Answer: <em>Choice B is correct. </em>
Answer:
"(1.) 2"
Step-by-step explanation:
Whenever we are given a notation such as:
A(x) = z
We can say that for the value of x, we get a value of z
The x value is the x-coordinate and the z value is the y-coordinate that corresponds to it in the graph.
We are given,
B(x) = -1
So, we can say:
at a certain x value the y-value is -1
Now, we look at y = -1 line and find the point.
This is the "lowest" point on the graph shown that corresponds and falls on y = -1. Now, which x-value does it correspond to??
<em>It corresponds to x = 2, because it is located at 2 units in x-direction and down 1 unit (which is y = -1).</em>
<em />
<em>So x value is x = 2</em>
<em>Answer choice 1 is right.</em>
<em>(1.) 2</em>
Answers: See each part below.
1) The scale factor on Map 1 is 1cm = 2 km. It is given in the key in the bottom right corner.
2) The length of the trail would be 16 km. Since each cm is 2 km, we multiply the 8 by 2 to get a total of 16.
3) The scale factor from the first map to the second map is 0.75. To find this we can write and solve the following equation to determine the change from Map 1 to Map 2.
8k = 6
k = 0.75
4) To find the lengths of the sides of the landmark, just change the mm into cm and use the scale factor for each.
5 mm is 0.5 cm. 0.5 x 2 = 1 km
3 mm is 0.3 cm. 0.3 x 2 = 0.6 km
4 mm is 0.4 cm. 0.4 x 2 = 0.8 km
6 ≤ 5(x - 4) -2(-x + 1)
First, distribute 5 to all terms within the first parenthesis, and -2 to all terms in the second parenthesis
6 ≤ (5x - 20 + 2x -2)
Combine like terms
6 ≤ (5x + 2x - 20 - 2)
6 ≤ 7x - 22
Isolate the x. Do the opposite of PEMDAS. Note that what you do to one side you to the other.
Add 22 to both sides
6 (+22) ≤ 7x - 22 (+22)
28 ≤ 7x
Divide 7 from both sides
28/7 ≤ 7x/7
28/7 ≤ x
4 ≤ x is your answer
Use a closed dot (because of the equal underneath) on 4, and go left with an arrow
hope this helps
