Hey! Im counting on you guys!Ken drove 174 miles in 3 hours. The equation y = 57x represents the distance in miles, y, Brenda drove in x hours. Determine who had the faster driving speed and by how much.

Please form your answers like so:
Of the two drivers, (...) had the faster driving speed by (...) mile(s) per hour.

Answer:

5 hours and 15 bracelets

Step-by-step explanation:

Rachel makes 3 bracelets per hour so you can set that up as the equation y=3x.  Oliver can make 2 bracelets per hour but already has 5 so the equation for that is y=2x+5.  These equations form a system of equations because the values for x and y are the same in both equations. This is true because the goal is to find out when Rachel and Oliver swell the same amount of bracelets. In order to solve this, you must set both of the equations equal to each other, this can be done because both equations are equal to y.  The equation you now have is 3x = 2x+5.  This can be solved as you would solve any linear equation; by isolating the x value then dividing it.  In this case, when you do this you subtract 2x from both sides then get x=5 there is not a number multiplied by x so dividing, in this case, is not necessary.  Now plug the value of x back into one of the original equations, y=15 should be the answer.  Now you know that after 5 hours both Rachel and Oliver will have made 15 bracelets.  

Answer:

The figure is rotating clockwise

Step-by-step explanation:

Let us revise the cases of rotation

1. Rotation with positive direction (anti-clockwise)

- If the point (x, y) rotated about the origin by angle 90° anti-clockwise

∴ Its image is (-y, x)

- If the point (x, y) rotated about the origin by angle 180° anti-clockwise

∴ Its image is (-x, -y)

- If the point (x, y) rotated about the origin by angle 270° anti-clockwise

∴ Its image is (y, -x)

2. Rotation with negative direction (clockwise)

- If the point (x, y) rotated about the origin by angle 90° clockwise  (-90°)

∴ Its image is (y, -x)

- If the point (x, y) rotated about the origin by angle 180° clockwise  (-180°)

∴ Its image is (-x, -y)

- If the point (x, y) rotated about the origin by angle 270° clockwise  (-270°)

∴ Its image is (-y, x)

From the given

∵ The figure is rotating around the origin by d degrees

∵ d < 0, which means d is negative

→ According to rule 2 above

∴ The direction of rotation is clockwise

∴ The figure is rotating clockwise

The required polynomial to a 22nd degree is

Given the polynomial function, ,, we are to add one term to the polynomial to make it into a 22nd-degree polynomial.

Note the highest and leading power of the variable of any function is the degree of such function.

To convert the given polynomial to a 22nd-degree function, we will simply add a variable term x with a degree of 22 to have:

Hence the required polynomial to a 22nd degree is

Learn more here: brainly.com/question/2706981

Given:

The polynomial is

To find:

One term which is used to add in given polynomial to make it into a 22nd degree polynomial.

Solution:

Degree of a polynomial is the highest power of the variable.

Let,

Here, the highest power of x is 19, so degree of polynomial is 19.

To make it into a 22nd degree polynomial, we need to need a term having 22 as power of x.

We can add , where k is constant.

So add in the given polynomial.

Now, the degree of polynomial is 22.

Therefore, the required term is .