The general equation is y-k=a(x-h)² where (h,k) is the vertex.
So in this case we have y+12=a(x+6)².
Plug in x=0, y=-24: -12=36a, and a=-⅓. Therefore y+12=-⅓(x+6)².
Answer:
2/6
Step-by-step explanation:
if you multiply each factor by 2, you get 2/6 and if you simplify that you get 1/3.
1. The answer would be "-15" since integers are composed of whole numbers and negatives.
2. The statement "<span>Every real number is a rational number." is false, since real numbers are composed of both rational and irrational numbers.
3. The number "</span><span>8.52624 . . ." because this is the only non-terminating number, which makes it the only irrational number on the list.
4. "</span><span>Irrational numbers cannot be classified as rational numbers." is the only correct statement. No irrational numbers can be rational numbers, and the opposite is also true.
5. Only the statement "</span><span>Every irrational number is a real number.</span>" is true.
Answer:
Rehan;
76m
Step-by-step explanation:
Distance covered by running around square park :
Perimeter of square = 4s ; s = side length of square
Perimeter = 4 * 42m = 168 m
Total distance covered = 168m * 3 = 504m
Distance covered by running around rectangular park :
Perimeter of rectangle = 2(l + w) ;
Perimeter = 2(40 + 18) = 2(58) = 116 m
Total distance covered = 116m * 5= 580m
580m - 504m = 76m
Rehan covered more distance
The intercepts and the graph on your worksheet are not correct. Please see below for details:
has solutions at x=-1 and x=3 (use the quadratic formula to solve). That means these are the x-intercepts, namely points:
(-1,0) and (3,0).
The y-intercept comes from setting x=0 and calculating the y value:
so the y-intercept is (0,-3).
Now to the graph: Based on the form of the function we can see this is a quadratic function and its graph will be a parabola. You can reformat the expression in the following form
and that will indicate that the apex of the parabola (open up) will be at the point (1,-4).
Knowing the apex, the x intercepts, and the y intercept, we can graph it now.
Graph is in the image attached.
