Answer:
Explanation:
Given 4x + 6y - 10x + 13y = 11
If (1, 1) is a solution, then substituting x = 1 and y = 1 into the left hand side of the equation gives 11.
Doing this, we have:
4(1) + 6(1) - 10(1) + 13(1)
= 4 + 6 - 10 + 13
= 13
The given function shows imply that the graph g(x) is shifted two units right and three units up.
Option B is correct.
<h3>What is the transformation of a function?</h3>
The transformation of a function occurs in a fancy way such that a function maps itself. f: x → x.
From the given information:
Let's take a look at the function f(x) that goes through 0 just when x = 0. Now we want to move it to the right by 2. It implies that it has to go through 0 when x = +2.
Now, we have to add 2 to x, then the function becomes f'(x) = f(x-2) will be shifted by 2 units to the right.
Similarly, the same scenario occurs when shifting up. Again imagine your function passes 0 when x = 0. We have to add 3. Now, the function f’’(x) = f(x) + 3 will be shifted by 3 units up.
Combining the two transformations, we have:
Therefore, we can conclude that the function implies that the graph g(x) is shifted two units right and three units up.
Learn more about the transformation of functions here:
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14)NO..... -2x+5y=10.....-2(-3)+5(2)=10.....6+10 is not =10
15)YES......-2x+5y=10....-2(-10)+5(-2)=10.....20-10=10
16)YES......-2x+5y=10.....-2(5)+5(4)=10......-10+20=10
3/12=1/4 simplified and in decimal form it is .25 so it is RATIONAL because it ends. A rational number is any number that can be put into a form of a/B and B doesn't equal zero