Answer:
f = -3 , 5/2
Step-by-step explanation:
8f² + 4f - 60 = 0
Divide the entire equation by 4
2f² + f - 15 = 0
Product = -30
Sum = 1
Factors = -5 , 6 {(-5)*6 = -30 and -5 +6 = 1}
2f² + f -15 = 0 {Rewrite the middle term using the factors}
2f² + 6f - 5f -15 = 0
2f(f + 3) - 5(f + 3) = 0
(f +3) (2f - 5) = 0
f +3 = 0 ; 2f -5 = 0
f = -3 ; 2f = 5
f = 5/2
I find it convenient to look at the differences and the rate at which those differences are made up.
8. Jim is closing the $150 gap at the rate of $7.50 per week. He will catch up in
... 150/(7.5/week) = 20 weeks
9. At noon, the price of Stock A has increased by 0.05×3 = 0.15, so is now $15.90, which is $0.63 more than Stock B at that time. The prices are closing the gap at the rate of $0.05 +0.13 = $0.18 per hour, so will be the same after
... $0.63/($0.18/hour) = 3.5 hours . . . . after noon, at 3:30 pm
_____
You can also write and solve equations for the prices of the stocks. Or you can use a graphing calculator to tell you the solution. When equations are involved, I like to solve them the simplest possible way: let technology do it.
You are given the value at a time, and the rate of change of that value, so the equations are easily written in point-slope form. You will note that the common price at 3:30 pm (15.5 hours after midnight) is one that is not a whole number of cents. (That's usually OK for when trading stocks.)
Answer:
I'm pretty sure its a function sorry if i'm wrong.
Step-by-step explanation:
pls mark brainliest
Answer:
60.5
Step-by-step explanation:
11x11 will give you the area of the square, which is 121. Now you can divide that by 2 to get the shaded region.
To determine the number of possible passwords one can make out of the conditions in the given, we use the Fundamental Principles of Counting. There are 26 letters that can be used for the first character of the password. The same holds true for the second character. For the next three characters, there are 10 possible numbers in each slot. Multiplying the five numbers, we get 676,000. Hence, one can make 676,000 passwords.