Answer:
Step-by-step explanation:
y = ax² + bx + c
Plug the points into the equation to get a system of 3 equations with 3 unknowns a, b, and c.
-27 = 4a - 2b + c
-42 = 9a + 3b + c
-12 = a + b + c
(a,b,c) = (-4,1,-9)
y = -4x² + x - 9
Answer:
- 1 pound- $4.7
- 2 pounds- $9.4
- 3 pounds- $14.1
- 4 pounds- $18.8
Step-by-step explanation:
Just hardware's prices are 0.30 greater per pound, so the equation would be y=4.7x. Substitute x in for each of the values to get the prices above.
Answer:
Step-by-step explanation:
An eigenvalue of n × n is a function of a scalar
considering that there is a solution (i.e. nontrivial) to an eigenvector x of Ax =
Suppose the matrix ![A = \left[\begin{array}{cc}-1&-1\\2&1\\ \end{array}\right]](https://tex.z-dn.net/?f=A%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D-1%26-1%5C%5C2%261%5C%5C%20%5Cend%7Barray%7D%5Cright%5D)
Thus, the equation of the determinant (A -
1) = 0
This implies that:
![\left[\begin{array}{cc}-1-\lambda &-1\\2&1- \lambda\\ \end{array}\right] =0](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D-1-%5Clambda%20%26-1%5C%5C2%261-%20%5Clambda%5C%5C%20%5Cend%7Barray%7D%5Cright%5D%20%3D0)



Hence, the eigenvalues of the equation are 
Also, the eigenvalues can be said to be complex numbers.
Answer: 0.07
Step-by-step explanation: Since it is a binomial experiment , we will use the formula:
n C r 

p = 0.35
q = 1 - 0.35 = 0.65
n is the number of trials = 7
r = 3
substituting into the formula, we have
7 C 3 (

= 35(

=0.0736
to the nearest tenth
= 0.07