Help please. what does x equal.

Answer:

I think the answer is A. y= 31x2 + 77x + 41

Step-by-step explanation:

Final answer:

The function h(x) = 31x2 + 77x + 41 can also be written as y = 31x2 + 77x + 41, as y is often used interchangeably with f(x) or h(x) in mathematical functions. The remaining options do not accurately reformulate the original equation.

Explanation:

The function

h(x) = 31x2 + 77x + 41

can also be written as

y = 31x2 + 77x + 41

. This is because in mathematical functions, y is often used interchangeably with f(x) or h(x), representing the output or dependent variable. It's important to note that, the other options do not correctly represent the original equation. In Option B, the constant term is incorrectly added to the function on the left side; in Option C, the constant term is incorrectly subtracted; and in Option D, the constant term is incorrectly added to 'y' on the left side.

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Answer:

The correct option is;

D(4, 4)

Step-by-step explanation:

The given coordinates of the points are, A(2, 3) B(8, 7), C(6, 1), therefore, the coordinates of the point D that will make CD perpendicular to AB will have a slope = -1/m, where, m = the slope of the line segment AB

The formula for finding the slope, m, of a segment, given the coordinates of two points on the straight line segment (x₁, y₁), (x₂, y₂)

Therefore, for, the segment AB, we have;

m = (7 - 3)/(8 - 2) = 4/6 = 2/3

m = 2/3

Therefore, to make the segment AB perpendicular to the segment CD, the slope of the segment CD will be -1/m = -1/(2/3) = -3/2

The equation of the segment CD in point and slope form is therefore;

y - 1 = -3/2×(x - 6)

y - 1 = -3·x/2 + 9

The standard form of the equation of the segment CD is therefore;

y = -3·x/2 + 9 + 1 = -3·x/2 + 10

y =  -3·x/2 + 10

The point that satisfies the above equation is the point (4, 4) because;

4 =  -3 × 4/2 + 10

The correct option is therefore, D(4, 4).