Answer:
1. x+4x
2. 5x
3. 
4. 4x-2x+15
5. 
Step-by-step explanation:
To write expressions remember these key words:
- a number is a variable like x
- sum is +
- difference and subtracted is -
- quotient is ÷
- product is ×
- reciprocal means flip like

- square is an exponent of 2 like

1. x+4x
2. 5x
3. 
Remember a quotient would be
but the reciprocal is
.
4. 4x-2x+15
5. 
The absolute value functions that contains the points are:
- f(x) = |x| + 2
- f(x) = |-x| + 2
<h3>Which could be the function represented by this graph?</h3>
Here we have the points (-3, 5), (0, 2), and (3, 5). We want to see which ones of the given functions have that points.
To check that, we need to evaluate the functions in the first value of each point and see if the outcome is the second value of the correspondent point.
For example, for the first equation:
- f(-3) = |-3| + 2 = 5 so it has the point (-3, 5)
- f(0) = |0| + 2 = 2 so it has the point (0, 2)
- f(3) = |3| + 2 = 5 so it has the point (3, 5).
The other option that also contains these 3 points is:
f(x) = |-x| + 2
- f(-3) = |3| + 2 = 5 so it has the point (-3, 5)
- f(0) = |-0| + 2 = 2 so it has the point (0, 2)
- f(3) = |-3| + 2 = 5 so it has the point (3, 5).
And all the other options can be trivially discarded (by evaluating them).
So the two correct options are:
- f(x) = |x| + 2
- f(x) = |-x| + 2
If you want to learn more about absolute value functions:
brainly.com/question/3381225
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Answer:
As per Provided Information
- Area of rectangle is 54 square inches
- Width of the rectangle is 9 inches.
We have to calculate the length of rectangle .
As we know the formula to find the Area of rectangle .

On substituting the value we obtain

<u>Therefore</u><u>,</u>
- <u>Length </u><u>of </u><u>the </u><u>rectangle </u><u>is </u><u>6</u><u> </u><u>inches </u><u>.</u>
Answer:
Slope: 1/2.5
Y-intercept: -1
Step-by-step explanation:
<h3>
Answer: Angle Q = 133 degrees</h3>
========================================================
Work Shown:
Recall that for any triangle, the three angles always add to 180
P+Q+R = 180
(x+13) + (10x+13) + (2x-2) = 180
(x+10x+2x) + (13+13-2) = 180
13x+24 = 180
13x = 180-24
13x = 156
x = 156/13
x = 12
Now that we know x, we can find the angle measures
- angle P = x+13 = 12+13 = 25 degrees
- angle Q = 10x+13 = 10*12+13 = 120+13 = 133 degrees
- angle R = 2x-2 = 2*12-2 = 24-2 = 22 degrees
As a way to check if we have the right answer or not, we see that,
P+Q+R = 25+133+22 = 180
So the answer is confirmed.