Select all statements that show correct reasoning for finding 15 ÷ 2/9 * Multiply 15 by 2, then divide by 9. Multiply 15 by 9, t
1 answer:
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Hello there!
The answer is B.
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Explanation and Work:
We first must identify if the line goes through the origin or not.
The origin is (0, 0)
The line does go through the origin. This means that there is no y-intercept
The specific equation we would you use would be:
y = kx
K is the constant
We find this by finding the slope.
Slope is found by:
y2 = 2
y1 = 0
x2 = 7
x1 = 0
Now, let's plug in these numbers.
So, now let's plug he slope into our formula.
y =
So, our answer would be B.
I hope I helped!
Let me know if you need anything else!
~ Zoe
The answer is B.
-----------------------------------------------------------------------------------------------------
Explanation and Work:
We first must identify if the line goes through the origin or not.
The origin is (0, 0)
The line does go through the origin. This means that there is no y-intercept
The specific equation we would you use would be:
y = kx
K is the constant
We find this by finding the slope.
Slope is found by:
y2 = 2
y1 = 0
x2 = 7
x1 = 0
Now, let's plug in these numbers.
So, now let's plug he slope into our formula.
y =
So, our answer would be B.
I hope I helped!
Let me know if you need anything else!
~ Zoe
If
then g(x) gives the signed area under f(x) over a given interval starting at 0.
In particular,
since the integral of any function over a single point is zero;
since the area under f(x) over the interval [0, 4] is a right triangle with length and height 4, hence area 1/2 • 4 • 4 = 8;
since the area over [4, 8] is the same as the area over [0, 4], but on the opposite side of the t-axis;
since the area over [8, 12] is the same as over [4, 8], but doesn't get canceled;
since the area over [12, 16] is the same as over [0, 4], and all together these four triangle areas cancel to zero;
since the area over [16, 20] is a trapezoid with "bases" 4 and 8, and "height" 4, hence area (4 + 8)/2 • 4 = 24;
since the area over [20, 24] is yet another trapezoid, but with bases 8 and 12, and height 4, hence area (8 + 12)/2 • 4 = 40, which we add to the previous area.