Answer:
(-1, -1) and (2, 2)
Step-by-step explanation:
Substitute for y in the first equation and solve the quadratic.
x = x^2 -2
x^2 -x -2 = 0 . . . . subtract x
(x -2)(x +1) = 0 . . . .factor
Solutions are the values of x that make these factors be zero:
x = 2, x = -1
Since y=x, the solutions are ...
(x, y) = (-1, -1) and (2, 2)
Answer:
14
Step-by-step explanation:
In an equation our aim is to find the value of what we are looking for as well as keeping the equation balanced. For example if we took away 16 only from one side then the equation would change so it's an important rule to bare in mind when solving equations, that you need to keep both sides of the equation the same.
4 ( d + 4 ) = 72
→ Expand the brackets
4d + 16 = 72
→ Minus 16 from both sides to isolate 4d
4d = 56
→ Divide both sides by 4 to isolate d
d = 14
Answer:
6.5
Step-by-step explanation:
11miles - 4.5miles
= 6.5 miles
To put a polynomial in standard form, combine all like terms and order the degrees of each term from highest to lowest, left to right.
since none of the terms are alike, move onto the degrees and variables.
+
-
. the degrees are already in the correct order, but the variables are not. move the -6x before the 3, making the equation
- 6x + 3, and it is in standard form.
Answer: The required confidence interval is (220.873,243.127).
Step-by-step explanation:
Since we have given that
Sample = n = 322
Mean = $232
Standard deviation= $36
At 94% confidence interval,
z = 1.88
So, the confidence interval for average would be
Hence, the required confidence interval is (220.873,243.127).
