B. h(x) + 41 = 31x2 + 77x
C. y = 31x2 + 77x − 41
D. y + 41 = 31x2 + 77x
Answer:
I think the answer is A. y= 31x2 + 77x + 41
Step-by-step explanation:
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.
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.
#SPJ11
six
four
five
Answer:
The original price of the gift was $40.
Step-by-step explanation:
Let the original price of the gift be = x
Discount of 10% on the gift and each sister paid $9 means a total of dollars
We can write this information mathematically like :
Solving for x now;
x = $40
So, the original price of the gift was $40.
Not to scale
vertex angle =
Answer:
The measure of the vertex angle of the next isosceles triangle is 10°
Step-by-step explanation:
The given information are;
The first isosceles triangle; Base angles = 89°, vertex angle = 2°
The second isosceles triangle; Base angles = 88°, vertex angle = 4°
The third isosceles triangle; Base angles = 87°, vertex angle = 6°
The fourth isosceles triangle; Base angles = 86°, vertex angle = 8°
The vertices of the isosceles triangles form a arithmetic projection, with a common difference of 2°
Therefore, the vertex for next isosceles triangle = 8° + 2° = 10°
The base angles are derived from the sum of interior angles of a triangle which is 180°
Which gives;
2 × Base angles + Vertex angle = 180°
2 × Base angles + 10° = 180°
2 × Base angles = 180° - 10° = 170°
Base angles = 170°/2 = 85°
Base angles of the fifth isosceles triangle = 85°
From which we have;
The fifth isosceles triangle; Base angles = 85°, vertex angle = 10°
The measure of the vertex angle of the next (fifth) isosceles triangle = 10°