Answer:
Step-by-step explanation:
<u>The absolute value function is:</u>
<u>Step 1. Function is vertically stretched by a factor of 3:</u>
<u>Step 2. Shifted two units left:</u>
<u>Step 3. Shifted 5 units down:</u>
<em>See attached</em>
<em>Steps are </em><em>Black → Blue → Green → Red</em>
Answer:
I'd say you need to be more specific.
Step-by-step explanation:
"Different" doesn't tell you much.
Consider the equations ...
These equations are "different", but they are <em>dependent</em>.
_____
I'd mentally (or actually) put the equations in the same form and compare the coefficients of x and y. If they have different ratios, the system is independent and consistent.
If they have the same ratio, the system will not have a single solution. Whether there is no solution or an infinite number of solutions depends on the constant, which I would examine next.
The system above can be put in the form
In both cases, the ratio of the x coefficient to the y coefficient is 2/-1 = 4/-2 = -2. This means the lines are at least parallel, if not identical. The numbers in the second equation are all 2 times the numbers in the first equation, so the equations are <em>dependent</em>, and there are an infinite number of solutions. (Both describe the same line.)
If the second equation were 4x -2y = 1, then the two equations would be describing parallel lines, so they would be called <em>inconsistent</em>.
When x = 8 y = 15
The way to figure this out is to subtract 12 by 5. That’s 7 so there’s a difference of 7 between both of the numbers.
Hope this helped!
Answer:
61.25
Step-by-step explanation:
2 1/2 is 2.5 in decimal.
24.5*2.5
Multiplying 24.5 by 2.5 gives 61.25
The translation, <span> (x, y) → (x + 3, y – 2), means that the point on the X-axis would move 3, and because it's positive, it would move to the right 3.
Y</span>– 2 means the point on the Y-axis moves 2, and because it is negative 2 it moves down 2