Answer:
A. 9y - x = 2
Step-by-step explanation:
9y - x = 2. First to get x on the other side we add x to both sides gettings us this. 9y -x + x = 2 + x or just 9y = x + 2. Then divide by 9 to get y alone. We then get y = x/9 + 2/9. The rate of change is clearly not y = 9x here, it's y = x/9 or 1/9x.
Answer:
C. 98
Step-by-step explanation:
The sum of angles interior to a triangle is 180°, so you have ...
x + 38° + 44° = 180° . . . the sum of the angles (this is your equation)
x + 82° = 180° . . . . . . . . collect terms
x = 180° -82° . . . . . . . . . subtract 82° from both sides of the equation
x = 98° . . . . . . . . . . . . . . do the arithmetic
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<em>Comment on the equation</em>
The relations you learn about in math and geometry can all be translated to equations. When you learn "something" <em>is</em> "something else", anytime you have "something", you can always write the equation ...
something = (something else)
When you find out "the sum of angles" is "180 degrees", that means you can write the equation ...
(sum of angles) = 180°
Of course, you find a sum by adding things up. In this case, you're adding up the values of the angles: x, 38°, 44°. The next step is to use the rules of algebra to solve the equation for x.
Answer:
11
Step-by-step explanation:
You replace all the x with 12 when its f(12). if its f(3) you would replace all the x with 3.
So,
f(12)=2/3(12)+3
f(12)=8+3
f(12)=11
First, factor the expression on the top. What two numbers add to get 8 and multiply to 15? 5 and 3! so the top expression factors to (x+3)(x+5). You can cancel the x+3 from the denominator and end up with x+5. Make sense?
