Discount is:
$42* (30/100)= $12.60
$42 -$12.60= $29.40
The sweater will cost $29.40 after the discount~
Answer:
The intersection point is (2,2)
Step-by-step explanation:
First let's find the equation of f(x), using the linear model:
Using the point (0, 6), we have:
Using the point (3, 0), we have:
So we have that 
To find f'(x) (the inverse of f(x)), we can substitute f(x) by x and x by f'(x) in the equation of f(x) and then isolate f'(x):
Now, to find the intersection point, we need to calculate f(x) = f'(x):
And the y-value is:
So the point is (2,2)
Step 1 :
(23 x 2 - 5) • x 3
Step 2 :
Trying to factor as a Difference of Squares :
Factoring: 8 x 2-5
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
Answer:
(8 x 2 - 5) • x 3
150
13+46= 59
59+87= 146
Round 46 to the nearest ten, which in this case would be 50 because the last number is larger than a 5.
Then add the 1 back in to make it 150.
We need the cross product of the two vectors.
a x b
=<2,-2,-3> x <3,2,2>
=
i j k
2 -2 -3
3 2 2
=<-4+6, -(4+9), 4+6>
=<2,-13,10>
The second vector is obtained by reversing the direction, namely <-2,13,-10>
Thus the two vectors are <2,-13,10> and <-2,13,-10>.
