Call : x - 4y + z = 6 (e1) == > z = 6 - x + 4y 2x + 5y - z = 7 (e2) 2x - y - z = 1 (e3)
sub z from e1 in e2 you have : 2x + 5y - 6 + x - 4y = 7 ==> 3x + y = 13 ==> 3x = 13 - y (*)sub z from e1 in e3 you have: 2x - y - 6 + x - 4y = 1 ==> 3x - 5y = 7 (**)
sub 3x from (*) in (**), you have 13 - y - 5y = 7 ==> 6 = 6y ==> y = 1sub y = 1 into (*), you have: 3x = 13 - 1 = 12 ==> x = 4
sub both y = 1 and x = 4 into (e1), you have: 4 - 4(1) + z = 6 ==> z = 6
so answer : x = 4, y = 1, z =6 (you can use these values to check other equations to see if they come out all right)
Answer: 10.1246 years (approx)
Step-by-step explanation:
Here, She invests in a CD with an annual interest rate of 6.90% compounded quarterly.
Let the initial amount or principal = P
And, Let after t years it is doubled.
Therefore, 
⇒ 
⇒
( By taking log both sides)
⇒
⇒t= log 2/log 1.07080599536= 10.1245504311≈10.1246 years
Answer:
y = 3
Step-by-step explanation:
Since the equation is parallel to the x-axis, it is a horizontal line, which means it has a slope of 0. Since anything times 0 is 0, that means x times 0 is 0, so we can take that out of the equation. That only leaves the y-intercept, which is 3. Substituting it into the equation, we get y = 3.
Hope this helps!
If you still don't understand or need help, send a comment or message.
Answer:
(w² + 7) (w − 2)
Step-by-step explanation:
w³ − 2w² + 7w − 14
Factor w² from the first two terms, and 7 from the second two terms.
w² (w − 2) + 7 (w − 2)
Factor out w − 2.
(w² + 7) (w − 2)
Answer:
the answer is C. No, it fails the vertical line test.
