(12 rolls)
This is the set up for all equations involving ratios. The units should be consistent. Notice how I have flour/rolls=flour/rolls.
It is not necessary to solve the equation, but you should to make sure your answer makes sense. By cross-multiplying, we get x=(3*12)/30 or 1.2 cups.
This solution makes sense. Because 3 cups of flour produces 30 rolls, one cup produces 10 rolls. We need slightly more than 1 cup to get 12 rolls.