Answer:
(2 , 0)
(1 , 0)
(4 , 0)
(0, -8)
Step-by-step explanation:
f(x) = x³ -7x² + 14x - 8
The y intercept occurs when x = 0.
This means the first three terms all go to zero an the result is y = -8
As we are given one factor, (x - 4), we know that one zero will occur when this factor is zero
x - 4 = 0
x = 4
taking out the x - 4 term from the quadratic
x³ -7x² + 14x - 8 = (x² ± Cx + 2)(x - 4)
we can see that
2x ± 4Cx = 14x
±4C = 12
C = 12/±4 = ±3
also
±Cx² - 4x² = -7x²
±C - 4 = -7
so C = -3
(x² - 3x + 2)
(x - 2)(x - 1)
x = 2
x = 1
5-2(x+6)=145-2x-12=14
-7-2x=14
-2x=21
-10.5
Answer:
$855
Step-by-step explanation:
The formula for simple interest is I = PRT where I is the interest paid/earned, P is the principal amount deposited/invested, R is the rate as a decimal, and T = time in years.
I = PRT
I = (4500)(0.019)(10)
I = $855
Answer:
C. 120°
Step-by-step explanation:
Answer:
The correct answer is A..
Step-by-step explanation:
From the Invertible Matrix Theorem (IMT) we have a set of equivalent conditions to determine if a square matrix is invertible or not. In particular, it says that a square matrix of dimension tex]n\times n[/tex] is invertible if and only if, its columns span the vector space tex]R^n[/tex].
In the particular case of this exercise we have a matrix of dimension tex]5\times 5[/tex]. So, by the Invertible Matrix Theorem its columns must span the vector space tex]R^5[/tex]. Now, according to the statement of the exercise this condition does not hold. Hence, the given matrix cannot be invertible.
