Answer:
It's irrational because it's not repeating or terminating decimal.
Step-by-step explanation:
<u>Answer:</u>
The solution set of given equations -x-y-z = -8 and - 4x + 4y + 5z = 7 and 2x + 2z = 4 is (3, 6, -1)
<u>Solution:</u>
Given, set linear equations are
-x – y – z = -8 ⇒ x + y + z = 8 → (1)
-4x + 4y + 5z = 7 ⇒ 4x – 4y – 5z = -7 → (2)
2x + 2z = 4 ⇒ x + z = 2 → (3)
We have to solve the above given equations using substitution method.
Now take (3), x + z = 2 ⇒ x = 2 – z
So substitute x value in (1)
(1) ⇒ (2 – z) + y + z = 8 ⇒ 2 + y + z – z = 8 ⇒ y + 0 = 8 – 2 ⇒ y = 6.
Now substitute x and y values in (2)
(2) ⇒ 4(2 – z) – 4(6) – 5z = - 7 ⇒ 8 – 4z – 24 – 5z = -7 ⇒ -9z – 16 = -7 ⇒ 9z = 7 – 16 ⇒ 9z = -9 ⇒ z = -1
Now substitute z value in (3)
(3) ⇒ x – 1 = 2 ⇒ x = 2 + 1 ⇒ x = 3
Hence, the solution set of given equations is (3, 6, -1).
A) You just fill in 0 for w in the problem and anything raised to the power of 0 is 1, so 230(1) is 230, and that is the old factory and at 0 for the new it is at 190. Subtract then explain why you did what you did.
B) I believe what they are asking for you to do, is you can take each week from the new factory and subtract it and find the equation for the new factory, you already know the growth rate for the old factory= 230(1.1)^w.
C) You take your old factory's equation and plug in numbers until one of them is greater at the new factory. Here it is the 5th week.
I guess answer is C y = -4x+3 when I do formula of Y= MX+b
The expression V − E + F is an illustration of the Euler's formula.
The expression V − E + F is always 2
<h3>How to determine the true statement?</h3>
The equation is given as:
V - E + F = 2
Where:
- V represents the vertices
- E represents the edges
- F represents the faces
According to the Euler's formula, the relationship between V, E and F is:
V + F = 2 + E
Subtract E from both sides
V - E + F = 2
Hence, the expression V − E + F is always 2
Read more about Euler's formula at:
brainly.com/question/12274716
