Answer:
- (-11.70, -2.05), (4.70, 5.10)
Step-by-step explanation:
<u>Given equations</u>
<u>Solving the first equation for x:</u>
- (x+5)(x+2)=65
- x^2 + 7x + 10 = 65
- x^2 + 7x - 55 = 0
- x = (-7 ± √(49+4*55))/2
- x = -11.70, x = 4.70
<u>Then solving for y:</u>
- y= 24/(-11.7) = -2.05
- y = 24/4.7 = 5.10
<u>Solution set: </u>
- (-11.70, -2.05), (4.70, 5.10)
R= $42 rental cost per day
Mileage= $0.20 per mile
m= number of miles driven
Budget= $98 per day
EQUATION
$98> $0.20m + $42
SOLUTION
$98> $0.20m + $42
subtract 42 from both sides
$56> $0.20m
divide both sides by $0.20
280> m
They have to drive less than 280 miles per day to stay within their $98 budget.
SAME SOLUTION INEQUALITIES
Set up the equations with new numbers, substitute 280 for m and pick another variable to solve for. I chose to solve for total rental cost.
m= 280 miles per day
R= Rental cost per day
R> $0.10(280) + $50
R> $28 + $50
R> $78
Equation #1
$78> $0.10m + $50
----------
m= 280 miles per day
R= Rental cost per day
R> $0.18(280) + $44
R> $50.40 + $44
R> $94.40
Equation #2
$94.40> $0.18m + $44
ANSWER: 280> m; They have to drive less than 280 miles per day to stay within their $98 budget.
Equation #1: $78> $0.10m + $50
Equation #2: $94.40> $0.18m + $44
Hope this helps! :)
Answer:
Grace should use her phone for 58 minutes to maintain an average of 55 minutes.
Step-by-step explanation:
Usage of first month = 43 minutes
Second month = 62 minutes
Third Minutes = 57 minutes
Let, the usage of fourth month = k minutes
Mean of the data = 5 minutes
Now, Average of a Data = 
⇒
or, 55 x 4 = 162 + k
⇒ 220 - 162 = k
or, k = 58 minutes
So, Grace should use her phone for 58 minutes to maintain an average of 55 minutes.
Answer:
2-x=406.25
Step-by-step explanation:
2-x=1641/4-4
divide the numbers 1641\div \:4=410.25
2-x=410.25-4
