f(x) = (x + 5)(x - 1)
using the ' factor theorem '
given x = a is the root of a polynomial then (x - a ) is a factor
here roots are x = - 5 and x = 1 hence factors are (x + 5) and (x - 1)
the polynomial is the product of the factors
f(x) = (x + 5)(x - 1)
The original price was 725.
Explanation:
"36% less than" means taking 36% away from 100%. 100-36 is 64, so 64% remains when 36% is taken away. So, 64% of the original table's price is 464.
So, if the original price was x, 464=0.64x
Solve this by dividing both sides by 0,64:
725=x
So, the original price was 725.
SI =[PRT]/100
Interest = $15.62
Principal = $31
Time = 8
15.62 =[31 x R x 8]/100
15.62 x 100 = [31 x 8 x R]
[15.62 x 100] / [31 x 8] = R
1562/248 = R
6.298 = R
To the tenth
6.3 = R
Check
[31 x 6.3 x 8]/100 = 15.62
Hope that helps
To find the perfect square of an equation, you just take your "middle" term (in this case, 16), divide it by 2, then square it.
16/2 = 8
8^2 = 64
your perfect square is 64. you can check it really quick by trying to factor x^2 + 16x + 64 and seeing that it breaks down perfectly into (x + 8)(x + 8), which can be written as (x + 8)^2, showing that you have a binomial with a perfect square!!
Answer:
C. a reflection in the y-axis
Step-by-step explanation:
The mapping statement for the transformation of the vertices of the triangle ABC is given as following:
A(0,2)→A'(0,2)
B(2,9)→B'(-2,9)
C(4,2)→C'(-4,2)
To find the correct transformation for the given statement.
Solution:
From the given statements, the general transformation statement for the the vertices of the triangle can be given as:

The above transformation shows a reflection in the y-axis as the transformation in y-axis changes the sign of the x-coordinate of the point.