Our matrix C is the encoder. Let X be our secret message and let B be our encoded message. Therefore the relationship between the 3 can be represented as:
CX = B
So we want to solve for X (our secret message). So using matrix algebra:
X = C^-1*B
where C^-1 is the inverse of C.
C^-1 = | 3 -2 |
|4 -3 |
So we take C^-1 and multiply it by matrix B to get X. Matrix B is already given to us. So just multiply those two. I used a calculator to get:
X = | 20 8 5 3 15 12 15 |
| 18 9 19 2 12 21 5 |
And since A = 1, B = 2, C = 3, etc....
We decode our message and it says:
X = | T H E C O L O |
| R I S B L U E |
So the answer is: The color is blue (D)
Answer:
Adam's car will be 8,406£ in 22 years.
Step-by-step explanation:
I. Find the lose value of 2.5% car by
2.5/100 = x/18,680
46,700/100 = x
x = 467 or the lose value in 1st year.
II. Find the true value of Adam's car by
n year = 18,680 - 467(n)
1st = 18,680 - 467(1)
= 18,213 means if he sell his car now, he'll get 18,213£
22th = 18,680 - 467(22)
= 18,680 - 10,274
= 8,406£
That makes 8,406£ is the right answer.
Hope that help :)
Answer:
Uh no pic
Step-by-step explanation:
Thanks for free pts
can have brainliest
Answer:
a) The perimeter of a rectangle is written as:
P = 2*L + 2*W
where L is the length amd W is the width (broad in this case).
here we have:
L = 8cm and W = b
then the perimeter is:
P = 2*8cm + 2*b
And we know that:
18cm ≤ P ≤ 50cm
where ≤ is used because there is written "not more" and "not less", so the equalities are allowed
now we can replace P by the above equation:
18cm ≤ 16cm + 2*b ≤ 50cm
now we can subtract 16cm in each side and get:
18cm - 16cm ≤ 2*b ≤ 50cm - 16cm
2cm ≤ 2*b ≤ 34cm
Now we can divide each side by 2.
1cm ≤ b ≤ 34cm/2 = 17cm
1cm ≤ b ≤ 17cm.
b) Here we have missing information, so this can not be answered.
(only knowing that one side length is x, and another side length is x + 3cm, we can know that x > 0cm, so the minimum value of x is really close to 0cm)