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Answer: x4 + 4x3 + 10x2 is the correct option
Step-by-step explanation:
The standard form a a polynomial depends is written with respect to the highest power to which the variable or unknown of that polynomial is raised. The term which is raised to the highest power always begin the polynomial. This is followed by the other terms whose variables or unknowns has lower are raised to lower powers and it is in a descending order.
Looking at the polynomials given, the only one written in standard form is
x4 + 4x3 + 10x2
The powers of x are arranged in a descending order.
We need to find two relations, and use them to find the value of y when z = 15.
We will see that the value of y in that case is 4,860.
We know that <u>y varies inversely with the square of x</u>, also <u>y is also proportional to the cube of z</u>
Then we can write:
y = k/x^2
y = c*z^3
We also know that:
When x = 3, y = 80.
Replacing that in the first equation to find the value of k:
80 = k/3^2
80 = k/9
80*9 = k = 720
We also know that when x = 2, z = 5
From the first relation we have:
y = 720/2^2 = 720/4 = 180
Now we replace this in the equation of y and z:
y = c*z^3
180 = c*5^3
180 = c*125
180/125 = c = 1.44
Now we need to calculate y when z = 15, then we just need to replace z by 15 in the equation for y and z:
y = 1.44*(15)^3 = 4,860.
If you want to learn more, you can read:
brainly.com/question/2548537
The y-coordinate of the midpoint of a line segment is the average of the y-coordinates of the endpoints of the line segment.
This is: call y1 the y-coordinate of one endpoint and y2 the y-coordinate of the other endpoint of the line segment, then the midpoint is [y1 + y2] / 2.
The method, then, is to add the two y-coordinates and divide by 2.
For the vertical line segment with endpoints (0,0) and (0,15) theprocedure is [0 + 15] / 2 = 15/2 = 7.5, and the result is 7.5
The product 3.09 x 304.87 = 942.0483
