Let us assume the small integer to be = x
Then
The second consecutive greater integer = x + 1
The sum of two consecutive integers is already given in the question and it is 125. based on this given information, the answer to the question can be easily reached.
So
x + x+ 1 = 125
2x + 1 = 125
2x = 125 - 1
2x = 124
x = 124/2
= 62
Then
The largest of the two integers = x + 1
= 62 + 1
= 63
So 63 is the largest integer among the two consecutive integers. I hope the procedure is not very tough for you to understand.
Answer:
Step-by-step explanation:
cos(∠X) = adj./hyp.
arccos(adj./hyp.) = ∠X
arccos(13/18) = 43.761...≈ 43°
Answer:
Step-by-step explanation:
5,750
-10
-----------
5740
-10
----------
5730 gallons left
F(x) = x² - 4x -5, factored is simply f(x) = (x - 5)(x + 1).
if you zero out f(x), namely 0=(x-5)(x+1), that simply gives you the zeros of 5 and -1.
now, from ----- -1------0---------------------------------5, notice from -1 to 5, there are 6 units, and half of 6 is 3, so, the half-way is 3 units away from either zero.
so we can get to the half-way point by -1 + 3, or 2, x = 2, that's where the vertex is at, but you already knew that, and of course the y-coordinate is at f(2) = (2)² - 4(2) - 5, which is -9, so the vertex is indeed at (2, -9).
now to draw it, well, surely you can, simply use the zeros location, -1 and 5, and draw a bowl between them, with the bottom of the bowl at 2, -9.
24-12= 3n
if she had 12 pounds left over, then what she originally had minus 12 would give the amount she spent. If you divide that number by 3, you'll get what each notebook cost
