Answer:
A, y = {x²+ 6 x < 3
{-x + 6 x ≥ 3
Step-by-step explanation:
the parabola (the u shaped graph or the graph that is on top) is expressed by the function x² + 6, as it is 6 units up from the origin (0,0)
the line is expressed by the function -x + 6, as its first reflected across the x axis from the origin (0,0) and is then shifted 6 units up
these functions on this graph represent a piecewise function
looking at x² + 6, we see that it has an open circle on (3, 15). this means that the x coordinate 3 is not included in the solution to the function, and any x values that would be included are less than 3. in an inequality, this is expressed as x < 3
looking at our answer choices, this matches answer A. but let me continue with the explanation in case you run into a question that doesnt have it that easy
when we look at -x + 6, we see that it has a closed circle on (3,4) (approx (3,4), not sure about y-coordinate but its still the same). a closed circle means that the x coordinate 3 is included in the solution, and any numbers <em>greater than 3</em> are included in the solution. as an inequality, this is expressed as x ≥ 3
again we look at our answer choices and see that A is the only choice that supports both of these functions, so A is our answer
Answer:
All of the above are true
Step-by-step explanation:
If you look at the first answer choice, you can see that line "s" and line "t" interest at one point. So the first answer choice is definitely true, but we have to continue looking at other answer choices to make sure.
All lines that intersect must intersect at a point, and in the photo that point is established as Point P. This makes the second answer choice also correct.
If we look at the third answer choice and the photo, we can see that point P is definitely on line t and s (when there are two lines intersecting at a point, that point is on those two lines). This shows that the third answer choice is also correct.
Since the fourth answer acknowledges that all of the other answers are correct, it is the correct answer.
You can simplify this expression with PEMDAS (parentheses, exponents, multiplication/division, addition/subtraction)
Start with the expressions in the parentheses:
4-7=-3
4+7=11
The expression now reads -2(-3)+5(11). Now, simplify the multiplication expressions:
-2*-3=6
5*11=55
The expression is 6+55 which is 61.
Hope this helps!!
Answer:
thts gon be 7y+2x+8
Step-by-step explanation: