Answer: x= 2(2+sqrt(10)) , x=2(2-sqrt(10)
Step-by-step explanation:
x^2-8x=24 <- subtract 24 from both sides
x^2-8x-24 <- take quadratic formulat (-2+/- Sqrt(b^2 - 4ac)/2a
-(-8) +/- sqrt((-8)^2 - 4(1*-24) all over (2*1) <- simplify
(-(-8) +/- 4sqrt(10) )/2 <- sepereate
(-(-8) +/4sqrt(10) )/2 , (-(-8) - 4sqrt(10) )/2 <- simplify
2(2+sqrt(10)) , 2(2-sqrt(10) =x
Answer:
d=4
Step-by-step explanation:
Agency 1:
Total cost of renting a car=24.50d + 15.99
Agency 2:
Total cost of renting a car=27.50d + 3.99
Where, d=No. of days of renting the car
Which equation could be used to find the number of days, d, at which the rental fee is the same for both agencies?
The equation is by equating agency 1 and agency 2 equation
24.50d + 15.99 = 27.50d + 3.99
Collect like terms
24.50d - 27.50d = 3.99 - 15.99
-3d = -12
Divide both sides by -3
d= -12 / -3
=4
d=4
Check
Agency 1:
24.50d + 15.99
= 24.50(4) + 15.99
= 98 + 15.99
= 113.99
Agency 2:
27.50d + 3.99
= 27.50(4) + 3.99
= 110 + 3.99
= 133.99
When you are multiplying exponents with the same base, you can add the exponents. This is represented as:
In our case we are multiplying exponents with the same base 8 and exponents -7 and 5. The sum of -7 and 5 is -2, so our answer is .
Answer: 200
Step-by-step explanation: order of operations and your mom told me