Use the binomial theorem and multiplication to expand (1- x^2)(2-3x)^3
1 answer:
You might be interested in
Cost of 1 shirt is and cost of one sweater is
<u>Solution: </u>
Given that Jane’s buying clothes.
She can get 5 shirts & 4 sweaters for
She can get 2 shirts & 3 sweaters for
Need to determine cost of 1 shirt and 1 sweater.
Let assume cost of 1 shirt =
And assume cost of 1 sweater =
Let us create equations from give conditions
First condition is Cost of 5 shirt + cost of 4 sweater =
So using first condition equation which we get is as follows
Second condition is Cost of 5 shirt + cost of 4 sweater =
So using second condition equation which we get is as follows
Now we have two equations to be solved
On multiplying equation (1) by 2 and equation (2) by 5 to make coefficients of x equal in both equations, we get
On subtracting (3) from (4), we get
On substituting y = 26 in equation (1) we get
Cost of 1 shirt =
Cost of 1 sweater =
<h3>Answer: 29 goes in the box</h3>
===============================================
Explanation:
The two endpoints are (-3,1) and (-1,-4)
Apply the distance formula
So the approximate distance is roughly 5.38 units and the exact distance is units.
--------------
As a slight alternative, you can plot the point (-3,-4) and draw a right triangle. Then apply the pythagorean theorem to find the length of the hypotenuse. The vertical and horizontal legs are 5 and 2 units respectively.
It turns out that the distance formula is essentially a modified form of the pythagorean theorem.