Let
g(x)--------> the translation of the function f(x)
we know that
the rule of the translation is
units left and units down
that means
so
In the function f(x) the point is equal at the point in the function g(x)
therefore
the function g(x) is equal to
<u>The answer is</u>
a) the rule of the translation is
b) The graph in the attached figure
1. First step: To get a term of x by itself, add 5 to both sides
Second step: This will become 3x<24
Third step: To separate 3x, divide everything by 3: 3x÷3 < 24÷3
Step four: x < 8
2. First subtract both sides by 12: - 2x + 12 - 12 < - 4 - 12
Second: This becomes - 2x < -16
Third: Divide by -2 to get x by itself - 2x ÷ - 2 > -16 ÷ - 2 Note: If you divide by a negative number, the inequality sign switches. This is a really important step that most students forget.
Fourth: x>8
Note: Try plugging in values when you are done if you are uncertain you have the right answer.
Answer and Step-by-step explanation:
Yes, the three side lengths could form a triangle.
To find out if the sides can form a triangle, you take the lowest side lengths and add them together. If they are <u>greater </u>than the longest side, then they can form a triangle. <u>If it is equal or less than the longest side,</u> then it CAN NOT form a triangle.
7.8 + 10.4 > 13
18.2 > 13
<u>So, the answer is Yes.</u>
<u><em>#teamtrees #PAW (Plant And Water)</em></u>