Answer:
x ≈ - 5.32, x ≈ 1.32
Step-by-step explanation:
Given
x² + 4x - 7 = 0 ( add 7 to both sides )
x² + 4x = 7
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(2)x + 4 = 7 + 4
(x + 2)² = 11 ( take the square root of both sides )
x + 2 = ± ( subtract 2 from both sides )
x = - 2 ±
Thus
x = - 2 - ≈ - 5.32 ( to 2 dec. places )
x = - 2 + ≈ 1.32 ( to 2 dec. places )
Answer:
The expression to determine the total cost in dollars is .
Step-by-step explanation:
Given:
Service charge to make a photo book = $20
Cost per extra page = $0.75
Cost to ship the complete photo book = $5
We need to write expression to determine the total cost in dollars.
Solution:
Let the number of extra pages be denoted by 'x'.
Also Let the Total cost be denoted by 'y'.
Now we can say that;
Total cost will be equal to sum of Service charge to make a photo book and Cost per extra page multiplied by number of extra pages and Cost to ship the complete photo book.
framing in equation form we get;
Hence the expression to determine the total cost in dollars is .
Answer:
He can drive 481 miles if David rents his car for three days
Step-by-step explanation:
This is true because if you take the 24.95 and multiply it by 3, because he rented it for three days, you'll get 74.85. Then you'll subtract 200 (the total money that can be spent) by 74.85 you'll get 125.15. Divide the remaining number, 125.15 by 0.26 to get 481.34. Take the decimals away because you don't need it, if you want to be sure it's correct you can multiply 481 by 0.26 to get 125.05 which is lower than 125.15 so it good because if you use 482 besides 481 it will be higher than the amount of money David can spend, that's why 481 is the right answer.
Answer:
A solution is said to be extraneous, if it is a zero of the equation, but it does not satisfy the equation,when substituted in the original equation,L.H.S≠R.H.S.
The given equation consisting of variable , m is
None of the two solution
, is extraneous.
Here, L.H.S= R.H.S
Option A: 0→ extraneous