Polynomial long division tends to be easier than numerical long division because the quotient term never needs adjustment. It is always the ratio of the highest degree terms of the dividend and divisor.

See the attachment for the intermediate steps.

7 0

3 years ago

Find the slope of the line that passes through (-64, -2) and (-29, 38).

ioda

The slope
m = (y2 - y1)/(x2 - x1)
m = ( 38 - -2)/ (-29 - -64)
m = 40/35
simplify
m = 8/7

Hope this helps

3 0

3 years ago

Is y = 1/4x^0.5 a power function? Explain your reasoning.

LenaWriter [7]

Answer:

$y =\displaystyle\frac{1}{4}x^{0.5}$

It is a power function.

Step-by-step explanation:

We are given the following function in the question:

$y =\displaystyle\frac{1}{4}x^{0.5}$

We have to check whether the given function is a power function or not.

Power Functions :

A power function is of the form:

$f(x) = ax^p,$

where a is a constant and not equal to zero and p is a real number.

Comparing the given function, we get:

$a = \displaystyle\frac{1}{4}\\\\p = 0.5$

Hence, the given function is a power function.

3 0

3 years ago